@phdthesis{Hatahet, author = {Hatahet, Tareq}, title = {On the Analysis of the Disproportionate Structural Collapse in RC Buildings}, doi = {10.25643/bauhaus-universitaet.3740}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20180329-37405}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {243}, abstract = {Increasing structural robustness is the goal which is of interest for structural engineering community. The partial collapse of RC buildings is subject of this dissertation. Understanding the robustness of RC buildings will guide the development of safer structures against abnormal loading scenarios such as; explosions, earthquakes, fine, and/or long-term accumulation effects leading to deterioration or fatigue. Any of these may result in local immediate structural damage, that can propagate to the rest of the structure causing what is known by the disproportionate collapse. This work handels collapse propagation through various analytical approaches which simplifies the mechanical description of damaged reinfoced concrete structures due to extreme acidental event.}, subject = {Beton}, language = {en} } @phdthesis{Zhu, author = {Zhu, Pengtao}, title = {The Variability of the Void Ratio of Sand and its Effect on Settlement and Infinite Slope Stability}, doi = {10.25643/bauhaus-universitaet.3741}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20180403-37411}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {164}, abstract = {The uncertainty of a soil property can significantly affect the physical behavior of soil, so as to influence geotechnical practice. The uncertainty can be expressed by its stochastic parameters, including the mean, the standard deviation, and the spatial correlation length. These stochastic parameters are regarded as constant value in most of the former studies. The main aim of this thesis is to prove whether they are depth-dependent, and to evaluate the effect of this depth-dependent character on both the settlement and the infinite slope stability during rainwater infiltration. A stochastic one-dimensional settlement simulation is carried out using random finite element method with the von Wolffersdorff hypoplastic model, so as to evaluate the effect of stress level on the stochastic parameters of void ratio related parameters of sand. It is found that these stochastic parameters are both stress-dependent and depth-dependent. The non-stationary random field, considering the depth-dependent character of these stochastic parameters, can be generated through the distortion of the stationary random field. The one-dimensional settlement analysis is carried out to evaluation the effect of the depth-dependent character of the stochastic parameters of void ratio on the strain. It is found that the depth-dependent character has low effect on the strain. The deterministic analysis of infinite slope stability during rainwater infiltration is simulated. The transient seepage is carried out using finite difference method, while the steady state seepage is simulated using the analytical solution. The saturated hydraulic conductivity (ks) is taken as the only variable. The results show that the depth-dependent ks has a significant influence on the stability of the slope when the negative flux is high. Without considering the depth-dependent character, can overestimate the factor of safety of the slope. A slope can fail if the depth-dependent character is considered, while it is stable if the depth-dependent character is neglected. The failure time of the slope with a greater depth-dependent ks is earlier during transient infiltration. Meanwhile, the stochastic infinite slope stability analysis during infiltration, is also carried out to highlight the effect of the depth-dependent character of the stochastic parameters of ks. The results show that: the probability of failure is significantly increased if the depth-dependent character of mean is considered, while, it is moderately reduced if the depth-dependent character of the standard deviation is accounted. If the depth-dependent character of both the mean and standard deviation of ks is considered, the depth-dependent mean value plays a dominant influence on the results. Furthermore, the depth-dependent character of the spatial correlation length can slightly reduce the probability of failure.}, subject = {Bodenunruhe}, language = {en} } @phdthesis{Seiffarth, author = {Seiffarth, Torsten}, title = {Sorptionsverhalten von Cu2+ und NH4+ an Bentoniten unter Ber{\"u}cksichtigung von Nebengemengteilen sowie Struktur{\"a}nderungen nach moderater W{\"a}rmebehandlung}, doi = {10.25643/bauhaus-universitaet.1979}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20130718-19791}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {133}, abstract = {Bentonite sind quellf{\"a}hige Tone, die h{\"a}ufig in der Umwelttechnik (in Abdichtungsbauwerken oder in der Bodensanierung) eingesetzt werden. Ziel der Arbeit war die Kl{\"a}rung, wie eine unterschiedliche Kationenbelegung mit Cu2+ und NH4+ die Eigenschaften der Bentonite bei Raumtemperatur und nach moderater W{\"a}rmebehandlung (300 - 450°C) beeinflusst. Im Blickpunkt stand insbesondere die gleichzeitige Pr{\"a}senz von Kupfer- und Ammoniumionen, die als Vertreter f{\"u}r h{\"a}ufig auftretende Inhaltsstoffe von W{\"a}ssern in der Umgebung von technischen Bentoniten ausgew{\"a}hlt wurden. Die Untersuchungen zur Cu2+-Sorption bei Raumtemperatur und nach moderater W{\"a}rmebehandlung (300 - 450°C) erfolgten an Pulverproben von zwei technischen Bentoniten, die sich in der urspr{\"u}nglichen Kationenbelegung, Art und Anteil an Nebengemengteilen, sowie der Schichtladungsverteilung in den Montmorilloniten unterscheiden. Vor der W{\"a}rmebehandlung wurden die Bentonite durch Kontakt mit verschieden konzentrierten Kupfer- und Ammoniuml{\"o}sungen mit unterschiedlichen Gehalten der Kationen Cu2+, NH4+, Na+, Ca2+, Mg2+ belegt. Der Eintrag von Kupferionen in die Bentonite durch Kationenaustausch bei Raumtemperatur wurde erwartungsgem{\"a}ß durch pr{\"a}sente Nebengemengteile (wie Carbonat) beeinflusst, so dass die Kupferionen zus{\"a}tzlich spezifisch adsorbiert und in festen Phasen angereichert wurden. Die Cu2+-Fixierung infolge der W{\"a}rmebehandlung wurde vom Cu2+-Totalgehalt in den Bentoniten, der Pr{\"a}senz von Nebengemengteilen und die Schichtladungsverteilung in den Montmorilloniten beeinflusst. Es waren generell Behandlungstemperaturen von > 400°C erforderlich, um Cu2+-Fixierungsraten von > 95\% zu erzielen. Waren w{\"a}hrend der W{\"a}rmebehandlung neben Cu2+-Ionen gleichzeitig NH4+-Ionen in den Bentoniten pr{\"a}sent, konnte die Cu2+-Fixierungstemperatur herabgesetzt werden. Die Deammonisierung (NH4+ --> NH3 + H+) der NH4+-belegten Bentonite fand gr{\"o}ßtenteils unterhalb der Dehydroxylierungstemperatur der Bentonite statt. Durch Untersuchungen (XRD, FTIR, NMR, ESR) zum Mechanismus der Cu2+-Einbindung in die Bentonite an speziell aufbereiteten Proben (carbonatfrei, < 2 µm) konnte nachgewiesen werden, dass in den Cu2+-belegten Montmorilloniten die Cu2+-Ionen infolge der W{\"a}rmebehandlung nicht bis in die Oktaederschicht der Tonminerale vordringen, sondern nur bis in die Tetraederschicht wandern. In den NH4+-belegten Montmorilloniten treten im Zusammenhang mit der Deammonisierung keine zus{\"a}tzlichen Struktur{\"a}nderungen (wie Aufl{\"o}sung der Oktaederschicht) infolge der W{\"a}rmebehandlung auf.}, subject = {Bentonit}, language = {de} } @article{SchuchKaps, author = {Schuch, Kai and Kaps, Christian}, title = {Maturation and Structure Formation Processes in Binders with Aqueous Alkali-Silicate Solutions}, doi = {10.25643/bauhaus-universitaet.3597}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170907-35979}, pages = {1 -- 16}, abstract = {Maturation and structure formation processes can lead to crack formation in silicate and aluminosilicate binders (e.g. for coating materials...) through restricted deformation, loss of strength and thus to loss of durability. These processes are evaluated with silicate materials with an outlook on aluminosilicate binders.}, subject = {Waterglass}, language = {en} } @phdthesis{LopezZermeno, author = {L{\´o}pez Zerme{\~n}o, Jorge Alberto}, title = {Isogeometric and CAD-based methods for shape and topology optimization: Sensitivity analysis, B{\´e}zier elements and phase-field approaches}, doi = {10.25643/bauhaus-universitaet.4710}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220831-47102}, school = {Bauhaus-Universit{\"a}t Weimar}, abstract = {The Finite Element Method (FEM) is widely used in engineering for solving Partial Differential Equations (PDEs) over complex geometries. To this end, it is required to provide the FEM software with a geometric model that is typically constructed in a Computer-Aided Design (CAD) software. However, FEM and CAD use different approaches for the mathematical description of the geometry. Thus, it is required to generate a mesh, which is suitable for FEM, based on the CAD model. Nonetheless, this procedure is not a trivial task and it can be time consuming. This issue becomes more significant for solving shape and topology optimization problems, which consist in evolving the geometry iteratively. Therefore, the computational cost associated to the mesh generation process is increased exponentially for this type of applications. The main goal of this work is to investigate the integration of CAD and CAE in shape and topology optimization. To this end, numerical tools that close the gap between design and analysis are presented. The specific objectives of this work are listed below: • Automatize the sensitivity analysis in an isogeometric framework for applications in shape optimization. Applications for linear elasticity are considered. • A methodology is developed for providing a direct link between the CAD model and the analysis mesh. In consequence, the sensitivity analysis can be performed in terms of the design variables located in the design model. • The last objective is to develop an isogeometric method for shape and topological optimization. This method should take advantage of using Non-Uniform Rational B-Splines (NURBS) with higher continuity as basis functions. Isogeometric Analysis (IGA) is a framework designed to integrate the design and analysis in engineering problems. The fundamental idea of IGA is to use the same basis functions for modeling the geometry, usually NURBS, for the approximation of the solution fields. The advantage of integrating design and analysis is two-fold. First, the analysis stage is more accurate since the system of PDEs is not solved using an approximated geometry, but the exact CAD model. Moreover, providing a direct link between the design and analysis discretizations makes possible the implementation of efficient sensitivity analysis methods. Second, the computational time is significantly reduced because the mesh generation process can be avoided. Sensitivity analysis is essential for solving optimization problems when gradient-based optimization algorithms are employed. Automatic differentiation can compute exact gradients, automatically by tracking the algebraic operations performed on the design variables. For the automation of the sensitivity analysis, an isogeometric framework is used. Here, the analysis mesh is obtained after carrying out successive refinements, while retaining the coarse geometry for the domain design. An automatic differentiation (AD) toolbox is used to perform the sensitivity analysis. The AD toolbox takes the code for computing the objective and constraint functions as input. Then, using a source code transformation approach, it outputs a code for computing the objective and constraint functions, and their sensitivities as well. The sensitivities obtained from the sensitivity propagation method are compared with analytical sensitivities, which are computed using a full isogeometric approach. The computational efficiency of AD is comparable to that of analytical sensitivities. However, the memory requirements are larger for AD. Therefore, AD is preferable if the memory requirements are satisfied. Automatic sensitivity analysis demonstrates its practicality since it simplifies the work of engineers and designers. Complex geometries with sharp edges and/or holes cannot easily be described with NURBS. One solution is the use of unstructured meshes. Simplex-elements (triangles and tetrahedra for two and three dimensions respectively) are particularly useful since they can automatically parameterize a wide variety of domains. In this regard, unstructured B{\´e}zier elements, commonly used in CAD, can be employed for the exact modelling of CAD boundary representations. In two dimensions, the domain enclosed by NURBS curves is parameterized with B{\´e}zier triangles. To describe exactly the boundary of a two-dimensional CAD model, the continuity of a NURBS boundary representation is reduced to C^0. Then, the control points are used to generate a triangulation such that the boundary of the domain is identical to the initial CAD boundary representation. Thus, a direct link between the design and analysis discretizations is provided and the sensitivities can be propagated to the design domain. In three dimensions, the initial CAD boundary representation is given as a collection of NURBS surfaces that enclose a volume. Using a mesh generator (Gmsh), a tetrahedral mesh is obtained. The original surface is reconstructed by modifying the location of the control points of the tetrahedral mesh using B{\´e}zier tetrahedral elements and a point inversion algorithm. This method offers the possibility of computing the sensitivity analysis using the analysis mesh. Then, the sensitivities can be propagated into the design discretization. To reuse the mesh originally generated, a moving B{\´e}zier tetrahedral mesh approach was implemented. A gradient-based optimization algorithm is employed together with a sensitivity propagation procedure for the shape optimization cases. The proposed shape optimization approaches are used to solve some standard benchmark problems in structural mechanics. The results obtained show that the proposed approach can compute accurate gradients and evolve the geometry towards optimal solutions. In three dimensions, the moving mesh approach results in faster convergence in terms of computational time and avoids remeshing at each optimization step. For considering topological changes in a CAD-based framework, an isogeometric phase-field based shape and topology optimization is developed. In this case, the diffuse interface of a phase-field variable over a design domain implicitly describes the boundaries of the geometry. The design variables are the local values of the phase-field variable. The descent direction to minimize the objective function is found by using the sensitivities of the objective function with respect to the design variables. The evolution of the phase-field is determined by solving the time dependent Allen-Cahn equation. Especially for topology optimization problems that require C^1 continuity, such as for flexoelectric structures, the isogeometric phase field method is of great advantage. NURBS can achieve the desired continuity more efficiently than the traditional employed functions. The robustness of the method is demonstrated when applied to different geometries, boundary conditions, and material configurations. The applications illustrate that compared to piezoelectricity, the electrical performance of flexoelectric microbeams is larger under bending. In contrast, the electrical power for a structure under compression becomes larger with piezoelectricity.}, subject = {CAD}, language = {en} } @phdthesis{ShaabanMohamed, author = {Shaaban Mohamed, Ahmed Mostafa}, title = {Isogeometric boundary element analysis and structural shape optimization for Helmholtz acoustic problems}, doi = {10.25643/bauhaus-universitaet.4703}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220816-47030}, school = {Bauhaus-Universit{\"a}t Weimar}, abstract = {In this thesis, a new approach is developed for applications of shape optimization on the time harmonic wave propagation (Helmholtz equation) for acoustic problems. This approach is introduced for different dimensional problems: 2D, 3D axi-symmetric and fully 3D problems. The boundary element method (BEM) is coupled with the isogeometric analysis (IGA) forming the so-called (IGABEM) which speeds up meshing and gives higher accuracy in comparison with standard BEM. BEM is superior for handling unbounded domains by modeling only the inner boundaries and avoiding the truncation error, present in the finite element method (FEM) since BEM solutions satisfy the Sommerfeld radiation condition automatically. Moreover, BEM reduces the space dimension by one from a volumetric three-dimensional problem to a surface two-dimensional problem, or from a surface two-dimensional problem to a perimeter one-dimensional problem. Non-uniform rational B-splines basis functions (NURBS) are used in an isogeometric setting to describe both the CAD geometries and the physical fields. IGABEM is coupled with one of the gradient-free optimization methods, the Particle Swarm Optimization (PSO) for structural shape optimization problems. PSO is a straightforward method since it does not require any sensitivity analysis but it has some trade-offs with regard to the computational cost. Coupling IGA with optimization problems enables the NURBS basis functions to represent the three models: shape design, analysis and optimization models, by a definition of a set of control points to be the control variables and the optimization parameters as well which enables an easy transition between the three models. Acoustic shape optimization for various frequencies in different mediums is performed with PSO and the results are compared with the benchmark solutions from the literature for different dimensional problems proving the efficiency of the proposed approach with the following remarks: - In 2D problems, two BEM methods are used: the conventional isogeometric boundary element method (IGABEM) and the eXtended IGABEM (XIBEM) enriched with the partition-of-unity expansion using a set of plane waves, where the results are generally in good agreement with the linterature with some computation advantage to XIBEM which allows coarser meshes. -In 3D axi-symmetric problems, the three-dimensional problem is simplified in BEM from a surface integral to a combination of two 1D integrals. The first is the line integral similar to a two-dimensional BEM problem. The second integral is performed over the angle of revolution. The discretization is applied only to the former integration. This leads to significant computational savings and, consequently, better treatment for higher frequencies over the full three-dimensional models. - In fully 3D problems, a detailed comparison between two BEM methods: the conventional boundary integral equation (CBIE) and Burton-Miller (BM) is provided including the computational cost. The proposed models are enhanced with a modified collocation scheme with offsets to Greville abscissae to avoid placing collocation points at the corners. Placing collocation points on smooth surface enables accurate evaluation of normals for BM formulation in addition to straightforward prediction of jump-terms and avoids singularities in \$\mathcal{O} (1/r)\$ integrals eliminating the need for polar integration. Furthermore, no additional special treatment is required for the hyper-singular integral while collocating on highly distorted elements, such as those containing sphere poles. The obtained results indicate that, CBIE with PSO is a feasible alternative (except for a small number of fictitious frequencies) which is easier to implement. Furthermore, BM presents an outstanding treatment of the complicated geometry of mufflers with internal extended inlet/outlet tube as an interior 3D Helmholtz acoustic problem instead of using mixed or dual BEM.