500 Naturwissenschaften und Mathematik
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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.
Die Festigkeitsentwicklung des Zementbetons basiert auf der chemischen Reaktion des Zementes mit dem Anmachwasser. Durch Nachbehandlungsmaßnahmen muss dafür gesorgt werden, dass dem Zement genügend Wasser für seine Reaktion zur Verfügung steht, da sonst ein Beton mit minderer Qualität entsteht. Die vorliegende Arbeit behandelt die grundsätzlichen Fragen der Betonnachbehandlung bei Anwendung von Straßenbetonen. Im Speziellen wird die Frage des erforderlichen Nachbehandlungsbedarfs von hüttensandhaltigen Kompositzementen betrachtet. Die Wirkung der Nachbehandlung wird anhand des erreichten Frost-Tausalz-Widerstandes und der Gefügeausbildung in der unmittelbaren Betonrandzone bewertet. Der Fokus der Untersuchungen lag auf abgezogenen Betonoberflächen. Es wurde ein Modell zur Austrocknung des jungen Betons erarbeitet. Es konnte gezeigt werden, dass in einer frühen Austrocknung (Kapillarphase) keine kritische Austrocknung der Betonrandzone einsetzt, sondern der Beton annährend gleichmäßig über die Höhe austrocknet. Es wurde ein Nomogramm entwickelt, mit dem die Dauer der Kapillarphase in Abhängigkeit der Witterung für Straßenbetone abgeschätzt werden kann. Eine kritische Austrocknung der wichtigen Randzone setzt nach Ende der Kapillarphase ein. Für Betone unter Verwendung von Zementen mit langsamer Festigkeitsentwicklung ist die Austrocknung der Randzone nach Ende der Kapillarphase besonders ausgeprägt. Im Ergebnis zeigen diese Betone dann einen geringen Frost-Tausalz-Widerstand. Mit Zementen, die eine 2d-Zementdruckfestigkeit ≥ 23,0 N/mm² aufweisen, wurde unabhängig 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. Für die Praxis ergibt sich damit eine einfache Möglichkeit der Vorauswahl von geeigneten Zementen für den Verkehrsflächenbau. 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 flüssigen Nachbehandlungsmitteln (NBM gemäß TL NBM-StB) erreicht eine ähnliche Wirksamkeit wie eine 5 tägige Feuchtnachbehandlung. Voraussetzung für die Wirksamkeit der NBM ist, dass sie auf eine Betonoberfläche ohne sichtbaren Feuchtigkeitsfilm (feuchter Glanz) aufgesprüht werden. Besonders wichtig ist die Beachtung des richtigen Auftragszeitpunktes bei kühler Witterung, da hier aufgrund der verlangsamten Zementreaktion der Beton länger Anmachwasser abstößt. Ein zu früher Auftrag des Nachbehandlungsmittels führt zu einer Verschlechterung der Qualität der Betonrandzone. Durch Bereitstellung hydratationsabhängiger Transportkenngrößen (Feuchtetransport im Beton) konnten numerische Berechnungen zum Zusammenspiel zwischen der Austrocknung, der Nachbehandlung und der Gefügeentwicklung durchgeführt werden. Mit dem erstellten Berechnungsmodell wurden Parameterstudien durchgeführt. Die Berechnungen bestätigen die wesentlichen Erkenntnisse der Laboruntersuchungen. Darüber hinaus lässt sich mit dem Berechnungsmodell zeigen, dass gerade bei langsam reagierenden Zementen und kühler Witterung ohne eine Nachbehandlung eine sehr dünne Randzone (ca. 500 µm – 1000 µm) mit stark erhöhter Kapillarporosität entsteht.
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.
Maturation and Structure Formation Processes in Binders with Aqueous Alkali-Silicate Solutions
(2017)
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.
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.
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.
