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Aktuell findet aufgrund gesellschaftspolitischer Forderungen in vielen Industriezweigen ein Umdenken in Richtung Effizienz und Ökologie aber auch Digitalisierung und Industrie 4.0 statt. In dieser Hinsicht steht die Bauindustrie, im Vergleich zu Industrien wie IT, Automobil- oder Maschinenbau, noch am Anfang.
Dabei sind die Potentiale zur Einsparung und Optimierung gerade in der Bauindustrie aufgrund der großen Mengen an zu verarbeiteten Materialien besonders hoch. Die internationale Ressourcen- und Klimadebatte führt verstärkt dazu, dass auch in der Zement- und Betonherstellung neue Konzepte erstellt und geprüft werden. Einerseits erfolgt intensive Forschung und Entwicklung im Bereich alternativer, klimafreundlicher Zemente. Andererseits werden auch auf Seiten der Betonherstellung innovative materialsparende Konzepte geprüft, wie die aktuelle Entwicklung von 3D-Druck mit Beton zeigt.
Aufgrund der hohen Anforderungen an Konstruktion, Qualität und Langlebigkeit von Bauwerken, besitzen Betonfertigteile oftmals Vorteile gegenüber Ortbeton. Die hohe Oberflächenqualität und Dauerhaftigkeit aber auch die Gleichmäßigkeit und witterungsunabhängige Herstellung sind Merkmale, die im Zusammenhang mit Betonfertigteilen immer wieder erwähnt werden. Dabei ist es essenziell, dass auch der Betonherstellungsprozess im Fertigteilwerk kritisch hinterfragt wird, damit eine effizientere und nachhaltigere Produktion von Betonfertigteilen möglich wird.
Bei der Herstellung von Betonteilen im Fertigteilwerk liegt ein besonderer Fokus auf der Optimierung der Frühfestigkeitsentwicklung. Hohe Frühfestigkeiten sind Voraussetzung für einen hochfrequenten Schalungszyklus, was Arbeiten im 2- bzw. 3-Schichtbetrieb ermöglicht. Oft werden zur Sicherstellung hoher Frühfestigkeiten hochreaktive Zemente in Kombination mit hohen Zementgehalten im Beton und/oder einer Wärmebehandlung eingesetzt. Unter dieser Prämisse ist eine ökologisch nachhaltige Betonproduktion mit verminderter CO2 Bilanz nicht möglich.
In der vorliegenden Arbeit wird ein neues Verfahren zur Beschleunigung von Beton eingeführt. Hierbei werden die Bestandteile Zement und Wasser (Zementsuspension) mit Ultraschall vorbehandelt. Ausgangspunkt der Arbeit sind vorangegangene Untersuchungen zum Einfluss von Ultraschall auf die Hydration von Zement bzw. dessen Hauptbestandteil Tricalciumsilikat (C3S), die im Rahmen dieser Arbeit weiter vertieft werden. Darüber hinaus wird die Produktion von Beton mit Ultraschall im Technikumsmaßstab betrachtet. Die so erlangten Erfahrungen dienten dazu, das Ultraschall-Betonmischsystem weiterzuentwickeln und erstmalig zur industriellen Betonproduktion zu nutzen.
In der vorliegenden Arbeit werden die Auswirkungen von Ultraschall auf die Hydratation von C3S zunächst weitergehend und grundlegend untersucht. Dies erfolgte mittels Messung der elektrischen Leitfähigkeit, Analyse der Ionenkonzentration (ICP-OES), Thermoanalyse, Messung der BET-Oberfläche sowie einer optischen Auswertung mittels Rasterelektronenmikroskopie (REM). Der Fokus liegt auf den ersten Stunden der Hydratation, also der Zeit, die durch die Ultraschallbehandlung am stärksten beeinflusst wird.