}, subject = {Randelemente-Methode}, language = {en} } @phdthesis{Peters, author = {Peters, Simone}, title = {The Influence of Power Ultrasound on Setting and Strength Development of Cement Suspensions}, isbn = {ISBN 978-3-00-055602-9}, doi = {10.25643/bauhaus-universitaet.2744}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170210-27446}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {146}, abstract = {Ein aktuelles Thema in der Forschung der Betonindustrie ist die gezielte Steuerung des Erstarrens und der Entwicklung der (Fr{\"u}h)Festigkeit von Betonen und M{\"o}rteln. Aus {\"o}konomischer Sicht sind außerdem die Reduktion der CO2-Emission und die Schonung von Ressourcen und Energie wichtige Forschungsschwerpunkte. Eine M{\"o}glichkeit zum Erreichen dieser Ziele ist es, die Reaktivit{\"a}t/Hydratation der silikatischen Klinkerphasen gezielt anzuregen. Neben den bereits bekannten M{\"o}glichkeiten der Hydratationsbeschleunigung (u.a. W{\"a}rmebehandlung, Zugabe von Salzen) bietet die Anwendung von Power-Ultraschall (PUS) eine weitere Alternative zur Beschleunigung der Zementhydratation. Da bis zum jetzigen Zeitpunkt noch keine Erfahrungen zum Einsatz von PUS in der Zementchemie vorliegen, sollen mit der vorliegenden Arbeit grundlegende Kenntnisse zum Einfluss von PUS auf das Fließ- und Erstarrungsverhalten von Zementsuspensionen erarbeitet werden. Dazu wurde die Arbeit in f{\"u}nf Hauptuntersuchungsabschnitte aufgeteilt. Im ersten Teil wurden optimale PUS-Parameter wie Amplitude und Energieeintrag ermittelt, die eine effiziente Beschleunigung der Portlandzement(CEM I)hydratation bei kurzen Beschallzeiten und begrenzter Zementleimtemperaturerh{\"o}hung erlauben. Mit Hilfe unabh{\"a}ngiger Untersuchungsmethoden (Bestimmung des Erstarrungsbeginns, der Festigkeitsentwicklung, zerst{\"o}rungsfreier Ultraschallpr{\"u}fung, isothermer W{\"a}rmeflusskalorimetrie, hochaufl{\"o}sender Rasterelektronmikroskopie (REM) wurde die Wirkung von PUS auf den Hydratationsverlauf von CEM I-Suspensionen charakterisiert. Die Ergebnisse zeigen, dass die Behandlung von CEM I-Suspensionen mit PUS grunds{\"a}tzlich ein beschleunigtes Erstarren und eine beschleunigte (Fr{\"u}h)Festigkeitsentwicklung hervorruft. Anhand von REM-Untersuchungen konnte eindeutig nachgewiesen werden, dass die Beschleunigung der CEM I-Hydratation mit einer beschleunigten Hydratation der Hauptklinkerphase Alit korreliert. Auf Grundlage dieser Erkenntnisse wurden die Ursachen der Aktivierung der Alithydratation untersucht. Dazu wurden Untersuchungen an Einzelsystemen des CEM I (silikatische Klinkerphase) durchgef{\"u}hrt. Es ist bekannt, das die Hydratation der Hauptklinkerphase Alit (in der reinen Form Tricalciumsilikat 3CaO*SiO2; C3S) durch L{\"o}sungs-/F{\"a}llungsreaktionen (Bildung von Calcium-Silikat-Hydrat Phasen, C-S-H Phasen) bestimmt wird. Mit Hilfe von Untersuchungen zur Aufl{\"o}sung (C3S) und Kristallbildung (C-S-H Phasen) in L{\"o}sungen und Suspensionen (Aufzeichnung der elektrischen Leitf{\"a}higkeit sowie Bestimmung der Ionenkonzentrationen der w{\"a}ssrigen Phase, REM-Charakterisierung der Pr{\"a}zipitate) wurde die Beeinflussung dieser durch eine PUS-Behandlung charakterisiert. Die Ergebnisse zeigen, dass in partikelfreien L{\"o}sungen (prim{\"a}re Keimbildung) eine PUS-Behandlung keinen Einfluss auf die Kinetik der Kristallisation von C-S-H Phasen hervorruft. Das heißt, auch die durch PUS eingetragene Energie reicht offensichtlich nicht aus, um in Abwesenheit von Oberfl{\"a}chen die C-S-H Phasen Bildung zu beschleunigen. Das weist darauf hin, dass die Bildung von C-S-H Phasen nicht durch eine Beschleunigung von Ionen in der L{\"o}sung (erh{\"o}hte Diffusion durch Anwendung von PUS) hervorgerufen wird. Eine Beschleunigung des Kristallisationsprozesses (Keimbildung und Wachstum von C-S-H Phasen) durch PUS wird nur in Anwesenheit von Partikeln in der L{\"o}sung (Suspension) erzielt. Das belegen Ergebnisse, bei denen die Bildung erster C-S-H Phasen bei geringer {\"U}bers{\"a}ttigung (heterogene Keimbildung, in Anwesenheit von Oberfl{\"a}chen) erfolgt. Unter diesen Bedingungen konnte gezeigt werden, dass PUS innerhalb der ersten 30 Minuten der Hydratation eine erh{\"o}hte F{\"a}llung von ersten C-S-H Phasen bewirkt. Diese fungieren dann vermutlich w{\"a}hrend der Haupthydratation als Keim bzw. geeignete Oberfl{\"a}che zum beschleunigten Aufwachsen von weiteren C-S-H Phasen. Weiterhin ist vorstellbar, dass (in Analogie zu anderen Bereichen der Sonochemie) PUS durch Kavitation Schockwellen hervorruft, welche Partikel und w{\"a}ssriges Medium beschleunigen und damit erh{\"o}hte Partikelbewegungen und -kollisionen induziert. Dies wiederum bewirkt, dass die anf{\"a}nglich auf der C3S-Oberfl{\"a}che gebildeten C-S-H Phasen teilweise wieder entfernt werden. Damit ist das Inl{\"o}sunggehen von Ca- und Si-Ionen aus dem C3S weiterhin m{\"o}glich. Um den genauen Mechanismus weiter zu charakterisieren sollten mit geeigneten Methoden weitere Untersuchungen durchgef{\"u}hrt werden. Im zweiten Teil der Arbeit wurde der Einfluss von PUS auf das Fließverhalten von CEM I-Suspensionen untersucht. Aus der Anwendung von PUS in anderen technischen Bereichen sind unter anderem Effekte wie das Entl{\"u}ften, das Homogenisieren und das Dispergieren von Suspensionen und Emulsionen mittels PUS bekannt. Mit Hilfe der Bestimmung des Luftporengehaltes, Sedimentationsversuchen und cryo-SEM Untersuchungen wurde der Einfluss von PUS auf CEM I-Suspensionen charakterisiert. Die Ergebnisse belegen, dass durch PUS eine verbesserte Homogenit{\"a}t und Dispergierung der CEM I-Suspension erzielt wird. Damit wird f{\"u}r CEM I-Suspensionen unterschiedlichster w/z-Werte eine verbesserte Fließf{\"a}higkeit festgestellt. Ergebnisse der Bestimmung von Ausbreitmaßen und Trichterauslaufzeiten zeigen, dass PUS einen direkten Einfluss vor allem auf die Viskosit{\"a}t der CEM I-Suspensionen besitzt. Werden Fließmitteln (FM) der CEM I-Suspension zugegeben, wird nicht in jedem Fall eine verbesserte Fließf{\"a}higkeit festgestellt. Hier scheint unter bestimmten Voraussetzungen (w/z-Wert, FM-Gehalt, PUS) die Reaktion zwischen Aluminat- und Sulfatphase des Klinkers gest{\"o}rt. Zur eindeutigen Kl{\"a}rung dieses Sachverhaltes bedarf es jedoch weiterer quantitativer Untersuchungen zum Reaktionsumsatz. Im dritten Teil der Arbeit wurden die am CEM I gewonnenen Erkenntnisse zum Einfluss von PUS auf die Hydratation an Portland-H{\"u}ttensand(H{\"U}S)-Zement-Systemen verifiziert. Daf{\"u}r wurden auch in diesem Teil der Arbeit zun{\"a}chst die optimalen PUS-Parameter festgelegt und der Einfluss auf das Erstarrung- und Erh{\"a}rtungsverhalten dokumentiert. Untersuchungsmethoden sind unter anderem die Bestimmung des Erstarrungsbeginns und der (Fr{\"u}h)Festigkeitsentwicklung, Temperaturaufzeichnungen und isothermale W{\"a}rmeflusskalorimetrie sowie REM. Die Ergebnisse zeigen, dass auch die Reaktion von H{\"U}S-Zementen durch PUS beschleunigt wird. Weiterf{\"u}hrende Untersuchungen belegen, dass die erzielte Beschleunigung vorwiegend auf der Beschleunigung der Alitkomponente des CEM I beruht. Im Fokus der Teile vier und f{\"u}nf dieser Arbeit stand die Anwendbarkeit der PUS-Technik unter praktischen Bedingungen. Zum einen wurde die Anwendbarkeit von PUS in fertig gemischten M{\"o}rteln beurteilt. Anhand des Vergleichs wichtiger Frisch- und Festm{\"o}rteleigenschaften unterschiedlich hergestellter M{\"o}rtel (beschallt im Anschluss an konventionelle Mischtechnik, beschallt im Anschluss an Suspensionsmischtechnik mit anschließender Zumischung der Gesteinsk{\"o}rnung und nicht beschallt) wird gezeigt, dass im Fall von M{\"o}rteln mit hohem Leimanteil eine durch PUS induzierte beschleunigte Festigkeitsentwicklung auch mit herk{\"o}mmlichen Mischabl{\"a}ufen (ohne aufwendige Umstellung des Mischprozesses) m{\"o}glich ist. Abschließend wird untersucht, ob der Herstellungsprozess von Wandbauteilen im Fertigteilwerk durch den Einsatz von PUS optimiert werden kann und ob eine Einbindung der PUS-Technik in den Fertigungsprozess ohne gr{\"o}ßeren Aufwand m{\"o}glich ist. Dazu wurden in einem ersten Schritt die Frisch- und Festbetoneigenschaften eines aktuell angewendeten selbstverdichtenden Betons im Labormaßstab (M{\"o}rtel) in Abh{\"a}ngigkeit einer PUS-Behandlung dokumentiert und mit der seiner unbeschallten Referenz verglichen. Aufgrund der durch PUS verursachten verbesserten Fließ- und Festigkeitseigenschaften kann die beschallte M{\"o}rtelrezeptur hinsichtlich Fließmittelgehalt und Dauer der W{\"a}rmebehandlung optimiert werden. Somit werden ca. 30 \% der Fließmittelzugabe und 40 \% der Dauer der W{\"a}rmebehandlung eigespart. Eine Einbindung der PUS-Technik in das betrachtete Fertigteilwerk ist nach {\"U}berpr{\"u}fung der konstruktiven Gegebenheiten der Fertigungsstrukturen ohne gr{\"o}ßeren Aufwand m{\"o}glich.}, subject = {Cement}, language = {en} } @phdthesis{Schoeler, author = {Sch{\"o}ler, Axel}, title = {Hydration of multi-component cements containing clinker, slag, type-V fly ash and limestone}, doi = {10.25643/bauhaus-universitaet.2622}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20160705-26221}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {189}, abstract = {Problemstellung und Zielsetzung 1. Die Herstellung von Portlandzementklinker tr{\"a}gt zu etwa 5 bis 8 \% zur j{\"a}hrlichen Emissionsmenge an menschlich generiertem CO2 bei. Dies ist begr{\"u}ndet in der Verwendung von fossilen Brennstoffen (ca. 40 \% des gesamten CO2) und in der Ents{\"a}uerung des stark kalksteinhaltigen Rohmehls (ca. 60 \% des gesamten CO2). 2. Verschiedene Strategien zur Verringerung des Ausstoßes an CO2 werden angewandt. Dies sind insbesondere die Optimierung der Prozessf{\"u}hrung bei der Klinkerherstellung, die Verwendung alternativer Brennstoffe und die teilweise Substitution des Klinkeranteils in Zementen mit mehreren Hauptbestandteilen durch Zementersatzstoffe, sogenannte SCM (supplementary cementitious materials), wobei H{\"u}ttensand, Flugasche und Kalksteinmehl die meist verwendeten Materialien darstellen. 3. Durch die Reduktion des Klinkeranteils k{\"o}nnen quatern{\"a}re Systeme nicht nur einen Beitrag zur Reduzierung von CO2-Emissionen leisten. Ebenfalls ist es mit derartigen Systemen m{\"o}glich H{\"u}ttensande und Flugaschen m{\"o}glichst {\"o}konomisch einzusetzen und gegebenenfalls auf Engp{\"a}sse bei deren Verf{\"u}gbarkeit zu reagieren. 4. H{\"u}ttensande und Flugaschen zeigen {\"A}hnlichkeiten in ihrer prinzipiellen chemischen Zusammensetzung, so dass {\"a}hnliche Hydratphasen w{\"a}hrend ihrer Reaktion in Anwesenheit von Portlandzement gebildet werden k{\"o}nnen. Im Vergleich zu tern{\"a}ren Systemen, die neben Kalkstein auch H{\"u}ttensand oder Flugasche enthalten, kann bei quatern{\"a}ren Zementen, die neben Kalkstein sowohl H{\"u}ttensand als auch Flugasche enthalten, eine {\"a}hnliche Phasenentwicklung und damit auch {\"a}hnliche Festigkeitsentwicklung erwartet werden. 5. Die Verwendung von SCM als Zementersatzstoff ist durch die im Vergleich zu Portlandzement deutlich langsamere Reaktion und die dadurch bedingte ebenfalls langsamere Festigkeitsentwicklung begrenzt. Dies betrifft insbesondere die Entwicklung innerhalb der ersten 28 Tage. Dementsprechend ist es unerl{\"a}sslich die Reaktivit{\"a}t von SCM wie H{\"u}ttensanden und Flugaschen eingehend zu untersuchen um die Reaktionsf{\"a}higkeit- und Geschwindigkeit und somit die Festigkeitsentwicklung zu steigern. 6. Die fr{\"u}he Reaktion der Hauptklinkerphasen ist weitgehend untersucht und beschrieben, wobei entsprechende Studien meist hochverd{\"u}nnte Modellsysteme betrachten. Jedoch gibt es kaum Hinweise inwiefern diese Erkenntnisse auf konzentrierte Systeme bei realistischen Wasser-Feststoff Verh{\"a}ltnissen {\"u}bertragen werden k{\"o}nnen. Entsprechende Untersuchungen sind n{\"o}tig um die Wechselwirkungen von Portlandzement und SCM in der Fr{\"u}hphase der Reaktion zu beschreiben. Stand der Wissenschaft 7. In verd{\"u}nnten Systemen f{\"u}hrt steigender Ca-Gehalt zu einer niedrigeren Aufl{\"o}sungsrate von C3S und C2S. 8. Bestimmende Faktoren der Aufl{\"o}sung von C3S sind sowohl die Unters{\"a}ttigung bez{\"u}glich C3S als auch die {\"U}bers{\"a}ttigung in Bezug auf C-S-H. 9. Erh{\"o}hte Al-Konzentrationen f{\"u}hren zur Verz{\"o}gerung der Hydratation von C3S. Dies kann begr{\"u}ndet sein durch die Einbindung von Al in C-S-H und eine dadurch bedingte deutlich langsamere Wachstumsrate von C-(A)-S-H. Ebenfalls scheint ein verz{\"o}gernder Effekt von Al auf die Aufl{\"o}sung von C3S m{\"o}glich. 10. Die Oberfl{\"a}che von Kalkstein bietet besonders gute Bedingungen f{\"u}r die Keimbildung von C-S-H, so dass im Vergleich zu anderen SCM in Anwesenheit von Kalkstein deutlich mehr C-S-H Keime gebildet werden. 11. Die Reaktivit{\"a}t von H{\"u}ttensand und Flugasche wird einerseits durch die Korngr{\"o}sse, andererseits jedoch auch durch die intrinsische Reaktivit{\"a}t des amorphen Anteils selbst bestimmt. 12. In amorphen (Calcium)Aluminosilikaten f{\"u}hrt ein steigender Gehalt an Netzwerkmodifizierern, wie z.B. CaO, zu einem st{\"a}rker depolymerisierten Glasnetzwerk und damit zu steigender Reaktivit{\"a}t. Die Wirkung von amphoteren Oxiden (Al2O3, Fe2O3) die sowohl als Netzwerkmodifizierer als auch als Netzwerkbildner auftreten k{\"o}nnen ist nicht vollst{\"a}ndig gekl{\"a}rt. 13. CO2 haltige Monophasen besitzen im Vergleich zu Monosulfoaluminat eine h{\"o}here thermodynamische Stabilit{\"a}t, wodurch Ettringit stabilisiert wird. Durch das hohe spezifische Volumen von Ettringit wird ein Maximum an Raumausf{\"u}llung, dadurch eine geringere Porosit{\"a}t und in Folge ein Maximum an Festigkeit erreicht. 14. Kalkstein reagiert nur in geringem Ausmaß entsprechend dem zur Reaktion vorhandenen Al2O3, wobei sich zun{\"a}chst Hemicarboaluminat, sp{\"a}ter Monocarboaluminat bildet. Dabei wird Al2O3 nicht nur durch den Portlandzement selbst, sondern auch durch die Aufl{\"o}sung von SCM, insbesondere von Flugasche, zur Verf{\"u}gung gestellt. Methodik 15. Der Einfluss von SCM auf die fr{\"u}he Hydratation von Portlandzement in bin{\"a}ren (d.h. H{\"u}ttensand oder Flugasche oder Quarz) und tern{\"a}ren (d.h. Flugasche und Kalkstein) Systemen wurde mittels isothermer Kalorimetrie und Porenl{\"o}sungsanalysen untersucht. {\"U}ber die chemische Zusammensetzung der Porenl{\"o}sung ermittelte S{\"a}ttigungsindices und L{\"o}slichkeitsprodukte wurden in Bezug zur W{\"a}rmeentwicklung gesetzt. Basierend auf den ermittelten Daten wurde evaluiert, inwiefern Mechanismen die die Hydratation von reinen Klinkerphasen in verd{\"u}nnten Systemen bestimmen ebenfalls in Zementpasten unter realistischen Bedingungen maßgebend sind. 16. Der Einfluss der chemischen Zusammensetzung auf die Reaktivit{\"a}t von Gl{\"a}sern bei hohem pH (>13) wurde mittels Ionenchromatographie in hoch verd{\"u}nnten Systemen untersucht. Puzzolanit{\"a}tstests wurden an vereinfachten Modellsystemen sowie an Portlandzement-Glass-Systemen durchgef{\"u}hrt. Das Reaktionsverhalten der Gl{\"a}ser wurde {\"u}ber isotherme Kalorimetrie und thermogravimetrische Experimente untersucht. {\"U}ber Massenbilanzkalkulationen kann der Gehalt an gebundenem Wasser in Funktion der Menge an reagiertem Glas berechnet werden. Ein Abgleich mit gebundenem Wasser bestimmt {\"u}ber thermogravimetrische Untersuchungen erlaubt es, den Reaktionsgrad der Gl{\"a}ser abzusch{\"a}tzen. Zus{\"a}tzliche Experimente mittels selektiver L{\"o}sung wurden zu Vergleichszwecken durchgef{\"u}hrt. 17. Die Reaktionskinetik von quatern{\"a}ren Pasten die sowohl Kalksteinmehl als auch H{\"u}ttensand und Flugasche enthalten wurden bis zum Alter von 28 Tagen mittels isothermer Kalorimetrie und Experimenten zum chemischen Schwinden untersucht. Erg{\"a}nzend wurden Festigkeitspr{\"u}fungen an M{\"o}rtelprismen durchgef{\"u}hrt. 18. Quatern{\"a}re Pasten wurden ebenfalls hinsichtlich der gebildeten Hydratphasen bis zu einem Alter von 182 Tagen untersucht. Hierzu wurden basierend auf thermodynamischen Modellierungen volumetrische Berechnungen zum gesamten Phasenvolumen als Funktion des Kalkstein- und des Flugaschen- bzw. H{\"u}ttensandgehalts durchgef{\"u}hrt. Erg{\"a}nzt durch thermogravimetrische Ermittlung des Gehalts an gebundenem Wasser und Portlandit, sowie mittels qualitativen r{\"o}ntgendiffraktometrischen Untersuchungen wurden die Ergebnisse der thermodynamischen Berechnungen mit der Festigkeitsentwicklung von M{\"o}rtelprismen abgeglichen. 19. Porenl{\"o}sungen von quatern{\"a}ren Systemen wurden bis zu einem Alter von 728 Tagen mittels Ionenchromatographie und pH-Bestimmung analysiert. {\"U}ber die ermittelten Konzentrationen wurden S{\"a}ttigungsindices f{\"u}r relevante Phasen ermittelt. Im Hinblick auf den Einfluss des H{\"u}ttensandes wurden Porenl{\"o}sungen f{\"u}r ausgew{\"a}hlte Systeme bei verschiedenen H{\"u}ttensandgehalten (20 und 30 M.\%) bei 91 Tagen, sowie f{\"u}r die gesamten Matrix bis zu 91 Tagen, auf verschiedene Schwefelspecies untersucht. Im Wesentlichen erzielte Ergebnisse 20. Untersuchungen zur fr{\"u}hen Reaktionskinetik von bin{\"a}ren Systemen zeigten einen st{\"a}rkeren W{\"a}rmefluss in Anwesenheit von SCM, bedingt durch erh{\"o}hte f{\"u}r die Keimbildung zur Verf{\"u}gung stehende Oberfl{\"a}che sowie eine geringere ({\"U}ber)S{\"a}ttigung bez{\"u}glich C-S-H. Erh{\"o}hte Ca-Konzentrationen f{\"u}hrten nicht zu langsamerer Aufl{\"o}sung von C3S, wie dies f{\"u}r reine Phasen bei hoher Verd{\"u}nnung beobachtet wurde. Im Gegensatz zu Untersuchungen in Reinstsystemen f{\"u}hrten h{\"o}here Ca-Konzentrationen nicht zu geringeren Reaktionsraten von C3S. Die schnellste Reaktion wurde bei Anwesenheit von Kalkstein, d.h. den h{\"o}chsten Ca-Konzentrationen, beobachtet. Die grunds{\"a}tzliche Reaktionscharakteristik zeigt einen inversen Bezug zur Unters{\"a}ttigung bez{\"u}glich C3S, wobei h{\"o}here Unters{\"a}ttigung zu schnellerer Reaktion f{\"u}hrt. Wie ebenfalls in Reinstsystemen bei hoher Verd{\"u}nnung beobachtet, f{\"u}hrt die Anwesenheit von Aluminium zur Verz{\"o}gerung der Reaktion. H{\"o}here SO42--Konzentrationen wurden in Anwesenheit von Flugasche beobachtet was die Ettringitausf{\"a}llung verhinderte und zu h{\"o}heren Al-Konzentrationen f{\"u}hrt. Dieser Mechanismus f{\"u}hrt zu h{\"o}heren Al-Konzentrationen in Gegenwart von Quarz, H{\"u}ttensand und Kalkstein im Gegensatz zu Anwesenheit von Flugasche. 21. Die fr{\"u}he Hydratation von quatern{\"a}ren Systemen wird in Anwesenheit von Kalkstein deutlich beschleunigt, w{\"a}hrend Flugasche zu einer Verz{\"o}gerung f{\"u}hrt. Im Gegensatz zu einem Referenzsystem mit inertem Quarz konnte mittels isothermer Kalorimetrie und chemischem Schwinden eine Reaktionsbeschleunigung in Anwesenheit von H{\"u}ttensand nachgewiesen werden. Weitere Zugaben an Flugasche, Kalkstein oder Mischungen von beiden f{\"u}hrten zu einer weiteren Beschleunigung, wobei die Unterschiede zwischen diesen Materialien zu gering sind um eine klare Unterscheidung zu erm{\"o}glichen. 22. Bei allen zur Glasaufl{\"o}sung- bzw. Reaktivit{\"a}t durchgef{\"u}hrten Experimenten zeigten sich identische Trends, d.h. steigende Reaktivit{\"a}t und Aufl{\"o}sungsgeschwindigkeit mit steigendem Anteil an Netzwerkmodifizierern innerhalb der Glasstruktur. Die Ergebnisse weisen darauf hin, dass Al2O3 in s{\"a}mtlichen betrachteten Glaszusammensetzungen vorwiegend als Netzwerkmodifizierer vorliegt. Die thermogravimetrische Bestimmung von gebundenem Wasser bei den Modellsystemen und den glashaltigen Zementen kann {\"u}ber Massenbilanzberechnungen als Funktion des Anteils an reagiertem Glas zur Absch{\"a}tzung des Glasreaktionsgrades verwendet werden. 23. Zu fr{\"u}hen Zeiten von bis zu 7 Tagen hat der Anteil an H{\"u}ttensand, Flugasche oder Kalkstein keinen wesentlichen Einfluss auf die Festigkeitsentwicklung. Zu sp{\"a}teren Zeiten wurde {\"u}ber thermodynamische Berechnungen ein Reaktionsgrad des enthaltenen CaCO3 (Calcit) von 2 bis 5 M.\% ermittelt. Dies f{\"u}hrt zur Bildung von Hemicarboaluminat und Monocarboaluminat wodurch Ettringit indirekt stabilisiert wird. In Folge ergibt sich ein h{\"o}heres absolutes Volumen der gebildeten Hydratphasen und damit h{\"o}here Festigkeiten wie Festigkeitsuntersuchungen an M{\"o}rtelprismen zeigen. Dabei h{\"a}ngt der Reaktionsgrad des CaCO3 vom verf{\"u}gbaren Al2O3 ab, welches neben dem Portlandzement selbst auch durch die Reaktion von H{\"u}ttensand, im Besonderen aber durch die Aufl{\"o}sung der Flugasche zur Verf{\"u}gung steht. 