Ein aktuelles Thema in der Forschung der Betonindustrie ist die gezielte Steuerung des Erstarrens und der Entwicklung der (Früh)Festigkeit von Betonen und Mörteln. Aus ökonomischer Sicht sind außerdem die Reduktion der CO2-Emission und die Schonung von Ressourcen und Energie wichtige Forschungsschwerpunkte. Eine Möglichkeit zum Erreichen dieser Ziele ist es, die Reaktivität/Hydratation der silikatischen Klinkerphasen gezielt anzuregen. Neben den bereits bekannten Möglichkeiten der Hydratationsbeschleunigung (u.a. Wärmebehandlung, 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 fünf 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 Zementleimtemperaturerhöhung erlauben. Mit Hilfe unabhängiger Untersuchungsmethoden (Bestimmung des Erstarrungsbeginns, der Festigkeitsentwicklung, zerstörungsfreier Ultraschallprüfung, isothermer Wärmeflusskalorimetrie, hochauflösender 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 grundsätzlich ein beschleunigtes Erstarren und eine beschleunigte (Früh)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) durchgeführt.
Es ist bekannt, das die Hydratation der Hauptklinkerphase Alit (in der reinen Form Tricalciumsilikat 3CaO*SiO2; C3S) durch Lösungs-/Fällungsreaktionen (Bildung von Calcium-Silikat-Hydrat Phasen, C-S-H Phasen) bestimmt wird. Mit Hilfe von Untersuchungen zur Auflösung (C3S) und Kristallbildung (C-S-H Phasen) in Lösungen und Suspensionen (Aufzeichnung der elektrischen Leitfähigkeit sowie Bestimmung der Ionenkonzentrationen der wässrigen Phase, REM-Charakterisierung der Präzipitate) wurde die Beeinflussung dieser durch eine PUS-Behandlung charakterisiert. Die Ergebnisse zeigen, dass in partikelfreien Lösungen (primäre 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 Oberflächen 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 Lösung (erhöhte 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 Lösung (Suspension) erzielt. Das belegen Ergebnisse, bei denen die Bildung erster C-S-H Phasen bei geringer Übersättigung (heterogene Keimbildung, in Anwesenheit von Oberflächen) erfolgt. Unter diesen Bedingungen konnte gezeigt werden, dass PUS innerhalb der ersten 30 Minuten der Hydratation eine erhöhte Fällung von ersten C-S-H Phasen bewirkt. Diese fungieren dann vermutlich während der Haupthydratation als Keim bzw. geeignete Oberfläche 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 wässriges Medium beschleunigen und damit erhöhte Partikelbewegungen und -kollisionen induziert. Dies wiederum bewirkt, dass die anfänglich auf der C3S-Oberfläche gebildeten C-S-H Phasen teilweise wieder entfernt werden. Damit ist das Inlösunggehen von Ca- und Si-Ionen aus dem C3S weiterhin möglich. Um den genauen Mechanismus weiter zu charakterisieren sollten mit geeigneten Methoden weitere Untersuchungen durchgeführt 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 Entlüften, 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 Homogenität und Dispergierung der CEM I-Suspension erzielt wird. Damit wird für CEM I-Suspensionen unterschiedlichster w/z-Werte eine verbesserte Fließfähigkeit festgestellt. Ergebnisse der Bestimmung von Ausbreitmaßen und Trichterauslaufzeiten zeigen, dass PUS einen direkten Einfluss vor allem auf die Viskosität der CEM I-Suspensionen besitzt. Werden Fließmitteln (FM) der CEM I-Suspension zugegeben, wird nicht in jedem Fall eine verbesserte Fließfähigkeit festgestellt. Hier scheint unter bestimmten Voraussetzungen (w/z-Wert, FM-Gehalt, PUS) die Reaktion zwischen Aluminat- und Sulfatphase des Klinkers gestört. Zur eindeutigen Klärung 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-Hüttensand(HÜS)-Zement-Systemen verifiziert. Dafür
wurden auch in diesem Teil der Arbeit zunächst die optimalen PUS-Parameter festgelegt und der Einfluss auf das Erstarrung- und Erhärtungsverhalten dokumentiert. Untersuchungsmethoden sind unter anderem die Bestimmung des Erstarrungsbeginns und der (Früh)Festigkeitsentwicklung, Temperaturaufzeichnungen und isothermale Wärmeflusskalorimetrie sowie REM. Die Ergebnisse zeigen, dass auch die Reaktion von HÜS-Zementen durch PUS beschleunigt wird. Weiterführende Untersuchungen belegen, dass die erzielte Beschleunigung vorwiegend auf der Beschleunigung der Alitkomponente des CEM I beruht.