In den Untersuchungen zeigt sich, dass die Beschleunigungswirkung von Ultraschall in verdünnten C3S Suspensionen (w/f-Wert = 50) stark von der Portlanditkonzentration der Lösung abhängt. Je niedriger die Portlanditkonzentration, desto größer ist die Beschleunigung. Ergänzende Untersuchungen der Ionenkonzentration der Lösung sowie Untersuchungen am hydratisierten C3S zeigen, dass unmittelbar nach der Beschallung (nach ca. 15 Minuten Hydratation) erste Hydratphasen vorliegen. Die durch Ultraschall initiiere Beschleunigung ist in den ersten 24 Stunden am stärksten und klingt dann sukzessive ab. Die Untersuchungen schließen mit Experimenten an C3S-Pasten (w/f-Wert = 0,50), die die Beobachtungen an den verdünnten Suspensionen bestätigen und infolge der Beschallung ein früheres Auftreten und einen größeren Anteil an C-S-H Phasen zeigen. Es wird gefolgert, dass die unmittelbar infolge von Ultraschall erzeugten C-S-H Phasen als Kristallisationskeim während der folgenden Reaktion dienen und daher Ultraschall als in-situ Keimbildungstechnik angesehen werden kann. Optisch zeigt sich, dass die C-S-H Phasen der beschallten Pasten nicht nur viel früher auftreten, sondern kleiner sind und fein verteilt über die Oberfläche des C3S vorliegen. Auch dieser Effekt wird als vorteilhaft für den sich anschließenden regulären Strukturaufbau angesehen.
Im nächsten Schritt wird daher der Untersuchungsfokus vom Modellsystem mit C3S auf Portlandzement erweitert. Hierbei wird der Frage nachgegangen, wie sich eine Änderung der Zusammensetzung der Zementsuspension (w/z-Wert, Fließmittelmenge) beziehungsweise eine Änderung des Ultraschallenergieeintrag auf die Fließeigenschaften und das Erhärtungsverhalten auswirken.
Um den Einfluss verschiedener Faktoren gleichzeitig zu betrachten, werden mit Hilfe von statistischen Versuchsplänen Modelle erstellt, die das Verhalten der einzelnen Faktoren beschreiben. Zur Beschreibung der Fließeigenschaften wurde das Setzfließ- und Ausbreitmaß von Zementsuspensionen herangezogen. Die Beschleunigung der Erhärtung wurde mit Hilfe der Ermittlung des Zeitpunkts des normalen Erstarrens der Zementsuspension bestimmt.
Die Ergebnisse dieser Untersuchungen zeigen deutlich, dass die Fließeigenschaften und der Erstarrungsbeginn nicht linear mit steigendem Ultraschall-Energieeintrag verändert werden. Es zeigt sich, dass es besonders bei den Verarbeitungseigenschaften der Portlandzementsuspensionen zur Ausbildung eines spezifischen Energieeintrages kommt, bis zu welchem das Setzfließ- und das Ausbreitmaß erhöht werden. Bei Überschreiten dieses Punktes, der als kritischer Energieeintrag definiert wurde, nimmt das Setzfließ- und Ausbreitmaß wieder ab. Das Auftreten dieses Punktes ist im besonderen Maße abhängig vom w/z-Wert. Mit sinkendem w/z-Wert wird der Energieeintrag, der eine Verbesserung der Fließeigenschaften hervorruft, reduziert. Bei sehr niedrigen w/z-Werten (< 0,35), kann keine Verbesserung mehr beobachtet werden.
Wird Fließmittel vor der Beschallung zur Zementsuspension zugegeben, können die Eigenschaften der Zementsuspension maßgeblich beeinflusst werden. In beschallten Suspensionen mit Fließmittel, konnte in Abhängigkeit des Energieeintrages die fließmittelbedingte Verzögerung des Erstarrungsbeginns deutlich reduziert werden. Weiterhin zeigt sich, dass der Energieeintrag, der notwendig ist um den Erstarrungsbeginn um einen festen Betrag zu reduzieren, bei Suspensionen mit Fließmittel deutlich reduziert ist.
Auf Grundlage der Beobachtungen an Zementsuspensionen wird der Einfluss von Ultraschall in einen dispergierenden und einen beschleunigenden Effekt unterteilt. Bei hohen w/z-Werten dominiert der dispergierende Einfluss von Ultraschall und der Erstarrungsbeginn wird moderat verkürzt. Bei niedrigeren w/z-Werten der Zementsuspension, dominiert der beschleunigende Effekt wobei kein oder sogar ein negativer Einfluss auf die Verarbeitungseigenschaften beobachtet werden kann.