24. Allgemein hat die Anwesenheit von H{\"u}ttensand und Flugasche in Gegenwart von Kalkstein wenig Einfluss auf die gebildeten Hydratphasen. Die sukzessive Substitution von H{\"u}ttensand durch Flugasche f{\"u}hrt zu einer geringen Abnahme von Portlandit und C-S-H und beg{\"u}nstigt die Bildung von mehr Monocarboaluminat und Hemicarboaluminat. Portlandit reagiert puzzolanisch mit der Flugasche wobei sich C-S-H bildet. Dennoch f{\"u}hrt die geringe Reaktivit{\"a}t der Flugasche zu geringerem Gehalt an C-S-H was wiederrum sinkendes gesamtes Hydratphasenvolumen und damit niedrigere Festigkeitswerte generiert. Allerdings ist der Einfluss gering und alle untersuchten Systeme erreichen die Festigkeitsklasse 42.5 N entsprechend EN 196-1. 25. Analog zur Hydratphasenbildung zeigten Untersuchungen der Porenl{\"o}sungschemie von quatern{\"a}ren Systemen durchweg {\"a}hnliche Ergebnisse. Entsprechend dem Gehalt an Flugasche sind die st{\"a}rksten Variationen in den Al-Konzentrationen zu verzeichnen, welche mit steigendem Gehalt an Flugasche und mit fortschreitender Hydratation ansteigen. Weiterhin ist zu sp{\"a}teren Zeiten Portlandit bei hohen Gehalten an Flugasche zusehends unters{\"a}ttigt, w{\"a}hrend die Unters{\"a}ttigung bez{\"u}glich Str{\"a}tlingit abnimmt, was auf die Aufl{\"o}sung von Portlandit hinweist. 26. Der absolute Gehalt an SO3 in der Porenl{\"o}sung wird dominiert von Sulfat (SO42-), w{\"a}hrend die Konzentrationen von Sulfit (SO32-) und Thiosulfat (S2O32-) sehr niedrig waren. Nach 2 Tagen lagen ca. 90 \% des gesamten Schwefels in Form von SO42- vor. Nach 91 Tagen waren dies ca. 36 \% w{\"a}hrend ca. 28 \% als S2O32- vorlagen. Bei h{\"o}heren Gehalten an H{\"u}ttensand sind dabei nach 7 Tagen h{\"o}here Konzentrationen an SO32- und S2O32- feststellbar.}, subject = {Hydrauliche Bindemittel}, language = {en} } @phdthesis{Mai, author = {Mai, Luu}, title = {Structural Control Systems in High-speed Railway Bridges}, issn = {1610-7381}, doi = {10.25643/bauhaus-universitaet.2339}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20141223-23391}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {147}, abstract = {Structural vibration control of high-speed railway bridges using tuned mass dampers, semi-active tuned mass dampers, fluid viscous dampers and magnetorheological dampers to reduce resonant structural vibrations is studied. In this work, the addressed main issues include modeling of the dynamic interaction of the structures, optimization of the parameters of the dampers and comparison of their efficiency. A new approach to optimize multiple tuned mass damper systems on an uncertain model is proposed based on the H-infinity optimization criteria and the DK iteration procedure with norm-bounded uncertainties in frequency domain. The parameters of tuned mass dampers are optimized directly and simultaneously on different modes contributing significantly to the multi-resonant peaks to explore the different possible combinations of parameters. The effectiveness of the present method is also evaluated through comparison with a previous method. In the case of semi-active tuned mass dampers, an optimization algorithm is derived to control the magnetorheological damper in these semi-active damping systems. The use of the proposed algorithm can generate various combinations of control gains and state variables. This can lead to the improvement of the ability of MR dampers to track the desired control forces. An uncertain model to reduce detuning effects is also considered in this work. Next, for fluid viscous dampers, in order to tune the optimal parameters of fluid viscous dampers to the vicinity of the exact values, analytical formulae which can include structural damping are developed based on the perturbation method. The proposed formulae can also be considered as an improvement of the previous analytical formulae, especially for bridge beams with large structural damping. Finally, a new combination of magnetorheological dampers and a double-beam system to improve the performance of the primary structure vibration is proposed. An algorithm to control magnetorheological dampers in this system is developed by using standard linear matrix inequality techniques. Weight functions as a loop shaping procedure are also introduced in the feedback controllers to improve the tracking ability of magnetorheological damping forces. To this end, the effectiveness of magnetorheological dampers controlled by the proposed scheme, along with the effects of the uncertain and time-delay parameters on the models, are evaluated through numerical simulations. Additionally, a comparison of the dampers based on their performance is also considered in this work.}, subject = {High-speed railway bridge}, language = {en} } @article{Zhang, author = {Zhang, Yongzheng}, title = {Nonlocal dynamic Kirchhoff plate formulation based on nonlocal operator method}, series = {Engineering with Computers}, volume = {2022}, journal = {Engineering with Computers}, publisher = {Springer}, address = {London}, doi = {10.1007/s00366-021-01587-1}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220209-45849}, pages = {1 -- 35}, abstract = {In this study, we propose a nonlocal operator method (NOM) for the dynamic analysis of (thin) Kirchhoff plates. The nonlocal Hessian operator is derived based on a second-order Taylor series expansion. The NOM does not require any shape functions and associated derivatives as 'classical' approaches such as FEM, drastically facilitating the implementation. Furthermore, NOM is higher order continuous, which is exploited for thin plate analysis that requires C1 continuity. The nonlocal dynamic governing formulation and operator energy functional for Kirchhoff plates are derived from a variational principle. The Verlet-velocity algorithm is used for the time discretization. After confirming the accuracy of the nonlocal Hessian operator, several numerical examples are simulated by the nonlocal dynamic Kirchhoff plate formulation.}, subject = {Angewandte Mathematik}, language = {en} } @phdthesis{Zhang, author = {Zhang, Yongzheng}, title = {A Nonlocal Operator Method for Quasi-static and Dynamic Fracture Modeling}, doi = {10.25643/bauhaus-universitaet.4732}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20221026-47321}, school = {Bauhaus-Universit{\"a}t Weimar}, abstract = {Material failure can be tackled by so-called nonlocal models, which introduce an intrinsic length scale into the formulation and, in the case of material failure, restore the well-posedness of the underlying boundary value problem or initial boundary value problem. Among nonlocal models, peridynamics (PD) has attracted a lot of attention as it allows the natural transition from continuum to discontinue and thus allows modeling of discrete cracks without the need to describe and track the crack topology, which has been a major obstacle in traditional discrete crack approaches. This is achieved by replacing the divergence of the Cauchy stress tensor through an integral over so-called bond forces, which account for the interaction of particles. A quasi-continuum approach is then used to calibrate the material parameters of the bond forces, i.e., equating the PD energy with the energy of a continuum. One major issue for the application of PD to general complex problems is that they are limited to fairly simple material behavior and pure mechanical problems based on explicit time integration. PD has been extended to other applications but losing simultaneously its simplicity and ease in modeling material failure. Furthermore, conventional PD suffers from instability and hourglass modes that require stabilization. It also requires the use of constant horizon sizes, which drastically reduces its computational efficiency. The latter issue was resolved by the so-called dual-horizon peridynamics (DH-PD) formulation and the introduction of the duality of horizons. Within the nonlocal operator method (NOM), the concept of nonlocality is further extended and can be considered a generalization of DH-PD. Combined with the energy functionals of various physical models, the nonlocal forms based on the dual-support concept can be derived. In addition, the variation of the energy functional allows implicit formulations of the nonlocal theory. While traditional integral equations are formulated in an integral domain, the dual-support approaches are based on dual integral domains. One prominent feature of NOM is its compatibility with variational and weighted residual methods. The NOM yields a direct numerical implementation based on the weighted residual method for many physical problems without the need for shape functions. Only the definition of the energy or boundary value problem is needed to drastically facilitate the implementation. The nonlocal operator plays an equivalent role to the derivatives of the shape functions in meshless methods and finite element methods (FEM). Based on the variational principle, the residual and the tangent stiffness matrix can be obtained with ease by a series of matrix multiplications. In addition, NOM can be used to derive many nonlocal models in strong form. The principal contributions of this dissertation are the implementation and application of NOM, and also the development of approaches for dealing with fractures within the NOM, mostly for dynamic fractures. The primary coverage and results of the dissertation are as follows: -The first/higher-order implicit NOM and explicit NOM, including a detailed description of the implementation, are presented. The NOM is based on so-called support, dual-support, nonlocal operators, and an operate energy functional ensuring stability. The nonlocal operator is a generalization of the conventional differential operators. Combining with the method of weighted residuals and variational principles, NOM establishes the residual and tangent stiffness matrix of operate energy functional through some simple matrix without the need of shape functions as in other classical computational methods such as FEM. NOM only requires the definition of the energy drastically simplifying its implementation. For the sake of conciseness, the implementation in this chapter is focused on linear elastic solids only, though the NOM can handle more complex nonlinear problems. An explicit nonlocal operator method for the dynamic analysis of elasticity solid problems is also presented. The explicit NOM avoids the calculation of the tangent stiffness matrix as in the implicit NOM model. The explicit scheme comprises the Verlet-velocity algorithm. The NOM can be very flexible and efficient for solving partial differential equations (PDEs). It's also quite easy for readers to use the NOM and extend it to solve other complicated physical phenomena described by one or a set of PDEs. Several numerical examples are presented to show the capabilities of this method. -A nonlocal operator method for the dynamic analysis of (thin) Kirchhoff plates is proposed. The nonlocal Hessian operator is derived from a second-order Taylor series expansion. NOM is higher-order continuous, which is exploited for thin plate analysis that requires \$C^1\$ continuity. The nonlocal dynamic governing formulation and operator energy functional for Kirchhoff plates are derived from a variational principle. The Verlet-velocity algorithm is used for time discretization. After confirming the accuracy of the nonlocal Hessian operator, several numerical examples are simulated by the nonlocal dynamic Kirchhoff plate formulation. -A nonlocal fracture modeling is developed and applied to the simulation of quasi-static and dynamic fractures using the NOM. The phase field's nonlocal weak and associated strong forms are derived from a variational principle. The NOM requires only the definition of energy. We present both a nonlocal implicit phase field model and a nonlocal explicit phase field model for fracture; the first approach is better suited for quasi-static fracture problems, while the key application of the latter one is dynamic fracture. To demonstrate the performance of the underlying approach, several benchmark examples for quasi-static and dynamic fracture are solved.}, subject = {Variationsprinzip}, language = {en} } @article{RabczukGuoZhuangetal., author = {Rabczuk, Timon and Guo, Hongwei and Zhuang, Xiaoying and Chen, Pengwan and Alajlan, Naif}, title = {Stochastic deep collocation method based on neural architecture search and transfer learning for heterogeneous porous media}, series = {Engineering with Computers}, volume = {2022}, journal = {Engineering with Computers}, publisher = {Springer}, address = {London}, doi = {10.1007/s00366-021-01586-2}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220209-45835}, pages = {1 -- 26}, abstract = {We present a stochastic deep collocation method (DCM) based on neural architecture search (NAS) and transfer learning for heterogeneous porous media. We first carry out a sensitivity analysis to determine the key hyper-parameters of the network to reduce the search space and subsequently employ hyper-parameter optimization to finally obtain the parameter values. The presented NAS based DCM also saves the weights and biases of the most favorable architectures, which is then used in the fine-tuning process. We also employ transfer learning techniques to drastically reduce the computational cost. The presented DCM is then applied to the stochastic analysis of heterogeneous porous material. Therefore, a three dimensional stochastic flow model is built providing a benchmark to the simulation of groundwater flow in highly heterogeneous aquifers. The performance of the presented NAS based DCM is verified in different dimensions using the method of manufactured solutions. We show that it significantly outperforms finite difference methods in both accuracy and computational cost.}, subject = {Maschinelles Lernen}, language = {en} } @article{KapsSchuchStaeblein, author = {Kaps, Christian and Schuch, Kai and St{\"a}blein, Stefan}, title = {Silicate coatings for concrete components with waterglass systems by means of neutral salt initiation}, doi = {10.25643/bauhaus-universitaet.2588}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20160601-25888}, pages = {1 -- 14}, abstract = {The objective of the investigations was the proof of the use of the neutral salt initiation as a construction material in the protecting silicate coating of concrete components, e.g. factory finished parts or reinforced concrete construction parts, by means of waterglass fused silica suspensions}, subject = {Silicate}, language = {en} } @phdthesis{Abeltshauser, author = {Abeltshauser, Rainer}, title = {Identification and separation of physical effects of coupled systems by using defined model abstractions}, doi = {10.25643/bauhaus-universitaet.2860}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28600}, school = {Bauhaus-Universit{\"a}t Weimar}, abstract = {The thesis investigates at the computer aided simulation process for operational vibration analysis of complex coupled systems. As part of the internal methods project "Absolute Values" of the BMW Group, the thesis deals with the analysis of the structural dynamic interactions and excitation interactions. The overarching aim of the methods project is to predict the operational vibrations of engines. Simulations are usually used to analyze technical aspects (e. g. operational vibrations, strength, ...) of single components in the industrial development. The boundary conditions of submodels are mostly based on experiences. So the interactions with neighboring components and systems are neglected. To get physically more realistic results but still efficient simulations, this work wants to support the engineer during the preprocessing phase by useful criteria. At first suitable abstraction levels based on the existing literature are defined to identify structural dynamic interactions and excitation interactions of coupled systems. So it is possible to separate different effects of the coupled subsystems. On this basis, criteria are derived to assess the influence of interactions between the considered systems. These criteria can be used during the preprocessing phase and help the engineer to build up efficient models with respect to the interactions with neighboring systems. The method was developed by using several models with different complexity levels. Furthermore, the method is proved for the application in the industrial environment by using the example of a current combustion engine.}, subject = {Strukturdynamik}, language = {en} } @article{Lahmer, author = {Lahmer, Tom}, title = {FEM-Based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials}, series = {IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control}, journal = {IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control}, doi = {10.25643/bauhaus-universitaet.3608}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20171030-36083}, abstract = {We propose an enhanced iterative scheme for the precise reconstruction of piezoelectric material parameters from electric impedance and mechanical displacement measurements. It is based on finite-element simulations of the full three-dimensional piezoelectric equations, combined with an inexact Newton or nonlinear Landweber iterative inversion scheme. We apply our method to two piezoelectric materials and test its performance. For the first material, the manufacturer provides a full data set; for the second one, no material data set is available. For both cases, our inverse scheme, using electric impedance measurements as input data, performs well.}, subject = {Finite-Elemente-Methode}, language = {en} } @phdthesis{Schrader, author = {Schrader, Kai}, title = {Hybrid 3D simulation methods for the damage analysis of multiphase composites}, doi = {10.25643/bauhaus-universitaet.2059}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20131021-20595}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {174}, abstract = {Modern digital material approaches for the visualization and simulation of heterogeneous materials allow to investigate the behavior of complex multiphase materials with their physical nonlinear material response at various scales. However, these computational techniques require extensive hardware resources with respect to computing power and main memory to solve numerically large-scale discretized models in 3D. Due to a very high number of degrees of freedom, which may rapidly be increased to the two-digit million range, the limited hardware ressources are to be utilized in a most efficient way to enable an execution of the numerical algorithms in minimal computation time. Hence, in the field of computational mechanics, various methods and algorithms can lead to an optimized runtime behavior of nonlinear simulation models, where several approaches are proposed and investigated in this thesis. Today, the numerical simulation of damage effects in heterogeneous materials is performed by the adaption of multiscale methods. A consistent modeling in the three-dimensional space with an appropriate discretization resolution on each scale (based on a hierarchical or concurrent multiscale model), however, still contains computational challenges in respect to the convergence behavior, the scale transition or the solver performance of the weak coupled problems. The computational efficiency and the distribution among available hardware resources (often based on a parallel hardware architecture) can significantly be improved. In the past years, high-performance computing (HPC) and graphics processing unit (GPU) based computation techniques were established for the investigationof scientific objectives. Their application results in the modification of existing and the development of new computational methods for the numerical implementation, which enables to take advantage of massively clustered computer hardware resources. In the field of numerical simulation in material science, e.g. within the investigation of damage effects in multiphase composites, the suitability of such models is often restricted by the number of degrees of freedom (d.o.f.s) in the three-dimensional spatial discretization. This proves to be difficult for the type of implementation method used for the nonlinear simulation procedure and, simultaneously has a great influence on memory demand and computational time. In this thesis, a hybrid discretization technique has been developed for the three-dimensional discretization of a three-phase material, which is respecting the numerical efficiency of nonlinear (damage) simulations of these materials. The increase of the computational efficiency is enabled by the improved scalability of the numerical algorithms. Consequently, substructuring methods for partitioning the hybrid mesh were implemented, tested and adapted to the HPC computing framework using several hundred CPU (central processing units) nodes for building the finite element assembly. A memory-efficient iterative and parallelized equation solver combined with a special preconditioning technique for solving the underlying equation system was modified and adapted to enable combined CPU and GPU based computations. Hence, it is recommended by the author to apply the substructuring method for hybrid meshes, which respects different material phases and their mechanical behavior and which enables to split the structure in elastic and inelastic parts. However, the consideration of the nonlinear material behavior, specified for the corresponding phase, is limited to the inelastic domains only, and by that causes a decreased computing time for the nonlinear procedure. Due to the high numerical effort for such simulations, an alternative approach for the nonlinear finite element analysis, based on the sequential linear analysis, was implemented in respect to scalable HPC. The incremental-iterative procedure in finite element analysis (FEA) during the nonlinear step was then replaced by a sequence of linear FE analysis when damage in critical regions occured, known in literature as saw-tooth approach. As a result, qualitative (smeared) crack initiation in 3D multiphase specimens has efficiently been simulated.