Im Fokus der Teile vier und fünf dieser Arbeit stand die Anwendbarkeit der PUS-Technik unter praktischen Bedingungen. Zum einen wurde die Anwendbarkeit von PUS in fertig gemischten Mörteln beurteilt. Anhand des Vergleichs wichtiger Frisch- und Festmörteleigenschaften unterschiedlich hergestellter Mörtel (beschallt im Anschluss an konventionelle Mischtechnik, beschallt im Anschluss an Suspensionsmischtechnik mit anschließender Zumischung der Gesteinskörnung und nicht beschallt) wird gezeigt, dass im Fall von Mörteln mit hohem Leimanteil eine durch PUS induzierte beschleunigte Festigkeitsentwicklung auch mit herkömmlichen Mischabläufen (ohne aufwendige Umstellung des Mischprozesses) möglich 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 größeren Aufwand möglich ist. Dazu wurden in einem ersten Schritt die Frisch- und Festbetoneigenschaften eines aktuell angewendeten selbstverdichtenden Betons im Labormaßstab (Mörtel) in Abhängigkeit einer PUS-Behandlung dokumentiert und mit der seiner unbeschallten Referenz verglichen. Aufgrund der durch PUS verursachten verbesserten Fließ- und Festigkeitseigenschaften kann die beschallte Mörtelrezeptur hinsichtlich Fließmittelgehalt und Dauer der Wärmebehandlung optimiert werden. Somit werden ca. 30 % der Fließmittelzugabe und 40 % der Dauer der Wärmebehandlung eigespart. Eine Einbindung der PUS-Technik in das betrachtete Fertigteilwerk ist nach Überprüfung der konstruktiven Gegebenheiten der Fertigungsstrukturen ohne größeren Aufwand möglich.
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 .
Die thermodynamischen Grundlagen der Hydratation von Hüttensand als Hauptbestandteil von Zementen werden erforscht. Hierbei werden thermodynamische Bildungs- und Reaktionsdaten experimentell bestimmt und berechnet. Darüber hinaus wird der Prozess der Feststoffauflösung von Hüttensand in wässrigen Lösungen untersucht. Lösungs- und Fällungsprozesse werden unter verschiedenen Konditionen gemessen, ausgewertet und diskutiert. Die Ergebnisse werden im weiteren Verlauf zur Bestimmung der Hydratationsgrades in Pasten sowie zum besseren Verständnis in der Wechselwirkung zwischen Hüttensanden und Mahlhilfsstoffen genutzt und angewandt.
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.
Problem definition and research objectives
1. The production of Portland cement clinker causes approx. 5% to 8% of the annual man-made CO2 emissions. This is due to the usage of mainly fossil fuel (approx. 40 % of the total CO2) and because of the decarbonation of limestone as a main component of the raw meal (approx. 60 % of the total CO2).
2. Various strategies are applied in order to reduce the green-house gas-emissions, such as optimizing the process of clinker production, the use of alternative fuel and the partial substitution of the clinker in blended cement by so-called SCM (supplementary cementitious materials). Hereby blast-furnace slag, fly ash and limestone are the most used materials.
3. Quaternary systems containing three SCM simultaneously besides Portland cement contribute to the reduction of CO2 emissions due to the decrease of the clinker content. In addition, such systems allow to use blast-furnace slag and fly ash in the most economical way and provide the possibility to account for shortages of SCM on the market.