Im nächsten Schritt werden die Untersuchungen auf den Betonmaßstab mit Hilfe einer Technikumsanlage erweitert und der Einfluss eines zweistufigen Mischens (also dem Herstellen einer Zementsuspension im ersten Schritt und dem darauffolgenden Vermischen mit der Gesteinskörnung im zweiten Schritt) mit Ultraschall auf die Frisch- und Festbetoneigenschaften betrachtet. Durch die Anlagentechnik, die mit der Beschallung größerer Mengen Zementsuspension einhergeht, kommen weitere Einflussfaktoren auf die Zementsuspension hinzu (z. B. Pumpgeschwindigkeit, Temperatur, Druck). Im Rahmen der Untersuchungen wurde eine Betonrezeptur mit und ohne Ultraschall hergestellt und die Frisch- und Festbetoneigenschaften verglichen. Darüber hinaus wurde ein umfangreiches Untersuchungsprogramm zur Ermittlung wesentlicher Dauerhaftigkeitsparameter durchgeführt. Aufbauend auf den Erfahrungen mit der Technikumsanlage wurde das Ultraschall-Vormischsystem in mehreren Stufen weiterentwickelt und abschließend in einem Betonwerk zur Betonproduktion verwendet.
Die Untersuchungen am Beton zeigen eine deutliche Steigerung der Frühdruckfestigkeiten des Portlandzementbetons. Hierbei kann die zum Entschalen von Betonbauteilen notwendige Druckfestigkeit von 15 MPa deutlich früher erreicht werden. Das Ausbreitmaß der Betone (w/z-Wert = 0,47) wird infolge der Beschallung leicht reduziert, was sich mit den Ergebnissen aus den Untersuchungen an reinen Zementsuspensionen deckt. Bei Applikation eines Überdruckes in der Beschallkammer oder einer Kühlung der Suspension während der Beschallung, kann das Ausbreitmaß leicht gesteigert werden. Allerdings werden die hohen Frühdruckfestigkeiten der ungekühlten beziehungsweise drucklosen Variante nicht mehr erreicht.
In den Untersuchungen kann gezeigt werden, dass das Potential durch die Ultraschall-Beschleunigung genutzt werden kann, um entweder die Festigkeitsklasse des Zementes leitungsneutral zu reduzieren (von CEM I 52,5 R auf CEM I 42,5 R) oder eine 4-stündige Wärmebehandlung vollständig zu substituieren. Die Dauerhaftigkeit der Betone wird dabei nicht negativ beeinflusst. In den Untersuchungen zum Sulfat-, Karbonatisierung-, Chlorideindring- oder Frost/Tauwiderstand kann weder ein positiver noch ein negativer Einfluss durch die Beschallung abgeleitet werden. Ebenso kann in einer Untersuchung zur Alkali-Kieselsäure-Reaktion kein negativer Einfluss durch die Ultraschallbehandlung beobachtet werden.
In den darauf aufbauenden Untersuchungen wird die Anlagentechnik weiterentwickelt, um die Ultraschallbehandlung stärker an eine reale Betonproduktion anzupassen. In der ersten Iterationsstufe wird das in den Betonuntersuchungen verwendete Anlagenkonzept 1 modifiziert (von der In-line-Beschallung zur Batch-Beschallung) und als Analgenkonzept 2 für weitere Untersuchungen genutzt. Hierbei wird eine neue Betonrezeptur mit höherem w/z-Wert (0,52) verwendet, wobei die Druckfestigkeiten ebenfalls deutlich gesteigert werden können. Im Gegensatz zum ersten Beton, wird das Ausbreitmaß dieser Betonzusammensetzung gesteigert, was zur Reduktion von Fließmittel genutzt wird. Dies deckt sich ebenfalls mit den Beobachtungen an reinen Portlandzementsuspensionen, wo eine deutliche Verbesserung der Fließfähigkeit bei höheren w/z-Werten beschrieben wird.
Für diese Betonrezeptur wird ein Vergleich mit einem kommerziell erhältlichen Erhärtungsbeschleuniger (synthetische C-S-H-Keime) angestellt. Hierbei zeigt sich, dass die Beschleunigungswirkung beider Technologien vergleichbar ist. Eine Kombination beider Technologien führt zu einer weiteren deutlichen Steigerung der Frühfestigkeiten, so dass hier von einem synergistischen Effekt ausgegangen werden kann.