}, subject = {high-performance computing}, language = {en} } @phdthesis{Nouri, author = {Nouri, Hamidreza}, title = {Mechanical Behavior of two dimensional sheets and polymer compounds based on molecular dynamics and continuum mechanics approach}, doi = {10.25643/bauhaus-universitaet.4670}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220713-46700}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {152}, abstract = {Compactly, this thesis encompasses two major parts to examine mechanical responses of polymer compounds and two dimensional materials: 1- Molecular dynamics approach is investigated to study transverse impact behavior of polymers, polymer compounds and two dimensional materials. 2- Large deflection of circular and rectangular membranes is examined by employing continuum mechanics approach. Two dimensional materials (2D), including, Graphene and molybdenum disulfide (MoS2), exhibited new and promising physical and chemical properties, opening new opportunities to be utilized alone or to enhance the performance of conventional materials. These 2D materials have attracted tremendous attention owing to their outstanding physical properties, especially concerning transverse impact loading. Polymers, with the backbone of carbon (organic polymers) or do not include carbon atoms in the backbone (inorganic polymers) like polydimethylsiloxane (PDMS), have extraordinary characteristics particularly their flexibility leads to various easy ways of forming and casting. These simple shape processing label polymers as an excellent material often used as a matrix in composites (polymer compounds). In this PhD work, Classical Molecular Dynamics (MD) is implemented to calculate transverse impact loading of 2D materials as well as polymer compounds reinforced with graphene sheets. In particular, MD was adopted to investigate perforation of the target and impact resistance force . By employing MD approach, the minimum velocity of the projectile that could create perforation and passes through the target is obtained. The largest investigation was focused on how graphene could enhance the impact properties of the compound. Also the purpose of this work was to discover the effect of the atomic arrangement of 2D materials on the impact problem. To this aim, the impact properties of two different 2D materials, graphene and MoS2, are studied. The simulation of chemical functionalization was carried out systematically, either with covalently bonded molecules or with non-bonded ones, focusing the following efforts on the covalently bounded species, revealed as the most efficient linkers. To study transverse impact behavior by using classical MD approach , Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS) software, that is well-known among most researchers, is employed. The simulation is done through predefined commands in LAMMPS. Generally these commands (atom style, pair style, angle style, dihedral style, improper style, kspace style, read data, fix, run, compute and so on) are used to simulate and run the model for the desired outputs. Depends on the particles and model types, suitable inter-atomic potentials (force fields) are considered. The ensembles, constraints and boundary conditions are applied depends upon the problem definition. To do so, atomic creation is needed. Python codes are developed to generate particles which explain atomic arrangement of each model. Each atomic arrangement introduced separately to LAMMPS for simulation. After applying constraints and boundary conditions, LAMMPS also include integrators like velocity-Verlet integrator or Brownian dynamics or other types of integrator to run the simulation and finally the outputs are emerged. The outputs are inspected carefully to appreciate the natural behavior of the problem. Appreciation of natural properties of the materials assist us to design new applicable materials. In investigation on the large deflection of circular and rectangular membranes, which is related to the second part of this thesis, continuum mechanics approach is implemented. Nonlinear F{\"o}ppl membrane theory, which carefully release nonlinear governing equations of motion, is considered to establish the non-linear partial differential equilibrium equations of the membranes under distributed and centric point loads. The Galerkin and energy methods are utilized to solve non-linear partial differential equilibrium equations of circular and rectangular plates respectively. Maximum deflection as well as stress through the film region, which are kinds of issue in many industrial applications, are obtained.}, subject = {Molekulardynamik}, language = {en} } @phdthesis{Jenabidehkordi, author = {Jenabidehkordi, Ali}, title = {An Efficient Adaptive PD Formulation for Complex Microstructures}, doi = {10.25643/bauhaus-universitaet.4742}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20221124-47422}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {118}, abstract = {The computational costs of newly developed numerical simulation play a critical role in their acceptance within both academic use and industrial employment. Normally, the refinement of a method in the area of interest reduces the computational cost. This is unfortunately not true for most nonlocal simulation, since refinement typically increases the size of the material point neighborhood. Reducing the discretization size while keep- ing the neighborhood size will often require extra consideration. Peridy- namic (PD) is a newly developed numerical method with nonlocal nature. Its straightforward integral form equation of motion allows simulating dy- namic problems without any extra consideration required. The formation of crack and its propagation is known as natural to peridynamic. This means that discontinuity is a result of the simulation and does not demand any post-processing. As with other nonlocal methods, PD is considered an expensive method. The refinement of the nodal spacing while keeping the neighborhood size (i.e., horizon radius) constant, emerges to several nonphysical phenomena. This research aims to reduce the peridynamic computational and imple- mentation costs. A novel refinement approach is introduced. The pro- posed approach takes advantage of the PD flexibility in choosing the shape of the horizon by introducing multiple domains (with no intersections) to the nodes of the refinement zone. It will be shown that no ghost forces will be created when changing the horizon sizes in both subdomains. The approach is applied to both bond-based and state-based peridynamic and verified for a simple wave propagation refinement problem illustrating the efficiency of the method. Further development of the method for higher dimensions proves to have a direct relationship with the mesh sensitivity of the PD. A method for solving the mesh sensitivity of the PD is intro- duced. The application of the method will be examined by solving a crack propagation problem similar to those reported in the literature. New software architecture is proposed considering both academic and in- dustrial use. The available simulation tools for employing PD will be collected, and their advantages and drawbacks will be addressed. The challenges of implementing any node base nonlocal methods while max- imizing the software flexibility to further development and modification will be discussed and addressed. A software named Relation-Based Sim- ulator (RBS) is developed for examining the proposed architecture. The exceptional capabilities of RBS will be explored by simulating three dis- tinguished models. RBS is available publicly and open to further develop- ment. The industrial acceptance of the RBS will be tested by targeting its performance on one Mac and two Linux distributions.}, subject = {Peridynamik}, language = {en} } @phdthesis{Vogler, author = {Vogler, Verena}, title = {A framework for artificial coral reef design: Integrating computational modelling and high precision monitoring strategies for artificial coral reefs - an Ecosystem-aware design approach in times of climate change}, isbn = {978-3-00-074495-2}, doi = {10.25643/bauhaus-universitaet.4611}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220322-46115}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {243}, abstract = {Tropical coral reefs, one of the world's oldest ecosystems which support some of the highest levels of biodiversity on the planet, are currently facing an unprecedented ecological crisis during this massive human-activity-induced period of extinction. Hence, tropical reefs symbolically stand for the destructive effects of human activities on nature [4], [5]. Artificial reefs are excellent examples of how architectural design can be combined with ecosystem regeneration [6], [7], [8]. However, to work at the interface between the artificial and the complex and temporal nature of natural systems presents a challenge, i.a. in respect to the B-rep modelling legacy of computational modelling. The presented doctorate investigates strategies on how to apply digital practice to realise what is an essential bulwark to retain reefs in impossibly challenging times. Beyond the main question of integrating computational modelling and high precision monitoring strategies in artificial coral reef design, this doctorate explores techniques, methods, and linking frameworks to support future research and practice in ecology led design contexts. Considering the many existing approaches for artificial coral reefs design, one finds they often fall short in precisely understanding the relationships between architectural and ecological aspects (e.g. how a surface design and material composition can foster coral larvae settlement, or structural three-dimensionality enhance biodiversity) and lack an integrated underwater (UW) monitoring process. Such a process is necessary in order to gather knowledge about the ecosystem and make it available for design, and to learn whether artificial structures contribute to reef regeneration or rather harm the coral reef ecosystem. For the research, empirical experimental methods were applied: Algorithmic coral reef design, high precision UW monitoring, computational modelling and simulation, and validated through parallel real-world physical experimentation - two Artificial Reef Prototypes (ARPs) in Gili Trawangan, Indonesia (2012-today). Multiple discrete methods and sub techniques were developed in seventeen computational experiments and applied in a way in which many are cross valid and integrated in an overall framework that is offered as a significant contribution to the field. Other main contributions include the Ecosystem-aware design approach, Key Performance Indicators (KPIs) for coral reef design, algorithmic design and fabrication of Biorock cathodes, new high precision UW monitoring strategies, long-term real-world constructed experiments, new digital analysis methods and two new front-end web-based tools for reef design and monitoring reefs. The methodological framework is a finding of the research that has many technical components that were tested and combined in this way for the very first time. In summary, the thesis responds to the urgency and relevance in preserving marine species in tropical reefs during this massive extinction period by offering a differentiated approach towards artificial coral reefs - demonstrating the feasibility of digitally designing such 'living architecture' according to multiple context and performance parameters. It also provides an in-depth critical discussion of computational design and architecture in the context of ecosystem regeneration and Planetary Thinking. In that respect, the thesis functions as both theoretical and practical background for computational design, ecology and marine conservation - not only to foster the design of artificial coral reefs technically but also to provide essential criteria and techniques for conceiving them. Keywords: Artificial coral reefs, computational modelling, high precision underwater monitoring, ecology in design.}, subject = {Korallenriff}, language = {en} } @phdthesis{Staeudel, author = {St{\"a}udel, J{\"u}rgen}, title = {Development, Implementation and Operation of Integrated Sanitation Systems Based on Material-Flows - Integrated Sanitation in the City of Darkhan, Mongolia - A Practicable Example}, doi = {10.25643/bauhaus-universitaet.3179}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170512-31794}, school = {Bauhaus-Universit{\"a}t Weimar}, abstract = {The world society faces a huge challenge to implement the human right of "access to sanitation". More and more it is accepted that the conventional approach towards providing sanitation services is not suitable to solve this problem. This dissertation examines the possibility to enhance "access to sanitation" for people who are living in areas with underdeveloped water and wastewater infrastructure systems. The idea hereby is to follow an integrated approach for sanitation, which allows for a mutual completion of existing infrastructure with resource-based sanitation systems. The notion "integrated sanitation system (iSaS)" is defined in this work and guiding principles for iSaS are formulated. Further on the implementation of iSaS is assessed at the example of a case study in the city of Darkhan in Mongolia. More than half of Mongolia's population live in settlements where yurts (tents of Nomadic people) are predominant. In these settlements (or "ger areas") sanitation systems are not existent and the hygienic situation is precarious. An iSaS has been developed for the ger areas in Darkhan and tested over more than two years. Further on a software-based model has been developed with the goal to describe and assess different variations of the iSaS. The results of the assessment of material-flows, monetary-flows and communication-flows within the iSaS are presented in this dissertation. The iSaS model is adaptable and transferable to the socio-economic conditions in other regions and climate zones.}, subject = {Abwasser}, language = {en} } @phdthesis{Amiri, author = {Amiri, Fatemeh}, title = {Computational modelling of fracture with local maximum entropy approximations}, doi = {10.25643/bauhaus-universitaet.2631}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20160719-26310}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {130}, abstract = {The key objective of this research is to study fracture with a meshfree method, local maximum entropy approximations, and model fracture in thin shell structures with complex geometry and topology. This topic is of high relevance for real-world applications, for example in the automotive industry and in aerospace engineering. The shell structure can be described efficiently by meshless methods which are capable of describing complex shapes as a collection of points instead of a structured mesh. In order to find the appropriate numerical method to achieve this goal, the first part of the work was development of a method based on local maximum entropy (LME) shape functions together with enrichment functions used in partition of unity methods to discretize problems in linear elastic fracture mechanics. We obtain improved accuracy relative to the standard extended finite element method (XFEM) at a comparable computational cost. In addition, we keep the advantages of the LME shape functions,such as smoothness and non-negativity. We show numerically that optimal convergence (same as in FEM) for energy norm and stress intensity factors can be obtained through the use of geometric (fixed area) enrichment with no special treatment of the nodes near the crack such as blending or shifting. As extension of this method to three dimensional problems and complex thin shell structures with arbitrary crack growth is cumbersome, we developed a phase field model for fracture using LME. Phase field models provide a powerful tool to tackle moving interface problems, and have been extensively used in physics and materials science. Phase methods are gaining popularity in a wide set of applications in applied science and engineering, recently a second order phase field approximation for brittle fracture has gathered significant interest in computational fracture such that sharp cracks discontinuities are modeled by a diffusive crack. By minimizing the system energy with respect to the mechanical displacements and the phase-field, subject to an irreversibility condition to avoid crack healing, this model can describe crack nucleation, propagation, branching and merging. One of the main advantages of the phase field modeling of fractures is the unified treatment of the interfacial tracking and mechanics, which potentially leads to simple, robust, scalable computer codes applicable to complex systems. In other words, this approximation reduces considerably the implementation complexity because the numerical tracking of the fracture is not needed, at the expense of a high computational cost. We present a fourth-order phase field model for fracture based on local maximum entropy (LME) approximations. The higher order continuity of the meshfree LME approximation allows to directly solve the fourth-order phase field equations without splitting the fourth-order differential equation into two second order differential equations. Notably, in contrast to previous discretizations that use at least a quadratic basis, only linear completeness is needed in the LME approximation. We show that the crack surface can be captured more accurately in the fourth-order model than the second-order model. Furthermore, less nodes are needed for the fourth-order model to resolve the crack path. Finally, we demonstrate the performance of the proposed meshfree fourth order phase-field formulation for 5 representative numerical examples. Computational results will be compared to analytical solutions within linear elastic fracture mechanics and experimental data for three-dimensional crack propagation. In the last part of this research, we present a phase-field model for fracture in Kirchoff-Love thin shells using the local maximum-entropy (LME) meshfree method. Since the crack is a natural outcome of the analysis it does not require an explicit representation and tracking, which is advantageous over techniques as the extended finite element method that requires tracking of the crack paths. The geometric description of the shell is based on statistical learning techniques that allow dealing with general point set surfaces avoiding a global parametrization, which can be applied to tackle surfaces of complex geometry and topology. We show the flexibility and robustness of the present methodology for two examples: plate in tension and a set of open connected pipes.