4. Blast-furnace slag and fly ash show similarities in their principal chemical compositions such that similar hydrates are formed during their reaction in presence of Portland cement. Compared to ternary systems based on blast-furnace slag or fly ash besides limestone, quaternary systems that contain both, blast-furnace slag and fly ash, simultaneously besides limestone, are expected to perform similar in terms of phase assemblage and strength development.
5. The use of SCM as cement replacing materials is limited due to their generally slower reaction compared to neat cement which also leads to lower strength development, especially in the early stage of the hydration up to 28 d. To account for this it is necessary to study the reactivity of SCM such as blast-furnace slag and fly ash in detail in order to develop strategies to enhance the reactivity and thereby the strength development of SCM-containing systems.
6. The early hydration of clinker phases is studied in detail, mainly in diluted systems. It is unclear if processes that were found to control the reaction of such model systems are also prevailing in concentrated cement pastes under realistic water-to-solid ratios. Deeper insight to this aspect is needed to better understand interactions of neat Portland cement and SCM in the first hours of hydration.
State-of-the-art
7. Increasing Ca-concentrations lead to decreasing dissolution rates of C3S and C2S in diluted systems.
8. The hydration kinetics of C3S is controlled by the interplay of undersaturation with respect to C3S and oversaturation with respect to C-S-H.
9. Increasing Al-concentrations lead to a retardation of the hydration of C3S. It is unclear if the uptake of aluminum in C-S-H to form C-(A)-S-H which has a significantly lower growth rate than pure C-S-H or a retarding effect of Al on the dissolution of C3S causes this phenomenon.
10. The surface of limestone provides excellent conditions for the nucleation and growth of C-S-H such that significantly more C-S-H nuclei are formed in presence of limestone compared to other SCM.
11. The reactivity of blast-furnace slag and fly ash depends on the particle size as well as on the intrinsic reactivity of especially the amorphous phases.
12. An increase in network modifying oxides (e.g. CaO) in the chemical composition of amorphous (calcium)aluminosilicates leads to an increasingly depolymerized network which in turn causes increasing reactivity. The role of amphoteric oxides (Al2O3, Fe2O3) that can be present as network modifying oxides as well as network forming oxides is not completely solved.
13. CO2-containing AFm-phases are thermodynamically more stable than monosulfoaluminate. This indirectly stabilizes the voluminous ettringite which causes a higher total volume of hydrates and lower porosity whereby higher compressive strength is reached.
14. Only a few percent of limestone in blended cement reacts chemically dependent on the Al2O3 available for reaction. Al2O3 that is provided by the reaction of Portland cement but also by the dissolution of SCM, especially by fly ash, reacts to form hemicarboaluminate which is transformed to monocarboaluminate as the hydration proceeds.
Methodology
15. The influence of SCM on the early hydration of Portland cement in binary (including blast-furnace slag or fly ash or limestone or quartz) and ternary (including fly ash and limestone) systems was investigated applying isothermal calorimetry and analysis of the pore solution chemistry. Calculated saturation indices and solubility products of relevant phases were correlated with heat development. Based on the gained data it was reviewed if mechanisms that control the hydration of pure phases in diluted systems are also prevailing in cement pastes under realistic conditions.
16. The influence of the chemical composition of synthetic glasses on their dissolution at high pH was investigated in highly diluted systems using ion chromatography. Pozzolanity tests were conducted on pastes using simplified model systems and glass-blended Portland cements. The process of the glass dissolution was investigated by isothermal calorimetry and by thermogravimetry. Correlation of experimentally determined total bound water with bound water determined by mass balance calculations as a function of amount of glass reacted allowed to estimate the degree of glass reaction in the pastes. Further on selective dissolution experiments were carried out to crosscheck the results of the bound water/mass balance approach.
17. The reaction kinetics of quaternary pastes containing blast-furnace slag and fly ash simultaneously in the presence of limestone were investigated up to 28 d using isothermal calorimetry and chemical shrinkage measurements. In addition strength tests on mortar bars were carried out.