In der letzten Iterationsstufe, dem Anlagenkonzept 3, wird beschrieben, wie das Mischsystem im Rahmen einer universitären Ausgründung signifikant weiterentwickelt wird und erstmals in einem Betonwerk zur Betonproduktion verwendet wird. Bei den Überlegungen zur Weiterentwicklung des Ultraschall-Mischsystems wird der Fokus auf die Praktikabilität gelegt und gezeigt, dass das ultraschallgestütze Mischsystem die Druckfestigkeitsentwicklung auch im Werksmaßstab deutlich beschleunigen kann. Damit ist die Voraussetzung für eine ökologisch nachhaltige Optimierung eines Fertigteilbetons unter realen Produktionsbedingungen geschaffen worden.
Biomembranes are selectively permeable barriers that separate the internal components of the cell from its surroundings. They have remarkable mechanical behavior which is characterized by many phenomena, but most noticeably their fluid-like in-plane behavior and solid-like out-of-plane behavior. Vesicles have been studied in the context of discrete models, such as Molecular Dynamics, Monte Carlo methods, Dissipative Particle Dynamics, and Brownian Dynamics. Those methods, however, tend to have high computational costs, which limited their uses for studying atomistic details. In order to broaden the scope of this research, we resort to the continuum models, where the atomistic details of the vesicles are neglected, and the focus shifts to the overall morphological evolution. Under the umbrella of continuum models, vesicles morphology has been studied extensively. However, most of those studies were limited to the mechanical response of vesicles by considering only the bending energy and aiming for the solution by minimizing the total energy of the system. Most of the literature is divided between two geometrical representation methods; the sharp interface methods and the diffusive interface methods. Both of those methods track the boundaries and interfaces implicitly. In this research, we focus our attention on solving two non-trivial problems. In the first one, we study a constrained Willmore problem coupled with an electrical field, and in the second one, we investigate the hydrodynamics of a vesicle doublet suspended in an external viscous fluid flow.
For the first problem, we solve a constrained Willmore problem coupled with an electrical field using isogeometric analysis to study the morphological evolution of vesicles subjected to static electrical fields. The model comprises two phases, the lipid bilayer, and the electrolyte. This two-phase problem is modeled using the phase-field method, which is a subclass of the diffusive interface methods mentioned earlier. The bending, flexoelectric, and dielectric energies of the model are reformulated using the phase-field parameter. A modified Augmented-Lagrangian (ALM) approach was used to satisfy the constraints while maintaining numerical stability and a relatively large time step. This approach guarantees the satisfaction of the constraints at each time step over the entire temporal domain.
In the second problem, we study the hydrodynamics of vesicle doublet suspended in an external viscous fluid flow. Vesicles in this part of the research are also modeled using the phase-field model. The bending energy and energies associated with enforcing the global volume and area are considered. In addition, the local inextensibility condition is ensured by introducing an additional equation to the system. To prevent the vesicles from numerically overlapping, we deploy an interaction energy definition to maintain a short-range repulsion between the vesicles. The fluid flow is modeled using the incompressible Navier-Stokes equations and the vesicle evolution in time is modeled using two advection equations describing the process of advecting each vesicle by the fluid flow. To overcome the velocity-pressure saddle point system, we apply the Residual-Based Variational MultiScale (RBVMS) method to the Navier-Stokes equations and solve the coupled systems using isogeometric analysis. We study vesicle doublet hydrodynamics in shear flow, planar extensional flow, and parabolic flow under various configurations and boundary conditions.
The results reveal several interesting points about the electrodynamics and hydrodynamics responses of single vesicles and vesicle doublets. But first, it can be seen that isogeometric analysis as a numerical tool has the ability to model and solve 4th-order PDEs in a primal variational framework at extreme efficiency and accuracy due to the abilities embedded within the NURBS functions without the need to reduce the order of the PDE by creating an intermediate environment. Refinement whether by knot insertion, order increasing or both is far easier to obtain than traditional mesh-based methods. Given the wide variety of phenomena in natural sciences and engineering that are mathematically modeled by high-order PDEs, the isogeometric analysis is among the most robust methods to address such problems as the basis functions can easily attain high global continuity.