}, language = {en} } @phdthesis{Nanthakumar, author = {Nanthakumar, S.S.}, title = {Inverse and optimization problems in piezoelectric materials using Extended Finite Element Method and Level sets}, doi = {10.25643/bauhaus-universitaet.2709}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20161128-27095}, school = {Bauhaus-Universit{\"a}t Weimar}, abstract = {Piezoelectric materials are used in several applications as sensors and actuators where they experience high stress and electric field concentrations as a result of which they may fail due to fracture. Though there are many analytical and experimental works on piezoelectric fracture mechanics. There are very few studies about damage detection, which is an interesting way to prevent the failure of these ceramics. An iterative method to treat the inverse problem of detecting cracks and voids in piezoelectric structures is proposed. Extended finite element method (XFEM) is employed for solving the inverse problem as it allows the use of a single regular mesh for large number of iterations with different flaw geometries. Firstly, minimization of cost function is performed by Multilevel Coordinate Search (MCS) method. The XFEM-MCS methodology is applied to two dimensional electromechanical problems where flaws considered are straight cracks and elliptical voids. Then a numerical method based on combination of classical shape derivative and level set method for front propagation used in structural optimization is utilized to minimize the cost function. The results obtained show that the XFEM-level set methodology is effectively able to determine the number of voids in a piezoelectric structure and its corresponding locations. The XFEM-level set methodology is improved to solve the inverse problem of detecting inclusion interfaces in a piezoelectric structure. The material interfaces are implicitly represented by level sets which are identified by applying regularisation using total variation penalty terms. The formulation is presented for three dimensional structures and inclusions made of different materials are detected by using multiple level sets. The results obtained prove that the iterative procedure proposed can determine the location and approximate shape of material subdomains in the presence of higher noise levels. Piezoelectric nanostructures exhibit size dependent properties because of surface elasticity and surface piezoelectricity. Initially a study to understand the influence of surface elasticity on optimization of nano elastic beams is performed. The boundary of the nano structure is implicitly represented by a level set function, which is considered as the design variable in the optimization process. Two objective functions, minimizing the total potential energy of a nanostructure subjected to a material volume constraint and minimizing the least square error compared to a target displacement, are chosen for the numerical examples. The numerical examples demonstrate the importance of size and aspect ratio in determining how surface effects impact the optimized topology of nanobeams. Finally a conventional cantilever energy harvester with a piezoelectric nano layer is analysed. The presence of surface piezoelectricity in nano beams and nano plates leads to increase in electromechanical coupling coefficient. Topology optimization of these piezoelectric structures in an energy harvesting device to further increase energy conversion using appropriately modified XFEM-level set algorithm is performed .}, subject = {Finite-Elemente-Methode}, language = {de} } @phdthesis{Ehrhardt, author = {Ehrhardt, Dirk}, title = {ZUM EINFLUSS DER NACHBEHANDLUNG AUF DIE GEF{\"U}GEAUSBILDUNG UND DEN FROST-TAUMITTELWIDERSTAND DER BETONRANDZONE}, doi = {10.25643/bauhaus-universitaet.3688}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20171120-36889}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {235}, abstract = {Die Festigkeitsentwicklung des Zementbetons basiert auf der chemischen Reaktion des Zementes mit dem Anmachwasser. Durch Nachbehandlungsmaßnahmen muss daf{\"u}r gesorgt werden, dass dem Zement gen{\"u}gend Wasser f{\"u}r seine Reaktion zur Verf{\"u}gung steht, da sonst ein Beton mit minderer Qualit{\"a}t entsteht. Die vorliegende Arbeit behandelt die grunds{\"a}tzlichen Fragen der Betonnachbehandlung bei Anwendung von Straßenbetonen. Im Speziellen wird die Frage des erforderlichen Nachbehandlungsbedarfs von h{\"u}ttensandhaltigen Kompositzementen betrachtet. Die Wirkung der Nachbehandlung wird anhand des erreichten Frost-Tausalz-Widerstandes und der Gef{\"u}geausbildung in der unmittelbaren Betonrandzone bewertet. Der Fokus der Untersuchungen lag auf abgezogenen Betonoberfl{\"a}chen. Es wurde ein Modell zur Austrocknung des jungen Betons erarbeitet. Es konnte gezeigt werden, dass in einer fr{\"u}hen Austrocknung (Kapillarphase) keine kritische Austrocknung der Betonrandzone einsetzt, sondern der Beton ann{\"a}hrend gleichm{\"a}ßig {\"u}ber die H{\"o}he austrocknet. Es wurde ein Nomogramm entwickelt, mit dem die Dauer der Kapillarphase in Abh{\"a}ngigkeit der Witterung f{\"u}r Straßenbetone abgesch{\"a}tzt werden kann. Eine kritische Austrocknung der wichtigen Randzone setzt nach Ende der Kapillarphase ein. F{\"u}r Betone unter Verwendung von Zementen mit langsamer Festigkeitsentwicklung ist die Austrocknung der Randzone nach Ende der Kapillarphase besonders ausgepr{\"a}gt. Im Ergebnis zeigen diese Betone dann einen geringen Frost-Tausalz-Widerstand. Mit Zementen, die eine 2d-Zementdruckfestigkeit ≥ 23,0 N/mm² aufweisen, wurde unabh{\"a}ngig von der Zementart (CEM I oder CEM II/B-S) auch dann ein hoher Frost-Tausalz-Widerstand erreicht, wenn keine oder eine schlechtere Nachbehandlung angewendet wurde. F{\"u}r die Praxis ergibt sich damit eine einfache M{\"o}glichkeit der Vorauswahl von geeigneten Zementen f{\"u}r den Verkehrsfl{\"a}chenbau. Betone, die unter Verwendung von Zementen mit langsamere Festigkeitsentwicklung hergestellt werden, erreichen einen hohen Frost-Tausalz-Widerstand nur mit einer geeigneten Nachbehandlung. Die Anwendung von fl{\"u}ssigen Nachbehandlungsmitteln (NBM gem{\"a}ß TL NBM-StB) erreicht eine {\"a}hnliche Wirksamkeit wie eine 5 t{\"a}gige Feuchtnachbehandlung. Voraussetzung f{\"u}r die Wirksamkeit der NBM ist, dass sie auf eine Betonoberfl{\"a}che ohne sichtbaren Feuchtigkeitsfilm (feuchter Glanz) aufgespr{\"u}ht werden. Besonders wichtig ist die Beachtung des richtigen Auftragszeitpunktes bei k{\"u}hler Witterung, da hier aufgrund der verlangsamten Zementreaktion der Beton l{\"a}nger Anmachwasser abst{\"o}ßt. Ein zu fr{\"u}her Auftrag des Nachbehandlungsmittels f{\"u}hrt zu einer Verschlechterung der Qualit{\"a}t der Betonrandzone. Durch Bereitstellung hydratationsabh{\"a}ngiger Transportkenngr{\"o}ßen (Feuchtetransport im Beton) konnten numerische Berechnungen zum Zusammenspiel zwischen der Austrocknung, der Nachbehandlung und der Gef{\"u}geentwicklung durchgef{\"u}hrt werden. Mit dem erstellten Berechnungsmodell wurden Parameterstudien durchgef{\"u}hrt. Die Berechnungen best{\"a}tigen die wesentlichen Erkenntnisse der Laboruntersuchungen. Dar{\"u}ber hinaus l{\"a}sst sich mit dem Berechnungsmodell zeigen, dass gerade bei langsam reagierenden Zementen und k{\"u}hler Witterung ohne eine Nachbehandlung eine sehr d{\"u}nne Randzone (ca. 500 µm - 1000 µm) mit stark erh{\"o}hter Kapillarporosit{\"a}t entsteht.}, subject = {Beton}, language = {de} } @masterthesis{Krtschil, type = {Bachelor Thesis}, author = {Krtschil, Anna}, title = {Vergleich verschiedener Indikatoren in Bezug auf die {\"O}kobilanz von Geb{\"a}uden}, doi = {10.25643/bauhaus-universitaet.2434}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20150716-24340}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {73}, abstract = {Im Rahmen der Bachelorarbeit werden zwei Indikatoren zur Auswertung einer {\"O}kobilanz gegen{\"u}bergestellt. Die Umweltbelastungspunkte der Schweiz werden mit dem niederl{\"a}ndischen ReCiPe verglichen.}, subject = {Umweltbilanz}, language = {de} } @phdthesis{Hommel, author = {Hommel, Angela}, title = {Diskret holomorphe Funktionen und deren Bedeutung bei der L{\"o}sung von Differenzengleichungen}, doi = {10.25643/bauhaus-universitaet.3784}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20180827-37846}, school = {Bauhaus-Universit{\"a}t Weimar}, abstract = {Auf der Grundlage diskreter Cauchy-Riemann Operatoren werden diskret holomorphe Funktionen definiert und detailliert studiert. Darauf aufbauend wird die L{\"o}sung von Differenzengleichungen mit Hilfe der diskret holomorphen Funktionen beschrieben.}, subject = {Differenzengleichung}, language = {de} } @phdthesis{Legatiuk, author = {Legatiuk, Anastasiia}, title = {Discrete potential and function theories on a rectangular lattice and their applications}, doi = {10.25643/bauhaus-universitaet.4865}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20221220-48654}, school = {Bauhaus-Universit{\"a}t Weimar}, abstract = {The growing complexity of modern engineering problems necessitates development of advanced numerical methods. In particular, methods working directly with discrete structures, and thus, representing exactly some important properties of the solution on a lattice and not just approximating the continuous properties, become more and more popular nowadays. Among others, discrete potential theory and discrete function theory provide a variety of methods, which are discrete counterparts of the classical continuous methods for solving boundary value problems. A lot of results related to the discrete potential and function theories have been presented in recent years. However, these results are related to the discrete theories constructed on square lattices, and, thus, limiting their practical applicability and potentially leading to higher computational costs while discretising realistic domains. This thesis presents an extension of the discrete potential theory and discrete function theory to rectangular lattices. As usual in the discrete theories, construction of discrete operators is strongly influenced by a definition of discrete geometric setting. For providing consistent constructions throughout the whole thesis, a detailed discussion on the discrete geometric setting is presented in the beginning. After that, the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice, which is the core of the discrete potential theory, its numerical analysis, and practical calculations are presented. By using the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice, the discrete potential theory is then constructed for interior and exterior settings. Several discrete interior and exterior boundary value problems are then solved. Moreover, discrete transmission problems are introduced and several numerical examples of these problems are discussed. Finally, a discrete fundamental solution of the discrete Cauchy-Riemann operator on a rectangular lattice is constructed, and basics of the discrete function theory on a rectangular lattice are provided. This work indicates that the discrete theories provide solution methods with very good numerical properties to tackle various boundary value problems, as well as transmission problems coupling interior and exterior problems. The results presented in this thesis provide a basis for further development of discrete theories on irregular lattices.}, subject = {Diskrete Funktionentheorie}, language = {en} } @phdthesis{Tatarin, author = {Tatarin, Ren{\´e}}, title = {Charakterisieren struktureller Ver{\"a}nderungen in zementgebundenen Baustoffen durch akustische zerst{\"o}rungsfreie Pr{\"u}fverfahren}, publisher = {Cuvillier Verlag}, address = {G{\"o}ttingen}, isbn = {978-3-7369-7575-0}, doi = {10.25643/bauhaus-universitaet.4592}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220215-45920}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {293}, abstract = {Im Rahmen dieser Arbeit wird das Charakterisieren struktureller Ver{\"a}nderungen zementgebundener Baustoffe durch zwei auf dem Ultraschall-Transmissionsverfahren beruhenden Methoden der zerst{\"o}rungsfreien Pr{\"u}fung (ZfP) mit mechanischen Wellen vorgenommen. Zur kontinuierlichen Charakterisierung der Erstarrung und Erh{\"a}rtung frischer zementgebundener Systeme wird ein auf Ultraschallsensoren f{\"u}r Longitudinal- und Scherwellen basierendes Messsystem in Kombination mit zugeh{\"o}rigen Verfahrensweisen zur Datenauswertung konzipiert, charakterisiert und angewandt. Gegen{\"u}ber der bislang {\"u}blichen alleinigen Bewertung der Verfestigung anhand indirekter Ultraschallparameter wie Ausbreitungsgeschwindigkeit, Signalenergie oder Frequenzgehalt der Longitudinalwelle l{\"a}sst sich damit eine direkte, sensible Erfassung der sich w{\"a}hrend der Strukturbildung entwickelnden dynamischen elastischen Eigenschaften auf der Basis prim{\"a}rer physikalischer Werkstoffparameter erreichen. Insbesondere Scherwellen und der dynamische Schubmodul sind geeignet, den graduellen {\"U}bergang zum Festk{\"o}rper mit {\"U}berschreiten der Perkolationsschwelle sensibel und unabh{\"a}ngig vom Luftgehalt zu erfassen. Die zeitliche Entwicklung der dynamischen elastischen Eigenschaften, die Strukturbildungsraten sowie die daraus extrahierten diskreten Ergebnisparameter erm{\"o}glichen eine vergleichende quantitative Charakterisierung der Strukturbildung zementgebundener Baustoffe aus mechanischer Sicht. Dabei lassen sich typische, oft unvermeidbare Unterschiede in der Zusammensetzung der Versuchsmischungen ber{\"u}cksichtigen. Der Einsatz laserbasierter Methoden zur Anregung und Erfassung von mechanischen Wellen und deren Kombination zu Laser-Ultraschall zielt darauf ab, die mit der Anwendung des konventionellen Ultraschall-Transmissionsverfahrens verbundenen Nachteile zu eliminieren. Diese resultieren aus der Sensorgeometrie, der mechanischen Ankopplung und bei einer Vielzahl von Oberfl{\"a}chenpunkten aus einem hohen pr{\"u}ftechnischen Aufwand. Die laserbasierte, interferometrische Erfassung mechanischer Wellen ist gegen{\"u}ber Ultraschallsensoren rauschbehaftet und vergleichsweise unsensibel. Als wesentliche Voraussetzung der scannenden Anwendung von Laser-Ultraschall auf zementgebundene Baustoffe erfolgen systematische experimentelle Untersuchungen zur laserinduzierten ablativen Anregung. Diese sollen zum Verst{\"a}ndnis des Anregungsmechanismus unmittelbar auf den Oberfl{\"a}chen von zementgebundenen Baustoffen, Gesteinsk{\"o}rnungen und metallischen Werkstoffen beitragen, relevante Einflussfaktoren aus den charakteristischen Materialeigenschaften identifizieren, geeignete Prozessparameter gewinnen und die Verfahrensgrenzen aufzeigen. Unter Einsatz von Longitudinalwellen erfolgt die Anwendung von Laser-Ultraschall zur zeit- und ortsaufgel{\"o}sten Charakterisierung der Strukturbildung und Homogenit{\"a}t frischer sowie erh{\"a}rteter Proben zementgebundener Baustoffe. W{\"a}hrend der Strukturbildung wird erstmals eine simultane ber{\"u}hrungslose Erfassung von Longitudinal- und Scherwellen vorgenommen. Unter Anwendung von tomographischen Methoden (2D-Laufzeit¬tomo¬graphie) werden {\"u}berlagerungsfreie Informationen zur r{\"a}umlichen Verteilung struktureller Gef{\"u}gever{\"a}nderungen anhand der longitudinalen Ausbreitungsgeschwindigkeit bzw. des relativen dynamischen Elastizit{\"a}tsmoduls innerhalb von virtuellen Schnittebenen gesch{\"a}digter Probek{\"o}rper gewonnen. Als beton-sch{\"a}digende Mechanismen werden exemplarisch der kombinierte Frost-Tausalz-Angriff sowie die Alkali-Kiesels{\"a}ure-Reaktion (AKR) herangezogen. Die im Rahmen dieser Arbeit entwickelten Verfahren der zerst{\"o}rungsfreien Pr{\"u}fung bieten erweiterte M{\"o}glichkeiten zur Charakterisierung zementgebundener Baustoffe und deren strukturellen Ver{\"a}nderungen und lassen sich zielgerichtet in der Werkstoffentwicklung, bei der Qualit{\"a}tssicherung sowie zur Analyse von Schadensprozessen und -ursachen einsetzen.}, subject = {Beton}, language = {de} } @phdthesis{Nguyen, author = {Nguyen, Manh Hung}, title = {µ-Hyperholomorphic Function Theory in R³: Geometric Mapping Properties and Applications}, doi = {10.25643/bauhaus-universitaet.2447}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20150817-24477}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {155}, abstract = {This thesis applies the theory of \psi-hyperholomorphic functions dened in R^3 with values in the set of paravectors, which is identified with the Eucledian space R^3, to tackle some problems in theory and practice: geometric mapping properties, additive decompositions of harmonic functions and applications in the theory of linear elasticity.}, subject = {Mathematik}, language = {en} } @phdthesis{Habtemariam, author = {Habtemariam, Abinet Kifle}, title = {Generalized Beam Theory for the analysis of thin-walled circular pipe members}, doi = {10.25643/bauhaus-universitaet.4572}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220127-45723}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {188}, abstract = {The detailed structural analysis of thin-walled circular pipe members often requires the use of a shell or solid-based finite element method. Although these methods provide a very good approximation of the deformations, they require a higher degree of discretization which causes high computational costs. On the other hand, the analysis of thin-walled circular pipe members based on classical beam theories is easy to implement and needs much less computation time, however, they are limited in their ability to approximate the deformations as they cannot consider the deformation of the cross-section. This dissertation focuses on the study of the Generalized Beam Theory (GBT) which is both accurate and efficient in analyzing thin-walled members. This theory is based on the separation of variables in which the displacement field is expressed as a combination of predetermined deformation modes related to the cross-section, and unknown amplitude functions defined on the beam's longitudinal axis. Although the GBT was initially developed for long straight members, through the consideration of complementary deformation modes, which amend the null transverse and shear membrane strain assumptions of the classical GBT, problems involving short members, pipe bends, and geometrical nonlinearity can also be analyzed using GBT. In this dissertation, the GBT formulation for the analysis of these problems is developed and the application and capabilities of the method are illustrated using several numerical examples. Furthermore, the displacement and stress field results of these examples are verified using an equivalent refined shell-based finite element model. The developed static and dynamic GBT formulations for curved thin-walled circular pipes are based on the linear kinematic description of the curved shell theory. In these formulations, the complex problem in pipe bends due to the strong coupling effect of the longitudinal bending, warping and the cross-sectional ovalization is handled precisely through the derivation of the coupling tensors between the considered GBT deformation modes. Similarly, the geometrically nonlinear GBT analysis is formulated for thin-walled circular pipes based on the nonlinear membrane kinematic equations. Here, the initial linear and quadratic stress and displacement tangent stiffness matrices are built using the third and fourth-order GBT deformation mode coupling tensors. Longitudinally, the formulation of the coupled GBT element stiffness and mass matrices are presented using a beam-based finite element formulation. Furthermore, the formulated GBT elements are tested for shear and membrane locking problems and the limitations of the formulations regarding the membrane locking problem are discussed.