18. Pastes of quaternary blends were also investigated in terms of hydrate assemblage at ages of up to 182 d. Thermodynamic calculations regarding total volume of hydrates as a function of limestone and fly ash/blast-furnace slag content were conducted. The calculations were supported by thermogravimetric determination of bound water and portlandite content as well as qualitative X-ray diffraction. The results were correlated with strength tests on mortar bars.
19. The pore solutions of hydrated quaternary blends were extracted and investigated by means of ion chromatography at ages of up to 728 d. Based on the ion concentrations in the solutions saturation indices were calculated for relevant phases. In order to gain better insight to the blast-furnace slag reaction sulphate speciation was carried out at two blast furnace slag levels (20 and 30 wt.%) for selected samples up to 91 d of hydration and at 91 d for the whole matrix under investigation.
Main results
20. Investigations on the early hydration kinetics of binary systems showed a higher heat flow in presence of SCM compared to neat Portland cement. This is caused by the higher surface area that is available for the nucleation of hydrates and by the lower (over)saturation with respect to C-S-H. An increase in the Ca-concentration in the pore solution did not cause lower dissolution rates of C3S as was reported for pure phases in diluted systems. The highest dissolution was observed in the presence of limestone, i.e. at the highest Ca-concentration. The general trend of the reaction rate is inversely related to the degree of undersaturation with respect to C3S. The more undersaturated the faster the observed reaction. The presence of increasing Al-concentrations caused a retardation of the reaction which is in line with investigations on pure phases in diluted systems. Higher sulphate concentrations could be detected for the fly ash containing blend which possibly hindered ettringite precipitation and results in higher Al-concentrations. Correspondingly the low sulphate concentrations lead to lower Al-concentrations in the presence of quartz, blast-furnace slag and limestone compared to fly ash.
21. The early hydration kinetics of quaternary systems is significantly accelerated in the presence of limestone while fly ash leads to retardation. Compared to reference systems containing inert quartz, investigations by means of isothermal calorimetry and chemical shrinkage revealed an acceleration caused by blast-furnace slag. Additions of fly ash, limestone or mixtures thereof introduced another acceleration but differences are too small to be significant and clear distinguishing between the various SCM is not possible.
22. Investigations on the reactivity of synthetic glasses showed that increasing amounts of network modifying oxides caused an increase in reactivity and dissolution rates. The results reveal that Al2O3 acts mainly as network modifying oxide in all investigated glasses. Experimentally determined bound water (thermogravimetric experiments) in model systems and blended cements can be compared with bound water determined by mass balance calculations carried out as a function of the amount of glass reacted. This enables to estimate the degree of glass reaction.
23. The actual content of blast-furnace slag, fly ash or limestone does not exert significant influence on the development of compressive strength up to 7 d. At later ages thermodynamic calculations predict a degree of CaCO3 reaction of 2 to 5 wt.%. This leads to the formation of hemicarbonate and monocarbonate whereby ettringite is indirectly stabilized. As a result the total amount of solids is increased and compressive strength shows a slight maximum. Hereby the degree of CaCO3 reaction depends on the Al2O3 available for reaction which is not only provided by the dissolution of Portland cement but especially by the dissolution of the fly ash.
24. In general the presence of blast-furnace slag and fly ash in the presence of limestone exerts little influence on the hydrate assemblage. The substitution of some of the blast-furnace slag by fly ash leads to a slight decrease of portlandite and C-S-H and gives rise to the formation of more monocarbonate and hemicarbonate. Portlandite is consumed in a pozzolanic reaction with the fly ash whereby C-S-H is formed. However, the low reactivity of the fly ash causes a decrease in the amount of C-S-H formed. Thereby a lower total volume of hydrates is generated which is in line with slightly lower compressive strength in case of increasing fly ash content. The overall influence is small and all systems investigated reach strength class 42.5 N according to EN 196-1.