On the applicational side, we study the vesicle morphological evolution based on the electromechanical liquid-crystal model in 3D settings. This model describing the evolution of vesicles is composed of time-dependent, highly nonlinear, high-order PDEs, which are nontrivial to solve. Solving this problem requires robust numerical methods, such as isogeometric analysis. We concluded that the vesicle tends to deform under increasing magnitudes of electric fields from the original sphere shape to an oblate-like shape. This evolution is affected by many factors and requires fine-tuning of several parameters, mainly the regularization parameter which controls the thickness of the diffusive interface width. But it is most affected by the method used for enforcing the constraints. The penalty method in presence of an electrical field tends to lock on the initial phase-field and prevent any evolution while a modified version of the ALM has proven to be sufficiently stable and accurate to let the phase-field evolve while satisfying the constraints over time at each time step. We show additionally the effect of including the flexoelectric nature of the Biomembranes in the computation and how it affects the shape evolution as well as the effect of having different conductivity ratios. All the examples were solved based on a staggered scheme, which reduces the computational cost significantly.
For the second part of the research, we consider vesicle doublet suspended in a shear flow, in a planar extensional flow, and in a parabolic flow. When the vesicle doublet is suspended in a shear flow, it can either slip past each other or slide on top of each other based on the value of the vertical displacement, that is the vertical distance between the center of masses between the two vesicles, and the velocity profile applied. When the vesicle doublet is suspended in a planar extensional flow in a configuration that resembles a junction, the time in which both vesicles separate depends largely on the value of the vertical displacement after displacing as much fluid from between the two vesicles. However, when the vesicles are suspended in a tubular channel with a parabolic fluid flow, they develop a parachute-like shape upon converging towards each other before exiting the computational domain from the predetermined outlets. This shape however is affected largely by the height of the tubular channel in which the vesicle is suspended. The velocity essential boundary conditions are imposed weakly and strongly. The weak implementation of the boundary conditions was used when the velocity profile was defined on the entire boundary, while the strong implementation was used when the velocity profile was defined on a part of the boundary. The strong implementation of the essential boundary conditions was done by selectively applying it to the predetermined set of elements in a parallel-based code. This allowed us to simulate vesicle hydrodynamics in a computational domain with multiple inlets and outlets. We also investigate the hydrodynamics of oblate-like shape vesicles in a parabolic flow. This work has been done in 2D configuration because of the immense computational load resulting from a large number of degrees of freedom, but we are actively seeking to expand it to 3D settings and test a broader set of parameters and geometrical configurations.
Diese Arbeit soll einen Beitrag zum Neuen Steuerungsmodell der Öffentlichen Verwaltung auf staatlicher Ebene in Deutschland leisten. Sie dient der Untersuchung zum Aufbau eines ökonomischen Modells zur Koordination von Dienstliegenschaften auf staatlicher Ebene.
Die Untersuchung der Dienstliegenschaften zeigt, dass diese eine interne Dienstbarkeit des Staates als Wirtschaftssubjekt an den Staat als Hoheitsträger fingieren.
Die Untersuchung der Liegenschaftsverwaltung belegt, dass sie vor allem ein Controlling-Instrument für den Informationsfluss zu Entscheidungen über Dienstliegenschaften zwischen dem Hoheitsträger und dem Wirtschaftssubjekt darstellt.
Die Untersuchung der Transaktionskosten beweist, dass eine Koordination am effizientesten über die eigene Organisation mittels dezentraler Aufgabenkonzentration in Form eines SSC erreicht werden kann.
Die Untersuchung der Handlungs- und Verfügungsrechte ergab, dass die Verfügungsrechte an den Dienstliegenschaften weiter den Ressorts bzw. Nutzern obliegen. Allein das Handlungsrecht der Aufgabenwahrnehmung ist an die Liegenschaftsverwaltung übergegangen.
Die Untersuchung der Prinzipal-Agent-Verhältnisse teilt der Liegenschaftsverwaltung die Rolle eines Erfüllungsgehilfen des Wirtschaftssubjektes zu. Die monetäre Abwicklung der Ge-schäfte zwischen dem Wirtschaftssubjekt und dem Hoheitsträger obliegt als zuarbeitende Organisationseinheit ohne eigene Entscheidungsgewalt der Liegenschaftsverwaltung.