}, subject = {Finite-Elemente-Methode}, language = {en} } @article{AlYasiriMutasharGuerlebecketal., author = {Al-Yasiri, Zainab Riyadh Shaker and Mutashar, Hayder Majid and G{\"u}rlebeck, Klaus and Lahmer, Tom}, title = {Damage Sensitive Signals for the Assessment of the Conditions of Wind Turbine Rotor Blades Using Electromagnetic Waves}, series = {Infrastructures}, volume = {2022}, journal = {Infrastructures}, number = {Volume 7, Issue 8 (August 2022), article 104}, editor = {Shafiullah, GM}, publisher = {MDPI}, address = {Basel}, doi = {10.3390/infrastructures7080104}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220831-47093}, pages = {18}, abstract = {One of the most important renewable energy technologies used nowadays are wind power turbines. In this paper, we are interested in identifying the operating status of wind turbines, especially rotor blades, by means of multiphysical models. It is a state-of-the-art technology to test mechanical structures with ultrasonic-based methods. However, due to the density and the required high resolution, the testing is performed with high-frequency waves, which cannot penetrate the structure in depth. Therefore, there is a need to adopt techniques in the fields of multiphysical model-based inversion schemes or data-driven structural health monitoring. Before investing effort in the development of such approaches, further insights and approaches are necessary to make the techniques applicable to structures such as wind power plants (blades). Among the expected developments, further accelerations of the so-called "forward codes" for a more efficient implementation of the wave equation could be envisaged. Here, we employ electromagnetic waves for the early detection of cracks. Because in many practical situations, it is not possible to apply techniques from tomography (characterized by multiple sources and sensor pairs), we focus here on the question of whether the existence of cracks can be determined by using only one source for the sent waves.}, subject = {Windkraftwerk}, language = {en} } @masterthesis{Nguyen, type = {Bachelor Thesis}, author = {Nguyen, Thai Cuong}, title = {Fl{\"a}chen zweiter Ordnung - D{\"a}cher m{\"u}ssen nicht eben sein}, doi = {10.25643/bauhaus-universitaet.3749}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20181024-37496}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {47}, abstract = {In dieser Arbeit geht es um die Quadriken in der Ebene und im Raum. Dabei werden die Transformation in die Normalform und die Klassifikation untersucht. Aus den geometrischen Eigenschaften werden einige Anwendungsbeispiele der Quadriken in der Technik und dem allt{\"a}glichen Leben vorgestellt.}, subject = {Quadrik}, language = {de} } @article{Legatiuk, author = {Legatiuk, Dmitrii}, title = {Mathematical Modelling by Help of Category Theory: Models and Relations between Them}, series = {mathematics}, volume = {2021}, journal = {mathematics}, number = {volume 9, issue 16, article 1946}, publisher = {MDPI}, address = {Basel}, doi = {10.3390/math9161946}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210817-44844}, pages = {17}, abstract = {The growing complexity of modern practical problems puts high demand on mathematical modelling. Given that various models can be used for modelling one physical phenomenon, the role of model comparison and model choice is becoming particularly important. Methods for model comparison and model choice typically used in practical applications nowadays are computationbased, and thus time consuming and computationally costly. Therefore, it is necessary to develop other approaches to working abstractly, i.e., without computations, with mathematical models. An abstract description of mathematical models can be achieved by the help of abstract mathematics, implying formalisation of models and relations between them. In this paper, a category theory-based approach to mathematical modelling is proposed. In this way, mathematical models are formalised in the language of categories, relations between the models are formally defined and several practically relevant properties are introduced on the level of categories. Finally, an illustrative example is presented, underlying how the category-theory based approach can be used in practice. Further, all constructions presented in this paper are also discussed from a modelling point of view by making explicit the link to concrete modelling scenarios.}, subject = {Kategorientheorie}, language = {en} } @article{GhazvineiDarvishiMosavietal., author = {Ghazvinei, Pezhman Taherei and Darvishi, Hossein Hassanpour and Mosavi, Amir and Yusof, Khamaruzaman bin Wan and Alizamir, Meysam and Shamshirband, Shahaboddin and Chau, Kwok-Wing}, title = {Sugarcane growth prediction based on meteorological parameters using extreme learning machine and artificial neural network}, series = {Engineering Applications of Computational Fluid Mechanics}, volume = {2018}, journal = {Engineering Applications of Computational Fluid Mechanics}, number = {12,1}, publisher = {Taylor \& Francis}, doi = {10.1080/19942060.2018.1526119}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20181017-38129}, pages = {738 -- 749}, abstract = {Management strategies for sustainable sugarcane production need to deal with the increasing complexity and variability of the whole sugar system. Moreover, they need to accommodate the multiple goals of different industry sectors and the wider community. Traditional disciplinary approaches are unable to provide integrated management solutions, and an approach based on whole systems analysis is essential to bring about beneficial change to industry and the community. The application of this approach to water management, environmental management and cane supply management is outlined, where the literature indicates that the application of extreme learning machine (ELM) has never been explored in this realm. Consequently, the leading objective of the current research was set to filling this gap by applying ELM to launch swift and accurate model for crop production data-driven. The key learning has been the need for innovation both in the technical aspects of system function underpinned by modelling of sugarcane growth. Therefore, the current study is an attempt to establish an integrate model using ELM to predict the concluding growth amount of sugarcane. Prediction results were evaluated and further compared with artificial neural network (ANN) and genetic programming models. Accuracy of the ELM model is calculated using the statistics indicators of Root Means Square Error (RMSE), Pearson Coefficient (r), and Coefficient of Determination (R2) with promising results of 0.8, 0.47, and 0.89, respectively. The results also show better generalization ability in addition to faster learning curve. Thus, proficiency of the ELM for supplementary work on advancement of prediction model for sugarcane growth was approved with promising results.}, subject = {K{\"u}nstliche Intelligenz}, language = {en} } @article{FaizollahzadehArdabiliNajafiAlizamiretal., author = {Faizollahzadeh Ardabili, Sina and Najafi, Bahman and Alizamir, Meysam and Mosavi, Amir and Shamshirband, Shahaboddin and Rabczuk, Timon}, title = {Using SVM-RSM and ELM-RSM Approaches for Optimizing the Production Process of Methyl and Ethyl Esters}, series = {Energies}, journal = {Energies}, number = {11, 2889}, publisher = {MDPI}, address = {Basel}, doi = {10.3390/en11112889}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20181025-38170}, pages = {1 -- 20}, abstract = {The production of a desired product needs an effective use of the experimental model. The present study proposes an extreme learning machine (ELM) and a support vector machine (SVM) integrated with the response surface methodology (RSM) to solve the complexity in optimization and prediction of the ethyl ester and methyl ester production process. The novel hybrid models of ELM-RSM and ELM-SVM are further used as a case study to estimate the yield of methyl and ethyl esters through a trans-esterification process from waste cooking oil (WCO) based on American Society for Testing and Materials (ASTM) standards. The results of the prediction phase were also compared with artificial neural networks (ANNs) and adaptive neuro-fuzzy inference system (ANFIS), which were recently developed by the second author of this study. Based on the results, an ELM with a correlation coefficient of 0.9815 and 0.9863 for methyl and ethyl esters, respectively, had a high estimation capability compared with that for SVM, ANNs, and ANFIS. Accordingly, the maximum production yield was obtained in the case of using ELM-RSM of 96.86\% for ethyl ester at a temperature of 68.48 °C, a catalyst value of 1.15 wt. \%, mixing intensity of 650.07 rpm, and an alcohol to oil molar ratio (A/O) of 5.77; for methyl ester, the production yield was 98.46\% at a temperature of 67.62 °C, a catalyst value of 1.1 wt. \%, mixing intensity of 709.42 rpm, and an A/O of 6.09. Therefore, ELM-RSM increased the production yield by 3.6\% for ethyl ester and 3.1\% for methyl ester, compared with those for the experimental data.}, subject = {Biodiesel}, language = {en} } @masterthesis{Mueller, type = {Bachelor Thesis}, author = {M{\"u}ller, Naira}, title = {Erweiterung von Fliplife mit bauphysikalischen Inhalten}, doi = {10.25643/bauhaus-universitaet.1676}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20120704-16763}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {105}, abstract = {In dieser Arbeit wurde ein Konzept erstellt, das Fliplife um einen bauphysikalischen Karriereweg erweitert. In das Spiel wurden beispielhaft bauphysikalische Inhalte sowie spielkonzept-kompatible und wissensvermittelnde Spielmechaniken implementiert.}, subject = {Social Game}, language = {de} } @article{MorgenthalEickRauetal., author = {Morgenthal, Guido and Eick, Jan Frederick and Rau, Sebastian and Taraben, Jakob}, title = {Wireless Sensor Networks Composed of Standard Microcomputers and Smartphones for Applications in Structural Health Monitoring}, series = {Sensors - Special Issue Selected Papers from 7th Asia-Pacific Workshop on Structural Health Monitoring}, volume = {2019}, journal = {Sensors - Special Issue Selected Papers from 7th Asia-Pacific Workshop on Structural Health Monitoring}, number = {Volume 19, Issue 9, 2070}, publisher = {MDPI}, doi = {10.3390/s19092070}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20190514-39123}, pages = {22}, abstract = {Wireless sensor networks have attracted great attention for applications in structural health monitoring due to their ease of use, flexibility of deployment, and cost-effectiveness. This paper presents a software framework for WiFi-based wireless sensor networks composed of low-cost mass market single-board computers. A number of specific system-level software components were developed to enable robust data acquisition, data processing, sensor network communication, and timing with a focus on structural health monitoring (SHM) applications. The framework was validated on Raspberry Pi computers, and its performance was studied in detail. The paper presents several characteristics of the measurement quality such as sampling accuracy and time synchronization and discusses the specific limitations of the system. The implementation includes a complementary smartphone application that is utilized for data acquisition, visualization, and analysis. A prototypical implementation further demonstrates the feasibility of integrating smartphones as data acquisition nodes into the network, utilizing their internal sensors. The measurement system was employed in several monitoring campaigns, three of which are documented in detail. The suitability of the system is evaluated based on comparisons of target quantities with reference measurements. The results indicate that the presented system can robustly achieve a measurement performance commensurate with that required in many typical SHM tasks such as modal identification. As such, it represents a cost-effective alternative to more traditional monitoring solutions.}, subject = {Structural Health Monitoring}, language = {en} } @misc{vonButler, type = {Master Thesis}, author = {von Butler, Natalie}, title = {Scalarization Methods for Multi-Objective Structural Optimization}, doi = {10.25643/bauhaus-universitaet.4010}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20191030-40106}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {178}, abstract = {Scalarization methods are a category of multiobjective optimization (MOO) methods. These methods allow the usage of conventional single objective optimization algorithms, as scalarization methods reformulate the MOO problem into a single objective optimization problem. The scalarization methods analysed within this thesis are the Weighted Sum (WS), the Epsilon-Constraint (EC), and the MinMax (MM) method. After explaining the approach of each method, the WS, EC and MM are applied, a-posteriori, to three different examples: to the Kursawe function; to the ten bar truss, a common benchmark problem in structural optimization; and to the metamodel of an aero engine exit module. The aim is to evaluate and compare the performance of each scalarization method that is examined within this thesis. The evaluation is conducted using performance metrics, such as the hypervolume and the generational distance, as well as using visual comparison. The application to the three examples gives insight into the advantages and disadvantages of each method, and provides further understanding of an adequate application of the methods concerning high dimensional optimization problems.}, subject = {Mehrkriterielle Optimierung}, language = {en} } @inproceedings{VoellmeckeSchwendnerHoetal., author = {V{\"o}llmecke, Lars and Schwendner, Sascha and Ho, Ai Phien and Fischer, Jens and Seim, Werner}, title = {Assessment of nailed connections in existing structures}, doi = {10.25643/bauhaus-universitaet.6361}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20230609-63615}, pages = {7}, abstract = {This paper presents the development of an assessment scheme for a visual qualitative evaluation of nailed connections in existing structures, such as board trusses. In terms of further use and preservation, a quick visual inspection will help to evaluate the quality of a structure regarding its load-bearing capacity and deformation behaviour. Tests of old and new nailed joints in combination with a rating scheme point out the correlation between the load-bearing capacity and condition of a joint. Old joints of comparatively good condition tend to exhibit better results than those of poor condition. Moreover, aged joints are generally more load-bearing than newly assembled ones.}, subject = {Holzbau}, language = {en} } @phdthesis{Chen, author = {Chen, Na}, title = {A Balance between Ideals and Reality — Establishing and Evaluating a Resilient City Indicator System for Central Chinese Cities}, doi = {10.25643/bauhaus-universitaet.4030}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20191121-40309}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {212}, abstract = {Recent years have seen a gradual shift in focus of international policies from a national and regional perspective to that of cities, a shift which is closely related to the rapid urbanization of developing countries. As revealed in the 2011 Revision of the World Urbanization Prospects published by the United Nations, 51\% of the global population (approximately 3.6 billion people) lives in cities. The report predicts that by 2050, the world's urban population will increase by 2.3 billion, making up 68\% of the population. The growth of urbanization in the next few decades is expected to primarily come from developing countries, one third of which will be in China and India. With rapid urbanization and the ongoing growth of mega cities, cities must become increasingly resilient and intelligent to cope with numerous challenges and crises like droughts and floods arising from extreme climate, destruction brought by severe natural disasters, and aggregated social contradictions resulting from economic crises. All cities face the urban development dynamics and uncertainties arising from these problems. Under such circumstances, cities are considered the critical path from crisis to prosperity, so scholars and organizations have proposed the construction of "resilient cities." On the one hand, this theory emphasizes cities' defenses and buffering capacity against disasters, crises and uncertainties, as well as recovery after destruction; on the other hand, it highlights the learning capacity of urban systems, identification of opportunities amid challenges, and maintenance of development vitality. Some scholars even believe that urban resilience is a powerful supplement to sustainable development. Hence, resilience assessment has become the latest and most important perspective for evaluating the development and crisis defense capacity of cities. Rather than a general abstract concept, urban resilience is a comprehensive measurement of a city's level of development. The dynamic development of problems is reflected through quantitative indicators and appraisal systems not only from the perspective of academic research, but also governmental policy, so as to scientifically guide development, and measure and compare cities' development levels. Although international scholars have proposed quantitative methods for urban resilience assessment, they are however insufficiently systematic and regionally adaptive for China's current urban development needs. On the basis of comparative study on European and North American resilient city theories, therefore, this paper puts forwards a theoretical framework for resilient city systems consistent with China's national conditions in light of economic development pressure, natural resource depletion, pollution, and other salient development crises in China. The key factors influencing urban resilience are taken into full consideration; expert appraisal is conducted based on the Delphi Method and the analytic hierarchy process (AHP) to design an extensible and updatable resilient city evaluation system which is sufficiently systematic, geographically adaptable, and sustainable for China's current urban development needs. Finally, Changsha is taken as the main case for empirical study on comprehensive evaluation of similar cities in Central China to improve the indicator system.}, subject = {Stadtplanung}, language = {en} } @phdthesis{Tasch, author = {Tasch, Alexander}, title = {Reaktive Cu-Fe-Al-Mn-Oxidkeramiken f{\"u}r die Sauerstoffseparation aus der Luft}, doi = {10.25643/bauhaus-universitaet.4041}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20191209-40414}, school = {Bauhaus-Universit{\"a}t Weimar}, abstract = {Die Gase Sauerstoff und Stickstoff werden f{\"u}r eine Vielzahl an technischen, industriellen, biologischen und medizinischen Einsatzzwecken ben{\"o}tigt. So liegen Anwendungsgebiete dieser Gase neben der klassischen metallverarbeitenden und der chemischen Industrie bei Sauerstoff vor allem in der Medizin, Verbrennungs- und Kl{\"a}ranlagenoptimierung sowie der Fischzucht und bei Stickstoff als Schutz- beziehungsweise Inertgas in der Kunststoffindustrie, der Luft- und Raumfahrt sowie dem Brandschutz. Die Bereitstellung der Gase Sauerstoff und Stickstoff wird nahezu ausschließlich durch die Abtrennung aus der Umgebungsluft realisiert, welche aus ca. 78 Vol.-\% Stickstoff, 21 Vol.-\% Sauerstoff und 1 Vol.