25. Corresponding to the investigations of the hydrate assemblage the pore solution chemistry of quaternary systems showed only small variations. Depending on the fly ash content the highest variations are observed for aluminium, i.e. increasing fly ash content leads to higher Al-concentrations. Another effect of increasing fly ash contents is an increasing undersaturation with respect to portlandite and a decreasing undersaturation with respect to strätlingite indicating the dissolution of portlandite.
26. The total concentration of sulfur in the pore solution is controlled by sulphate (SO42–) while the concentrations of sulphite (SO32–) and thiosulphate (S2O32–) were very low. Up to 2 d of hydration about 90 % of the total sulphur is present as SO42–. After 91 d this value is reduced to about 36 % while about 28 % are present as S2O32–. In general higher blast-furnace slag content leads to higher concentrations of sulphite and thiosulphate after 7 d.
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.
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.
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.
Bentonite sind quellfähige Tone, die häufig in der Umwelttechnik (in Abdichtungsbauwerken oder in der Bodensanierung) eingesetzt werden. Ziel der Arbeit war die Klärung, wie eine unterschiedliche Kationenbelegung mit Cu2+ und NH4+ die Eigenschaften der Bentonite bei Raumtemperatur und nach moderater Wärmebehandlung (300 – 450°C) beeinflusst. Im Blickpunkt stand insbesondere die gleichzeitige Präsenz von Kupfer- und Ammoniumionen, die als Vertreter für häufig auftretende Inhaltsstoffe von Wässern in der Umgebung von technischen Bentoniten ausgewählt wurden.
Die Untersuchungen zur Cu2+-Sorption bei Raumtemperatur und nach moderater Wärmebehandlung (300 – 450°C) erfolgten an Pulverproben von zwei technischen Bentoniten, die sich in der ursprünglichen Kationenbelegung, Art und Anteil an Nebengemengteilen, sowie der Schichtladungsverteilung in den Montmorilloniten unterscheiden. Vor der Wärmebehandlung wurden die Bentonite durch Kontakt mit verschieden konzentrierten Kupfer- und Ammoniumlösungen mit unterschiedlichen Gehalten der Kationen Cu2+, NH4+, Na+, Ca2+, Mg2+ belegt.
Der Eintrag von Kupferionen in die Bentonite durch Kationenaustausch bei Raumtemperatur wurde erwartungsgemäß durch präsente Nebengemengteile (wie Carbonat) beeinflusst, so dass die Kupferionen zusätzlich spezifisch adsorbiert und in festen Phasen angereichert wurden.
Die Cu2+-Fixierung infolge der Wärmebehandlung wurde vom Cu2+-Totalgehalt in den Bentoniten, der Präsenz 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 während der Wärmebehandlung neben Cu2+-Ionen gleichzeitig NH4+-Ionen in den Bentoniten präsent, konnte die Cu2+-Fixierungstemperatur herabgesetzt werden. Die Deammonisierung (NH4+ --> NH3 + H+) der NH4+-belegten Bentonite fand größtenteils 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 Wärmebehandlung 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 zusätzlichen Strukturänderungen (wie Auflösung der Oktaederschicht) infolge der Wärmebehandlung auf.
Eine der jüngsten 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 fördern sowohl kognitive, als auch affektive
und psychomotorische Kompetenzen. Aus diesem Grund werden seit Jahrzehnten digitale Spiele in der Pädagogik eingesetzt, um ihre Motivationskraft zu nutzen, um Lerneffekte zu erzielen.
Ziel dieser Arbeit ist es Spielmechaniken für ein bauphysikalisches Social Game zu entwickeln. Ausgehend von der Identifikation von Spielmechaniken, basierend auf einer Analyse der Funktionsweisen existierender populärer Social Games, und einem grundlegenden pädagogischen Verständnis bezüglich Digital Game Based Learning (DGBL), werden Spielmechaniken entwickelt, mit deren Hilfe bauphysikalische Fachkompetenzen vermittelt werden können.