Aus diesen Thesen ergeben sich monetäre Handlungsmöglichkeiten, die in den Aufbau des Modells einfließen. Es rückt das Wirtschaftssubjekt als Entscheidungsträger über den Ressourceneinsatz in den Mittelpunkt der Betrachtung. Der Hoheitsträger ist hierbei nur der Forderungsberechtigte an das Wirtschaftssubjekt und die Liegenschaftsverwaltung dessen immobilienwirtschaftlicher Vertreter.
Diese Konstellation berücksichtigend erfolgt dem Credo des NPM gemäß die Beschreibung des Modells und des institutionellen Arrangements nach den gängigen Modellen aus der Privatwirtschaft. Anhand der Untersuchungsergebnisse wird eine Liegenschaftsverwaltung skizziert, welche einerseits den tatsächlichen betriebswirtschaftlichen Anforderungen der Immobilienwirtschaft und andererseits den Gegebenheiten des haushaltswirtschaftlichen Umfeldes der öffentlichen Verwaltung gerecht werden kann.
Das aufgebaute Realmodell dient gleichzeitig dem Vergleich mit dem bestehenden und in der Praxis angewandten Mieter-Vermieter-Modell als Idealmodell. Der Vergleich zeigt, dass sich aus der Untersuchung zivilrechtlicher Institutionen zwar kein schuldrechtliches, wohl aber ein dingliches Recht ableiten lässt. Damit einher geht die Vermutung, dass es sich bei dem Mieter-Vermieter-Modell im staatlichen Bereich um einen Fall von Modellplatonismus handelt.
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 Bézier 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 Bézier 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 Bézier 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 Bézier 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.
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.
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.
The reduction of the cement clinker content is an important prerequisite for the improvement of the CO2-footprint of concrete. Nevertheless, the durability of such concretes must be sufficient to guarantee a satisfactory service life of structures. Salt frost scaling resistance is a critical factor in this regard, as it is often diminished at increased clinker substitution rates. Furthermore, only insufficient long-term experience for such concretes exists. A high salt frost scaling resistance thus cannot be achieved by applying only descriptive criteria, such as the concrete composition. It is therefore to be expected, that in the long term a performance based service life prediction will replace the descriptive concept.
To achieve the important goal of clinker reduction for concretes also in cold and temperate climates it is important to understand the underlying mechanisms for salt frost scaling. However, conflicting damage theories dominate the current State of the Art. It was consequently derived as the goal of this thesis to evaluate existing damage theories and to examine them experimentally. It was found that only two theories have the potential to describe the salt frost attack satisfactorily – the glue spall theory and the cryogenic suction theory.
The glue spall theory attributes the surface scaling to the interaction of an external ice layer with the concrete surface. Only when moderate amounts of deicing salt are present in the test solution the resulting mechanical properties of the ice can cause scaling. However, the results in this thesis indicate that severe scaling also occurs at deicing salt levels, at which the ice is much too soft to damage concrete. Thus, the inability of the glue spall theory to account for all aspects of salt frost scaling was shown.
The cryogenic suction theory is based on the eutectic behavior of salt solutions, which consist of two phases – water ice and liquid brine – between the freezing point and the eutectic temperature. The liquid brine acts as an additional moisture reservoir, which facilitates the growth of ice lenses in the surface layer of the concrete. The experiments in this thesis confirmed, that the ice formation in hardened cement paste increases due to the suction of brine at sub-zero temperatures. The extent of additional ice formation was influenced mainly by the porosity and by the chloride binding capacity of the hardened cement paste.
Consequently, the cryogenic suction theory plausibly describes the actual generation of scaling, but it has to be expanded by some crucial aspects to represent the salt frost scaling attack completely. The most important aspect is the intensive saturation process, which is ascribed to the so-called micro ice lens pump. Therefore a combined damage theory was proposed, which considers multiple saturation processes. Important aspects of this combined theory were confirmed experimentally.
As a result, the combined damage theory constitutes a good basis to understand the salt frost scaling attack on concrete on a fundamental level. Furthermore, a new approach was identified, to account for the reduced salt frost scaling resistance of concretes with reduced clinker content.