-\% Spurengasen (Ar, CO2, Ne, He, ...) besteht. Am Markt etablierte Verfahren der Luftzerlegung sind das Linde-, das PSA- (pressure swing adsorption/Druckwechseladsorption) oder verschiedene Membran-Verfahren. Hierdurch werden die ben{\"o}tigten Gase entweder direkt vor Ort beim Verbraucher erzeugt (PSA- und Polymer-Membranverfahren: geringe Reinheiten) oder zentral in großen Anlagen hergestellt (Linde-Verfahren: hohe Reinheiten) und anschließend zum Verbraucher in Form von Flaschen- oder Tankgasen geliefert (Tansportkosten). F{\"u}r kleinere Verbraucher mit hohen Anspr{\"u}chen an die Reinheit des ben{\"o}tigten Sauerstoffs beziehungsweise Stickstoffs ergibt sich nur die M{\"o}glichkeit, die Gase als kostenintensive Transportgase zentraler Gaseversorger zu beziehen und sich somit in eine Abh{\"a}ngigkeit (Liefervertr{\"a}ge, Flaschen-/Tankmieten, ...) zu diesen zu begeben sowie eine eigene Lagerhaltung f{\"u}r die ben{\"o}tigten Gase (Mehraufwand, Lagerkosten, Platzbedarf) zu betreiben. Ziel dieser Arbeit ist es, keramische Material-Systeme auf Basis chemischer Hochtemperatur-Reaktionen als Reaktive Oxidkeramiken zu entwickeln und diese hinsichtlich eines m{\"o}glichen Einsatzes f{\"u}r die Sauerstoffseparation in neuartigen Luftzerlegungsanlagen zu untersuchen. Derartige Anlagen sollen in ihrem Prinzip an die regenerative Sauerstoffseparation angelehnt sein und in ihren Reaktoren die Reaktiven Oxidkeramiken als Festbett-Material abwechselnd mit Luft be- und Vakuum oder O2-armen Atmosph{\"a}ren entladen. Die Verwendung Reaktiver Oxidkeramiken, welche im Vergleich zu den bisherigen Materialien h{\"o}here Sauerstoffaustauschmengen und -raten bei gleichzeitig hoher Lebensdauer und Korrosionsbest{\"a}ndigkeit sowie relativ einfacher Handhabe aufweisen w{\"u}rden, soll ein Schritt in Richtung einer effizienten alternativen Luftzerlegungstechnologie sein. Mit den Reaktiven Oxidkeramiken in einer Luftzerlegungsanlage sollte es im besten Fall m{\"o}glich sein, in kleinen Anlagen sehr reinen Sauerstoff und zugleich sauerstofffreies Inertgas zu erzeugen sowie eine Sauerstoffan- oder -abreicherung von Luft, Prozess- oder Abgasen zu generieren. Somit bes{\"a}ße eine solche, auf Reaktiven Oxidkeramiken basierende Technologie sehr weit gef{\"a}cherte Einsatzgebiete und demzufolge ein enormes wirtschaftliches Potential.}, subject = {Luftzerlegung}, language = {de} } @masterthesis{Kuehnert2011, type = {Bachelor Thesis}, author = {K{\"u}hnert, Christin}, title = {Entwicklung von Spielmechaniken f{\"u}r ein bauphysikalisches Social Game}, doi = {10.25643/bauhaus-universitaet.1522}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20120117-15227}, school = {Bauhaus-Universit{\"a}t Weimar}, year = {2011}, abstract = {Eine der j{\"u}ngsten Entwicklungen in der Games Branche sind sogenannte Social Games. Hierbei handelt es sich um digitale Spiele, die innerhalb von sozialen Netzwerken, wie z.B. Facebook und Myspace, gespielt werden. Studien zeigen, dass kommerzielle digitale Spiele mehr als nur ein Zeitvertreib sind. Sie f{\"o}rdern sowohl kognitive, als auch affektive und psychomotorische Kompetenzen. Aus diesem Grund werden seit Jahrzehnten digitale Spiele in der P{\"a}dagogik eingesetzt, um ihre Motivationskraft zu nutzen, um Lerneffekte zu erzielen. Ziel dieser Arbeit ist es Spielmechaniken f{\"u}r ein bauphysikalisches Social Game zu entwickeln. Ausgehend von der Identifikation von Spielmechaniken, basierend auf einer Analyse der Funktionsweisen existierender popul{\"a}rer Social Games, und einem grundlegenden p{\"a}dagogischen Verst{\"a}ndnis bez{\"u}glich Digital Game Based Learning (DGBL), werden Spielmechaniken entwickelt, mit deren Hilfe bauphysikalische Fachkompetenzen vermittelt werden k{\"o}nnen.}, subject = {Computerunterst{\"u}tztes Lernen}, language = {de} } @article{KavrakovLegatiukGuerlebecketal., author = {Kavrakov, Igor and Legatiuk, Dmitrii and G{\"u}rlebeck, Klaus and Morgenthal, Guido}, title = {A categorical perspective towards aerodynamic models for aeroelastic analyses of bridge decks}, series = {Royal Society Open Science}, journal = {Royal Society Open Science}, number = {Volume 6, Issue 3}, doi = {/10.1098/rsos.181848}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20190314-38656}, pages = {20}, abstract = {Reliable modelling in structural engineering is crucial for the serviceability and safety of structures. A huge variety of aerodynamic models for aeroelastic analyses of bridges poses natural questions on their complexity and thus, quality. Moreover, a direct comparison of aerodynamic models is typically either not possible or senseless, as the models can be based on very different physical assumptions. Therefore, to address the question of principal comparability and complexity of models, a more abstract approach, accounting for the effect of basic physical assumptions, is necessary. This paper presents an application of a recently introduced category theory-based modelling approach to a diverse set of models from bridge aerodynamics. Initially, the categorical approach is extended to allow an adequate description of aerodynamic models. Complexity of the selected aerodynamic models is evaluated, based on which model comparability is established. Finally, the utility of the approach for model comparison and characterisation is demonstrated on an illustrative example from bridge aeroelasticity. The outcome of this study is intended to serve as an alternative framework for model comparison and impact future model assessment studies of mathematical models for engineering applications.}, subject = {Br{\"u}cke}, language = {en} } @article{ChenSchwingKarlovšeketal., author = {Chen, Zhen and Schwing, Moritz and Karlovšek, Jurij and Wagner, Norman and Scheuermann, Alexander}, title = {Broadband Dielectric Measurement Methods for Soft Geomaterials: Coaxial Transmission Line Cell and Open-Ended Coaxial Probe}, series = {International Journal of Engineering and Technology}, volume = {2014}, journal = {International Journal of Engineering and Technology}, number = {volume 6, number 5}, doi = {10.7763/IJET.2014.V6.728}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210408-43984}, pages = {373 -- 380}, abstract = {Broadband dielectric measurement methods based on vector network analyzer coupled with coaxial transmission line cell (CC) and open-ended coaxial probe (OC) are simply reviewed, by which the dielectric behaviors in the frequency range of 1 MHz to 3 GHz of two practical geomaterials are investigated. Kaolin after modified compaction with different water contents is measured by using CC. The results are consistent with previous study on standardized compacted kaolin and suggest that the dielectric properties at frequencies below 100 MHz are not only a function of water content but also functions of other soil state parameters including dry density. The hydration process of a commercial grout is monitored in real time by using OC. It is found that the time dependent dielectric properties can accurately reveal the different stages of the hydration process. These measurement results demonstrate the practicability of the introduced methods in determining dielectric properties of soft geomaterials.}, subject = {Impedanzspektroskopie}, language = {en} } @misc{Habtemariam, type = {Master Thesis}, author = {Habtemariam, Abinet Kifle}, title = {Numerical Demolition Analysis of a Slender Guyed Antenna Mast}, doi = {10.25643/bauhaus-universitaet.4460}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210723-44609}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {75}, abstract = {The main purpose of the thesis is to ensure the safe demolition of old guyed antenna masts that are located in different parts of Germany. The major problem in demolition of this masts is the falling down of the masts in unexpected direction because of buckling problem. The objective of this thesis is development of a numerical models using finite element method (FEM) and assuring a controlled collapse by coming up with different time setups for the detonation of explosives which are responsible for cutting down the cables. The result of this thesis will avoid unexpected outcomes during the demolition processes and prevent risk of collapsing of the mast over near by structures.}, subject = {Abbruch}, language = {en} } @article{AlkamLahmer, author = {Alkam, Feras and Lahmer, Tom}, title = {A robust method of the status monitoring of catenary poles installed along high-speed electrified train tracks}, series = {Results in Engineering}, volume = {2021}, journal = {Results in Engineering}, number = {volume 12, article 100289}, publisher = {Elsevier}, address = {Amsterdam}, doi = {10.1016/j.rineng.2021.100289}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20211011-45212}, pages = {1 -- 8}, abstract = {Electric trains are considered one of the most eco-friendly and safest means of transportation. Catenary poles are used worldwide to support overhead power lines for electric trains. The performance of the catenary poles has an extensive influence on the integrity of the train systems and, consequently, the connected human services. It became a must nowadays to develop SHM systems that provide the instantaneous status of catenary poles in- service, making the decision-making processes to keep or repair the damaged poles more feasible. This study develops a data-driven, model-free approach for status monitoring of cantilever structures, focusing on pre-stressed, spun-cast ultrahigh-strength concrete catenary poles installed along high-speed train tracks. The pro-posed approach evaluates multiple damage features in an unfied damage index, which leads to straightforward interpretation and comparison of the output. Besides, it distinguishes between multiple damage scenarios of the poles, either the ones caused by material degradation of the concrete or by the cracks that can be propagated during the life span of the given structure. Moreover, using a logistic function to classify the integrity of structure avoids the expensive learning step in the existing damage detection approaches, namely, using the modern machine and deep learning methods. The findings of this study look very promising when applied to other types of cantilever structures, such as the poles that support the power transmission lines, antenna masts, chimneys, and wind turbines.}, subject = {Fahrleitung}, language = {en} } @phdthesis{Stang, author = {Stang, Ren{\´e}}, title = {Methode zur {\"O}koeffizienzbewertung w{\"a}rmetechnischer Anlagen in Geb{\"a}uden}, publisher = {VDI Verlag}, address = {D{\"u}sseldorf}, isbn = {978-3-18-300623-6 (print)}, doi = {10.25643/bauhaus-universitaet.4528}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20211119-45280}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {222}, abstract = {Die vorliegende Arbeit richtet sich an Ingenieur*innen und Wissenschaftler*innen der technischen Geb{\"a}udeausr{\"u}stung. Sie greift einen sich abzeichnenden {\"A}nderungsbedarf in der Umwelt- und Nachhaltigkeitsbewertung von Geb{\"a}uden und w{\"a}rmetechnischen Anlagen auf. Der aktuell genutzte nicht erneuerbare Prim{\"a}renergiebedarf wird insbesondere hinsichtlich k{\"u}nftiger politischer Klima- und Umweltschutzziele als alleinige Bewertungsgr{\"o}ße nicht ausreichend sein. Die mit dieser Arbeit vorgestellte {\"O}koeffizienzbewertungsmethode kann als geeignetes Instrument zur L{\"o}sung der Probleme beitragen. Sie erm{\"o}glicht systematische, ganzheitliche Bewertungen und reproduzierbare Vergleiche w{\"a}rmetechnischer Anlagen bez{\"u}glich ihrer {\"o}kologischen und {\"o}konomischen Nachhaltigkeit. Die wesentlichsten Neuentwicklungen sind die spezifische Umweltleistung, in Erweiterung zum genutzten Prim{\"a}renergiefaktor, und der {\"O}koeffizienzindikator UWI.}, subject = {Energiewirtschaft}, language = {de} } @phdthesis{Ren, author = {Ren, Huilong}, title = {Dual-horizon peridynamics and Nonlocal operator method}, doi = {10.25643/bauhaus-universitaet.4403}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210412-44039}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {223}, abstract = {In the last two decades, Peridynamics (PD) attracts much attention in the field of fracture mechanics. One key feature of PD is the nonlocality, which is quite different from the ideas in conventional methods such as FEM and meshless method. However, conventional PD suffers from problems such as constant horizon, explicit algorithm, hourglass mode. In this thesis, by examining the nonlocality with scrutiny, we proposed several new concepts such as dual-horizon (DH) in PD, dual-support (DS) in smoothed particle hydrodynamics (SPH), nonlocal operators and operator energy functional. The conventional PD (SPH) is incorporated in the DH-PD (DS-SPH), which can adopt an inhomogeneous discretization and inhomogeneous support domains. The DH-PD (DS-SPH) can be viewed as some fundamental improvement on the conventional PD (SPH). Dual formulation of PD and SPH allows h-adaptivity while satisfying the conservations of linear momentum, angular momentum and energy. By developing the concept of nonlocality further, we introduced the nonlocal operator method as a generalization of DH-PD. Combined with energy functional of various physical models, the nonlocal forms based on dual-support concept are derived. In addition, the variation of the energy functional allows implicit formulation of the nonlocal theory. At last, we developed the higher order nonlocal operator method which is capable of solving higher order partial differential equations on arbitrary domain in higher dimensional space. Since the concepts are developed gradually, we described our findings chronologically. In chapter 2, we developed a DH-PD formulation that includes varying horizon sizes and solves the "ghost force" issue. The concept of dual-horizon considers the unbalanced interactions between the particles with different horizon sizes. The present formulation fulfills both the balances of linear momentum and angular momentum exactly with arbitrary particle discretization. All three peridynamic formulations, namely bond based, ordinary state based and non-ordinary state based peridynamics can be implemented within the DH-PD framework. A simple adaptive refinement procedure (h-adaptivity) is proposed reducing the computational cost. Both two- and three- dimensional examples including the Kalthoff-Winkler experiment and plate with branching cracks are tested to demonstrate the capability of the method. In chapter 3, a nonlocal operator method (NOM) based on the variational principle is proposed for the solution of waveguide problem in computational electromagnetic field. Common differential operators as well as the variational forms are defined within the context of nonlocal operators. The present nonlocal formulation allows the assembling of the tangent stiffness matrix with ease, which is necessary for the eigenvalue analysis of the waveguide problem. The present formulation is applied to solve 1D Schrodinger equation, 2D electrostatic problem and the differential electromagnetic vector wave equations based on electric fields. In chapter 4, a general nonlocal operator method is proposed which is applicable for solving partial differential equations (PDEs) of mechanical problems. The nonlocal operator can be regarded as the integral form, ``equivalent'' to the differential form in the sense of a nonlocal interaction model. The variation of a nonlocal operator plays an equivalent role as the derivatives of the shape functions in the meshless methods or those of the finite element method. Based on the variational principle, the residual and the tangent stiffness matrix can be obtained with ease. The nonlocal operator method is enhanced here also with an operator energy functional to satisfy the linear consistency of the field. A highlight of the present method is the functional derived based on the nonlocal operator can convert the construction of residual and stiffness matrix into a series of matrix multiplications using the predefined nonlocal operators. The nonlocal strong forms of different functionals can be obtained easily via the concept of support and dual-support. Several numerical examples of different types of PDEs are presented. In chapter 5, we extended the NOM to higher order scheme by using a higher order Taylor series expansion of the unknown field. Such a higher order scheme improves the original NOM in chapter 3 and chapter 4, which can only achieve one-order convergence. The higher order NOM obtains all partial derivatives with specified maximal order simultaneously without resorting to shape functions. The functional based on the nonlocal operators converts the construction of residual and stiffness matrix into a series of matrix multiplication on the nonlocal operator matrix. Several numerical examples solved by strong form or weak form are presented to show the capabilities of this method. In chapter 6, the NOM proposed as a particle-based method in chapter 3,4,5, has difficulty in imposing accurately the boundary conditions of various orders. In this paper, we converted the particle-based NOM into a scheme with interpolation property. The new scheme describes partial derivatives of various orders at a point by the nodes in the support and takes advantage of the background mesh for numerical integration. The boundary conditions are enforced via the modified variational principle. The particle-based NOM can be viewed a special case of NOM with interpolation property when nodal integration is used. The scheme based on numerical integration greatly improves the stability of the method, as a consequence, the operator energy functional in particle-based NOM is not required. We demonstrated the capabilities of current method by solving the gradient solid problems and comparing the numerical results with the available exact solutions. In chapter 7, we derived the DS-SPH in solid within the framework of variational principle. The tangent stiffness matrix of SPH can be obtained with ease, and can be served as the basis for the present implicit SPH. We proposed an hourglass energy functional, which allows the direct derivation of hourglass force and hourglass tangent stiffness matrix. The dual-support is {involved} in all derivations based on variational principles and is automatically satisfied in the assembling of stiffness matrix. The implementation of stiffness matrix comprises with two steps, the nodal assembly based on deformation gradient and global assembly on all nodes. Several numerical examples are presented to validate the method.}, subject = {Peridynamik}, language = {en} } @phdthesis{Valizadeh, author = {Valizadeh, Navid}, title = {Developments in Isogeometric Analysis and Application to High-Order Phase-Field Models of Biomembranes}, doi = {10.25643/bauhaus-universitaet.4565}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220114-45658}, school = {Bauhaus-Universit{\"a}t Weimar}, abstract = {Isogeometric analysis (IGA) is a numerical method for solving partial differential equations (PDEs), which was introduced with the aim of integrating finite element analysis with computer-aided design systems. The main idea of the method is to use the same spline basis functions which describe the geometry in CAD systems for the approximation of solution fields in the finite element method (FEM). Originally, NURBS which is a standard technology employed in CAD systems was adopted as basis functions in IGA but there were several variants of IGA using other technologies such as T-splines, PHT splines, and subdivision surfaces as basis functions. In general, IGA offers two key advantages over classical FEM: (i) by describing the CAD geometry exactly using smooth, high-order spline functions, the mesh generation process is simplified and the interoperability between CAD and FEM is improved, (ii) IGA can be viewed as a high-order finite element method which offers basis functions with high inter-element continuity and therefore can provide a primal variational formulation of high-order PDEs in a straightforward fashion. The main goal of this thesis is to further advance isogeometric analysis by exploiting these major advantages, namely precise geometric modeling and the use of smooth high-order splines as basis functions, and develop robust computational methods for problems with complex geometry and/or complex multi-physics. As the first contribution of this thesis, we leverage the precise geometric modeling of isogeometric analysis and propose a new method for its coupling with meshfree discretizations. We exploit the strengths of both methods by using IGA to provide a smooth, geometrically-exact surface discretization of the problem domain boundary, while the Reproducing Kernel Particle Method (RKPM) discretization is used to provide the volumetric discretization of the domain interior. The coupling strategy is based upon the higher-order consistency or reproducing conditions that are directly imposed in the physical domain. The resulting coupled method enjoys several favorable features: (i) it preserves the geometric exactness of IGA, (ii) it circumvents the need for global volumetric parameterization of the problem domain, (iii) it achieves arbitrary-order approximation accuracy while preserving higher-order smoothness of the discretization. Several numerical examples are solved to show the optimal convergence properties of the coupled IGA-RKPM formulation, and to demonstrate its effectiveness in constructing volumetric discretizations for complex-geometry objects. As for the next contribution, we exploit the use of smooth, high-order spline basis functions in IGA to solve high-order surface PDEs governing the morphological evolution of vesicles. These governing equations are often consisted of geometric PDEs, high-order PDEs on stationary or evolving surfaces, or a combination of them. We propose an isogeometric formulation for solving these PDEs. In the context of geometric PDEs, we consider phase-field approximations of mean curvature flow and Willmore flow problems and numerically study the convergence behavior of isogeometric analysis for these problems. As a model problem for high-order PDEs on stationary surfaces, we consider the Cahn-Hilliard equation on a sphere, where the surface is modeled using a phase-field approach. As for the high-order PDEs on evolving surfaces, a phase-field model of a deforming multi-component vesicle, which consists of two fourth-order nonlinear PDEs, is solved using the isogeometric analysis in a primal variational framework. Through several numerical examples in 2D, 3D and axisymmetric 3D settings, we show the robustness of IGA for solving the considered phase-field models. Finally, we present a monolithic, implicit formulation based on isogeometric analysis and generalized-alpha time integration for simulating hydrodynamics of vesicles according to a phase-field model. Compared to earlier works, the number of equations of the phase-field model which need to be solved is reduced by leveraging high continuity of NURBS functions, and the algorithm is extended to 3D settings. We use residual-based variational multi-scale method (RBVMS) for solving Navier-Stokes equations, while the rest of PDEs in the phase-field model are treated using a standard Galerkin-based IGA. We introduce the resistive immersed surface (RIS) method into the formulation which can be employed for an implicit description of complex geometries using a diffuse-interface approach. The implementation highlights the robustness of the RBVMS method for Navier-Stokes equations of incompressible flows with non-trivial localized forcing terms including bending and tension forces of the vesicle. The potential of the phase-field model and isogeometric analysis for accurate simulation of a variety of fluid-vesicle interaction problems in 2D and 3D is demonstrated.