In recent years, lightweight materials, such as polymer composite materials (PNCs) have been studied and developed due to their excellent physical and chemical properties. Structures composed of these composite materials are widely used in aerospace engineering structures, automotive components, and electrical devices. The excellent and outstanding mechanical, thermal, and electrical properties of Carbon nanotube (CNT) make it an ideal filler to strengthen polymer materials’ comparable properties. The heat transfer of composite materials has very promising engineering applications in many fields, especially in electronic devices and energy storage equipment. It is essential in high-energy density systems since electronic components need heat dissipation functionality. Or in other words, in electronic devices the generated heat should ideally be dissipated by light and small heat sinks.
Polymeric composites consist of fillers embedded in a polymer matrix, the first ones will significantly affect the overall (macroscopic) performance of the material. There are many common carbon-based fillers such as single-walled carbon nanotubes (SWCNT), multi-walled carbon nanotubes (MWCNT), carbon nanobuds (CNB), fullerene, and graphene. Additives inside the matrix have become a popular subject for researchers. Some extraordinary characters, such as high-performance load, lightweight design, excellent chemical resistance, easy processing, and heat transfer, make the design of polymeric nanotube composites (PNCs) flexible. Due to the reinforcing effects with different fillers on composite materials, it has a higher degree of freedom and can be designed for the structure according to specific applications’ needs. As already stated, our research focus will be on SWCNT enhanced PNCs. Since experiments are timeconsuming, sometimes expensive and cannot shed light into phenomena taking place for instance at the interfaces/interphases of composites, they are often complemented through theoretical and computational analysis.
While most studies are based on deterministic approaches, there is a comparatively lower number of stochastic methods accounting for uncertainties in the input parameters. In deterministic models, the output of the model is fully determined by the parameter values and the initial conditions. However, uncertainties in the input parameters such as aspect ratio, volume fraction, thermal properties of fiber and matrix need to be taken into account for reliable predictions. In this research, a stochastic multiscale method is provided to study the influence of numerous uncertain input parameters on the thermal conductivity of the composite. Therefore, a hierarchical multi-scale method based on computational homogenization is presented in to predict the macroscopic thermal conductivity based on the fine-scale structure. In order to study the inner mechanism, we use the finite element method and employ surrogate models to conduct a Global Sensitivity Analysis (GSA). The SA is performed in order to quantify the influence of the conductivity of the fiber, matrix, Kapitza resistance, volume fraction and aspect ratio on the macroscopic conductivity. Therefore, we compute first-order and total-effect sensitivity indices with different surrogate models.
As stochastic multiscale models are computational expensive, surrogate approaches are commonly exploited. With the emergence of high performance computing and artificial intelligence, machine learning has become a popular modeling tool for numerous applications. Machine learning (ML) is commonly used in regression and maps data through specific rules with algorithms to build input and output models. They are particularly useful for nonlinear input-output relationships when sufficient data is available. ML has also been used in the design of new materials and multiscale analysis. For instance, Artificial neural networks and integrated learning seem to be ideally for such a task. They can theoretically simulate any non-linear relationship through the connection of neurons. Mapping relationships are employed to carry out data-driven simulations of inputs and outputs in stochastic modeling.
This research aims to develop a stochastic multi-scale computational models of PNCs in heat transfer. Multi-scale stochastic modeling with uncertainty analysis and machine learning methods consist of the following components:
-Uncertainty Analysis. A surrogate based global sensitivity analysis is coupled with a hierarchical multi-scale method employing computational homogenization. The effect of the conductivity of the fibers and the matrix, the Kapitza resistance, volume fraction and aspect ratio on the ’macroscopic’ conductivity of the composite is systematically studied. All selected surrogate models yield consistently the conclusions that the most influential input parameters are the aspect ratio followed by the volume fraction. The Kapitza Resistance has no significant effect on the thermal conductivity of the PNCs. The most accurate surrogate model in terms of the R2 value is the moving least square (MLS).
-Hybrid Machine Learning Algorithms. A combination of artificial neural network (ANN) and particle swarm optimization (PSO) is applied to estimate the relationship between variable input and output parameters. The ANN is used for modeling the composite while PSO improves the prediction performance through an optimized global minimum search. The thermal conductivity of the fibers and the matrix, the kapitza resistance, volume fraction and aspect ratio are selected as input parameters. The output is the macroscopic (homogenized) thermal conductivity of the composite. The results show that the PSO significantly improves the predictive ability of this hybrid intelligent algorithm, which outperforms traditional neural networks.
-Stochastic Integrated Machine Learning. A stochastic integrated machine learning based multiscale approach for the prediction of the macroscopic thermal conductivity in PNCs is developed. Seven types of machine learning models are exploited in this research, namely Multivariate Adaptive Regression Splines (MARS), Support Vector Machine (SVM), Regression Tree (RT), Bagging Tree (Bag), Random Forest (RF), Gradient Boosting Machine (GBM) and Cubist. They are used as components of stochastic modeling to construct the relationship between the variable of the inputs’ uncertainty and the macroscopic thermal conductivity of PNCs. Particle Swarm Optimization (PSO) is used for hyper-parameter tuning to find the global optimal values leading to a significant reduction in the computational cost. The advantages and disadvantages of various methods are also analyzed in terms of computing time and model complexity to finally give a recommendation for the applicability of different models.
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.
Inhaltlich beschäftigt sich die Arbeit, die im Rahmen des Promotionsstudiengangs Kunst und Gestaltung an der Bauhaus-Universität entstand, mit der Erforschung sozio-interaktiver Potentiale der Videotelefonie im Kontext von Nähe und Verbundenheit mit Fokus auf Eigenbild, Embodiment sowie den Rederechtswechsel.
Die Videotelefonie als Kommunikationsform hat sich – und darauf deuten die Erfahrungen der Co- vid-19-Pandemie hin – im lebensweltlichen Alltag der Menschen etabliert und wird dort in naher Zukunft nicht mehr wegzudenken sein. Auf Basis ihrer Möglichkeiten und Errungenschaften ist es inzwischen Realität und Lebenswirklichkeit, dass die Kommunikation sowohl im privaten als auch im geschäftlichen Kontext mittels verschiedenster Kanäle stattfindet. Der Videotelefonie kommt hierbei als solche nicht nur eine tragende Funktion, sondern auch eine herausragende Rolle bei der vermeintlichen Reproduktion der Face-to-Face-Kommunikation im digitalen Raum zu und wird wie selbstverständlich zum zwischenmenschlichen Austausch genutzt. Just an diesem Punkt knüpft die Forschungsarbeit an. Zentral stand dabei das Vorhaben einer dezidierte Untersuchung des Forschungsgegenstandes Videotelefonie, sowohl aus Kultur- als auch Technikhistorischer, aber auch Medien-, Wahrnehmungs- wie Kommunikations- theoretischer Perspektive, indem analytische und phänosemiotische Perspektiven miteinander in Beziehung gesetzt werden (z.B. Wahrnehmungsbedingungen, Interaktionsmerkmale, realisierte Kommunikationsprozesse etc.). Damit verbundenes, wünschenswertes Ziel war es, eine möglichst zeitgemäße wie relevante Forschungsfrage zu adressieren, die neben den kulturellen Technisierungs- und Mediatisierungstendenzen in institutionellen und privaten Milieus ebenfalls eine conditio sine qua non der pandemischen (Massen-)Kommunikation entwirft.
Die Arbeit ist damit vor allem im Bereich des Produkt- und Interactiondesigns zu verorten. Darüber hinaus hatte sie das Ziel der Darlegung und Begründung der Videotelefonie als eigenständige Kommunikationsform, welche durch eigene, kommunikative Besonderheiten, die sich in ihrer jeweiligen Ingebrauchnahme sowie durch spezielle Wahrnehmungsbedingungen äußern, und die die Videotelefonie als »Rederechtswechselmedium« avant la lettre konsolidieren, gekennzeichnet ist. Dabei sollte der Beweis erbracht werden, dass die Videotelefonie nicht als Schwundstufe einer Kommunikation Face-to-Face, sondern als ein eigenständiges Mediatisierungs- und Kommunikationsereignis zu verstehen sei. Und eben nicht als eine beliebige – sich linear vom Telefon ausgehende – entwickelte Form der audio-visuellen Fernkommunikation darstellt, sondern die gestalterische (Bewegtbild-)Technizität ein eigenständiges Funktionsmaß offeriert, welches wiederum ein innovatives Kommunikationsmilieu im Kontext einer Rederechtswechsel-Medialität stabilisiert.