}, subject = {Phasenfeldmodell}, language = {en} } @phdthesis{Jenabidehkordi, author = {Jenabidehkordi, Ali}, title = {An efficient adaptive PD formulation for complex microstructures}, doi = {10.25643/bauhaus-universitaet.4738}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20221116-47389}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {118}, abstract = {The computational costs of newly developed numerical simulation play a critical role in their acceptance within both academic use and industrial employment. Normally, the refinement of a method in the area of interest reduces the computational cost. This is unfortunately not true for most nonlocal simulation, since refinement typically increases the size of the material point neighborhood. Reducing the discretization size while keep- ing the neighborhood size will often require extra consideration. Peridynamic (PD) is a newly developed numerical method with nonlocal nature. Its straightforward integral form equation of motion allows simulating dynamic problems without any extra consideration required. The formation of crack and its propagation is known as natural to peridynamic. This means that discontinuity is a result of the simulation and does not demand any post-processing. As with other nonlocal methods, PD is considered an expensive method. The refinement of the nodal spacing while keeping the neighborhood size (i.e., horizon radius) constant, emerges to several nonphysical phenomena. This research aims to reduce the peridynamic computational and imple- mentation costs. A novel refinement approach is introduced. The pro- posed approach takes advantage of the PD flexibility in choosing the shape of the horizon by introducing multiple domains (with no intersections) to the nodes of the refinement zone. It will be shown that no ghost forces will be created when changing the horizon sizes in both subdomains. The approach is applied to both bond-based and state-based peridynamic and verified for a simple wave propagation refinement problem illustrating the efficiency of the method. Further development of the method for higher dimensions proves to have a direct relationship with the mesh sensitivity of the PD. A method for solving the mesh sensitivity of the PD is intro- duced. The application of the method will be examined by solving a crack propagation problem similar to those reported in the literature. New software architecture is proposed considering both academic and in- dustrial use. The available simulation tools for employing PD will be collected, and their advantages and drawbacks will be addressed. The challenges of implementing any node base nonlocal methods while max- imizing the software flexibility to further development and modification will be discussed and addressed. A software named Relation-Based Sim- ulator (RBS) is developed for examining the proposed architecture. The exceptional capabilities of RBS will be explored by simulating three distinguished models. RBS is available publicly and open to further develop- ment. The industrial acceptance of the RBS will be tested by targeting its performance on one Mac and two Linux distributions.}, subject = {Peridynamik}, language = {en} } @phdthesis{Partschefeld, author = {Partschefeld, Stephan}, title = {Synthese von Fließmitteln aus St{\"a}rke und Untersuchung der Wechselwirkung mit Portlandzement}, doi = {10.25643/bauhaus-universitaet.4640}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220505-46402}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {145}, abstract = {Das Ziel dieser Arbeit war es, neuartige Fließmittel auf Basis von St{\"a}rke als nachwachsenden Rohstoff zu synthetisieren und die Wechselwirkung mit Portlandzement zu charakterisieren. Die Notwendigkeit, Alternativen zu synthetischen Zusatzmittel zu erforschen, ergibt sich aus der ben{\"o}tigten Menge zur Verarbeitung von ca. 4,1 Gt/a, wobei ca. 85 \% der Zusatzmittel auf die Fließmittel entfallen. Um Fließmittel aus St{\"a}rke zu synthetisieren, wurden drei Basisst{\"a}rken unterschiedlicher Herkunft verwendet. Es wurde eine Maniokst{\"a}rke mit einer niedrigen Molekularmasse und eine Weizenst{\"a}rke mit einer hohen Molekularmasse verwendet. Dar{\"u}ber hinaus wurde eine Kartoffelst{\"a}rke mit einer mittleren Molekularmasse, die ein Abfallprodukt der kartoffelverarbeitenden Industrie darstellt, genutzt. Die St{\"a}rkefließmittel wurden durch chemische Modifikation in einem zweistufigen Prozess synthetisiert. Im ersten Schritt wurde das Molekulargewicht der Weizen- und Kartoffelst{\"a}rke durch s{\"a}urehydrolytischen Abbau verringert. F{\"u}r die kurzkettige Maniokst{\"a}rke war eine Degradation der Molekularmasse nicht notwendig. Im zweiten Syntheseschritt wurden anionische Ladungen durch das Versetzen der degradierten St{\"a}rken und Maniokst{\"a}rke mit Natriumvinylsulfonat in die St{\"a}rkemolek{\"u}le eingef{\"u}hrt. Beurteilung der Synthesemethode zur Erzeugung von St{\"a}rkefließmitteln In diesem Zusammenhang sollten molekulare Parameter der St{\"a}rkefließmittel gezielt eingestellt werden, um eine Fließwirkung im Portlandzement zu erhalten. Insbesondere die Molekularmasse und die Menge anionischer Ladungen sollte variiert werden, um Abh{\"a}ngigkeiten mit der Dispergierleistung zu identifizieren. 1. Es konnte durch GPC-Messungen gezeigt werden, dass die Molekularmasse der langkettigen Weizenst{\"a}rke durch die gew{\"a}hlten Modifizierungsbedingungen zum s{\"a}urehydrolytischen Abbau verringert werden konnte. Durch Variation der s{\"a}urehydrolytischen Bedingungen wurden 4 degradierte Weizenst{\"a}rken erzeugt, die eine Reduzierung der Molekularmasse um 27,5 - 43 \% aufwiesen. Die Molekularmasse der Kartoffelst{\"a}rke konnte durch s{\"a}urehydrolytischen Abbau um ca. 26 \% verringert werden. 2. Durch PCD-Messungen wurde gezeigt, dass anionische Ladungen durch Sulfoethylierung der freien Hydroxylgruppen in die degradierten St{\"a}rken eingef{\"u}hrt werden konnten. Durch Variation der Dauer der Sulfoethylierung konnte die Menge der anionischen Ladungen gesteuert und gezielt variiert werden, so dass St{\"a}rkefließmittel mit steigender Ladungsmenge in folgender Reihenfolge synthetisiert wurden: W-3 < W-2 < K-1 < W¬-4 < W¬1 < M-1 Im Ergebnis der chemischen Modifizierung konnten 6 St{\"a}rkefließmittel mit variierten Molekularmassen und anionischen Ladungen erzeugt werden. Es konnte gezeigt werden, dass die Herkunft der St{\"a}rke f{\"u}r die chemische Modifizierung unerheblich ist. Die Fließmittel lagen synthesebedingt als basische, w{\"a}ssrige Suspensionen mit Wirkstoffgehalten im Bereich von 23,5 - 50 \% vor. Beurteilung der Dispergierleistung der synthetisierten St{\"a}rkefließmittel Die Dispergierperformance wurde durch rheologische Experimente mit einem Rotationsviskosimeter erfasst. Dabei wurden der Einfluss auf die Fließkurven und die Viskosit{\"a}tskurven betrachtet. Durch Vergleich der Dispergierleistung mit einem Polykondensat- und einem PCE-Fließmittel konnte eine Einordnung und Bewertung der Fließmittel vorgenommen werden. 3. Die rheologische Experimente haben gezeigt, dass die St{\"a}rkefließmittel eine vergleichbar hohe Dispergierleistung aufweisen, wie das zum Vergleich herangezogen PCE-Fließmittel. Dar{\"u}ber hinaus zeigte sich, dass die Fließwirkung der 6 St{\"a}rkefließmittel gegen{\"u}ber dem Polykondensatfließmittel deutlich h{\"o}her ist. Das aus der Literatur bekannte Einbrechen der Dispergierleistung der Polykondensat-fließmittel bei w/z-Werten < 0,4 konnte best{\"a}tigt werden. 4. Alle 6 St{\"a}rkefließmittel f{\"u}hrten zu einer Verringerung der Fließgrenze und der dynamischen Viskosit{\"a}t des Zementleimes bei einem w/z-Wert von 0,35. 5. Der Vergleich der Dispergierleistung der St{\"a}rkefließmittel untereinander zeigte, dass die anionische Ladungsmenge einen Schl{\"u}sselparameter darstellt. Die St{\"a}rkefließmittel M-1, K-1, W-1 und W-4 mit anionischen Ladungsmengen > 6 C/g zeigten die h{\"o}chste Dispergier¬performance. Die vergleichend herangezogenen klassischen Fließmittel wiesen anionische Ladungsmengen im Bereich von 1,2 C/g (Polycondensat) und 1,6 C/g (PCE) auf. Die Molekularmasse schien f{\"u}r die Dispergierleistung zun{\"a}chst unerheblich zu sein. Aus diesem Grund wurde die Basisweizenst{\"a}rke erneut chemisch modifiziert, indem anionische Ladungen eingef{\"u}hrt wurden, ohne die Molekularmasse jedoch zu verringern. Das St{\"a}rkederivat wies verdickende Eigenschaften im Zementleim auf. Daraus konnte geschlussfolgert werden, dass eine definierte Grenzmolekularmasse (150.000 Da) existiert, die unterschritten werden muss, um Fließmittel aus St{\"a}rke zu erzeugen. Des Weiteren zeigen die Ergebnisse, dass durch die chemische Modifizierung sowohl Fließmittel als auch Verdicker aus St{\"a}rke erzeugt werden k{\"o}nnen. Beurteilung der Beeinflussung der Hydratation und der Porenl{\"o}sung des Portlandzementes Aus der Literatur ist bekannt, dass Fließmittel die Hydratation von Portlandzement maßgeblich beeinflussen k{\"o}nnen. Aus diesem Grund wurden kalorimetrische und konduktometrische Untersuchungen an Zementsuspensionen, die mit den synthetisierten St{\"a}rkefließmitteln versetzt wurden, durchgef{\"u}hrt. Erg{\"a}nzt wurden die Untersuchungen durch Porenl{\"o}sungsanalysen zu verschiedenen Zeitpunkten der Hydratation. 6. Die kalorimetrischen Untersuchungen zur Beeinflussung der Hydratation des Portlandzementes zeigten, dass die dormante Periode durch die Zugabe der St{\"a}rkefließmittel z.T. erheblich verl{\"a}ngert wird. Es konnte gezeigt werden, dass, je h{\"o}her die anionische Ladungsmenge der St{\"a}rkefließmittel ist, desto l{\"a}nger dauert die dormante Periode andauert. Dar{\"u}ber hinaus zeigte sich, dass eine niedrige Molekularmasse der St{\"a}rkefließmittel die Verl{\"a}ngerung der dormanten Periode beg{\"u}nstigt. 7. Durch die konduktometrischen Untersuchungen konnte gezeigt werden, dass alle St{\"a}rkefließmittel die Dauer des freien- und diffusionskontrollierten CSH-Phasenwachstums verlangsamen. Insbesondere die Ausf{\"a}llung des Portlandits, welches mit dem Erstarrungsbeginn korreliert, erfolgt zu deutlich sp{\"a}teren Zeitpunkten. Des Weiteren korrelierten die konduktometrischen Untersuchungen mit der zeitlichen Entwicklung der Calciumkonzentration der Porenl{\"o}sungen. Der Vergleich der St{\"a}rkefließmittel untereinander zeigte, dass die Molekularmasse ein Schl{\"u}sselparameter ist. Das St{\"a}rkefließmittel M-1 mit der geringsten Molekularmasse, welches geringe Mengen kurzkettiger Anhydroglucoseeinheiten aufweist, verz{\"o}gert die Hydratphasenbildung am st{\"a}rksten. Diese Wirkung ist vergleichbar mit der von Zuckern. Dar{\"u}ber hinaus deuteten die Ergebnisse daraufhin, dass die St{\"a}rkefließmittel auf den ersten Hydratationsprodukten adsorbieren, wodurch die Hydratphasenbildung verlangsamt wird. Die kalorimetrischen und konduktometrischen Daten sowie die Ergebnisse der Porenl{\"o}sungsanalytik des Zementes, erforderten eine genauere Betrachtung der Beeinflussung der Hydratation der Klinkerphasen C3A und C3S, durch die St{\"a}rkefließmittel. Demzufolge wurden die Untersuchungen mit den Klinkerphasen C3A und C3S in Analogie zum Portlandzement durchgef{\"u}hrt. Beurteilung der Beeinflussung der Hydratation und der Porenl{\"o}sung des C3A W{\"a}hrend die kalorimetrischen Untersuchungen zur C3A-Hydratation eine Tendenz zur verlangsamten Hydratphasenbildung durch die St{\"a}rkefließmittel aufzeigten, lieferten die konduktometrischen Ergebnisse grundlegende Erkenntnisse zur Beeinflussung der C3A-Hydratation. Das Stadium I der C3A-Hydratation ist durch einen Abfall der elektrischen Leitf{\"a}higkeit gepr{\"a}gt. Dies korreliert mit dem Absinken der Calciumionenkonzentration und dem Anstieg der Aluminiumionenkonzentration in der Porenl{\"o}sung der C3A-Suspensionen. Im Anschluss an das Stadium I bildet sich ein Plateau in den elektrischen Leitf{\"a}higkeitskurven aus. 8. Es konnte gezeigt werden, dass die St{\"a}rkefließmittel das Stadium I der C3A-Hydratation, d.h. die Aufl{\"o}sung und Bildung erster Calciumaluminathydrate verlangsamen. Insbesondere die St{\"a}rkefließmittel mit h{\"o}herer Molekularmasse erh{\"o}hten die Dauer des Stadium I. Das Stadium II wird durch die St{\"a}rkefließmittel in folgender Reihenfolge am st{\"a}rksten verl{\"a}ngert: M-1 > W-3 > K-1 > W-2 ≥ W-4 und verdeutlicht, dass keine Abh{\"a}ngigkeit von der anionischen Ladungsmenge identifiziert werden konnte. Die Ergebnisse zeigten, dass speziell die kurzkettige St{\"a}rke M-1, das Stadium II l{\"a}nger aufrechterhalten. 9. Das Stadium III und IV der C3A-Hydratation wird insbesondere durch die St{\"a}rkefließmittel mit h{\"o}herer Molekularmasse verl{\"a}ngert. Die Ergebnisse der Porenl{\"o}sungsanalytik korrelieren mit den Ergebnissen der elektrischen Leitf{\"a}higkeit. Speziell die zeitlichen Verl{\"a}ufe der Calciumionenkonzentration bildeten die Verl{\"a}ufe der Konduktivit{\"a}tskurven der C3A-Hydratation mit großer {\"U}bereinstimmung ab. Beurteilung der Beeinflussung der Hydratation und der Porenl{\"o}sung des C3S Die Ergebnisse der kalorimetrischen Untersuchungen zur Beeinflussung der C3S-Hydratation durch die St{\"a}rkefließmittel zeigen, dass diese maßgeblich verlangsamt wird. Das Maximum des Haupthydratationspeaks wird zu sp{\"a}teren Zeiten verschoben und auch die H{\"o}he des Maximums wird deutlich verringert. Durch die konduktometrischen Experimente wurde aufgekl{\"a}rt, welche Stadien der C3S-Hydrataion beeinflusst wurden. 10. Es konnte gezeigt werden, dass sowohl die Menge der eingebrachten anionischen Ladungen als auch das Vorhandensein sehr kleiner St{\"a}rkefließmittelmolek{\"u}le (Zucker), Schl{\"u}sselparameter der verz{\"o}gerten Hydratationskinetik des C3S sind. Der grundlegende Mechanismus der Hydratationsverz{\"o}gerung beruht auf einer Kombination aus verminderter CSH-Keimbildung und Adsorptionsprozessen auf den ersten gebildeten CSH-Phasen der C3S-Partikel. Beurteilung des Adsorptionsverhaltens am Zement, C3A und C3S Die Bestimmung des Adsorptionsverhaltens der St{\"a}rkefließmittel erfolgte mit der Phenol-Schwefels{\"a}ure-Methode an Zement,- C3A- und C3S-Suspensionen. Durch den Vergleich der Adsorptionsraten und Adsorptionsmengen in Abh{\"a}ngigkeit von den molekularen Parametern der St{\"a}rkefließmittel wurde ein Wechselwirkungsmodell identifiziert. 11. Die Ursache f{\"u}r die hohe Dispergierleistung der St{\"a}rkefließmittel liegt in Adsorptionsprozessen an den ersten gebildeten Hydratphasen des Zementes begr{\"u}ndet. Die Molekularmasse der St{\"a}rkefließmittel ist ein Schl{\"u}sselparameter der entscheidend f{\"u}r den Mechanismus der Adsorption ist. W{\"a}hrend anionische, langkettige St{\"a}rken an mehreren Zementpartikeln gleichzeitig adsorbieren und f{\"u}r eine Vernetzung der Zementpartikel untereinander sorgen (Verdickerwirkung), adsorbieren kurzkettige anionische St{\"a}rken lediglich an den ersten gebildeten Hydratphasen der einzelnen Zementpartikel und f{\"u}hren zu elektrostatischer Abstoßung (Fließmittelwirkung). 12. Es konnte gezeigt werden, dass die St{\"a}rkefließmittel mit geringerem Molekulargewicht bei h{\"o}heren Konzentrationen an den Hydratphasen des Zementes adsorbieren. Die St{\"a}rkefließmittel mit h{\"o}herer Molekularmasse erreichen bei einer Zugabemenge von 0,7 \% ein Plateau. Daraus wird geschlussfolgert, dass die gr{\"o}ßeren Fließmittelmolek{\"u}le einen erh{\"o}hten Platzbedarf erfordern und zur Abs{\"a}ttigung der hydratisierenden Oberfl{\"a}chen bei geringeren Zugabemengen f{\"u}hren. Dar{\"u}ber hinaus konnte gezeigt werden, dass die St{\"a}rkefließmittel mit h{\"o}herer anionischer Ladungsmenge zu h{\"o}heren Adsorptionsmengen auf den Zement-, C3A- und C3S-Partikeln f{\"u}hren. 13. Die Adsorptionsprozesse finden an den ersten gebildeten Hydratphasen der C3A-Partikel statt, wodurch sowohl die Aufl{\"o}sung des C3A als auch die Bildung der Calciumhydroaluminate verlangsamt wird. Dar{\"u}ber hinaus wurde festgestellt, dass die Verlangsamung des freien- und diffusionskontrollierten Hydratphasenwachstums des C3S, durch die Adsorption der St{\"a}rkefließmittel auf den ersten gebildeten CSH-Phasen hervorgerufen wird. Des Weiteren wurde festgestellt, dass sehr kleine zucker{\"a}hnliche Molek{\"u}le in der kurzkettigen Maniokst{\"a}rke in der Lage sind, die Bildung der ersten CSH-Keime zu unterdr{\"u}cken. Dadurch kann die langanhaltende Plateauphase der elektrischen Leitf{\"a}higkeit der C3S-Hydratation erkl{\"a}rt werden. Beurteilung der Porenstruktur- und Festigkeitsausbildung Die Beurteilung der Qualit{\"a}t der Mikrostruktur erfolgte durch die Bestimmung der Rohdichte und der Porenradienverteilung mit Hilfe der Quecksilberhochdruckporosimetrie. Durch das Versetzen der Zementleime mit den St{\"a}rkefließmitteln konnten bei gleichbleibender Verarbeitbarkeit Zementsteinprobek{\"o}rper mit einem um 17,5 \% geringeren w/z-Wert von 0,35 hergestellt werden. Die Absenkung des w/z-Wertes f{\"u}hrt zu einem Anstieg der Rohdichte des Zementsteins. 14. Durch die Zugabe der St{\"a}rkefließmittel und den verringerten w/z-Wert wird die Porenstruktur der Zementsteinproben im Vergleich zum Referenzzementstein verfeinert, da die Gesamtporosit{\"a}t sinkt. Insbesondere der Kapillarporenanteil wird verringert und der Gelporenanteil erh{\"o}ht. Im Unterschied zu den PCE-Fließmitteln f{\"u}hrt die Zugabe der St{\"a}rkefließmittel zu keinem erh{\"o}hten Eintrag von Luftporen. Dies wiederum hat zur Folge, dass bei der Verwendung der St{\"a}rkefließmittel auf Entsch{\"a}umer verzichtet werden kann. 15. Entsprechend der dichteren Zementsteinmatrix wurden f{\"u}r die Zementsteine mit den St{\"a}rkefließmitteln nach 7 d und 28 d, erh{\"o}hte Biegezug- und Druckfestigkeiten ermittelt. Insbesondere die 28 d Druckfestigkeit wurde durch den verringerten w/z-Wert um die Faktoren 3,5 - 6,6 erh{\"o}ht.}, subject = {Bauchemie}, language = {de} }