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Hydratation und Eigenschaften von Gips-Zement-Puzzolan-Bindemitteln mit alumosilikatischen Puzzolanen
No full textReine Calciumsulfatbindemittel weisen eine hohe Löslichkeit auf. Feuchteinwirkung führt zudem zu starken Festigkeitsverlusten. Aus diesem Grund werden diese Bindemittel ausschließlich für Baustoffe und -produkte im Innenbereich ohne permanenten Feuchtebeanspruchung eingesetzt. Eine Möglichkeit, die Feuchtebeständigkeit zu erhöhen, ist die Beimischung puzzolanischer und zementärer Komponenten. Diese Mischsysteme werden Gips-Zement-Puzzolan-Bindemittel (kurz: GZPB) genannt.
Mischungen aus Calciumsulfaten und Portlandzementen allein sind aufgrund der treibenden Ettringitbildung nicht raumbeständig. Durch die Zugabe von puzzolanischen Stoffen können aber Bedingungen im hydratisierenden System geschaffen werden, welche eine rissfreie Erhärtung ermöglichen. Hierfür ist eine exakte Rezeptierung der GZPB notwendig, um die GZPB-typischen, ettringitbedingten Dehnungen zeitlich zu begrenzen. Insbesondere bei alumosilikatischen Puzzolanen treten während der Hydratation gegenüber rein silikatischen Puzzolanen deutlich höhere Expansionen auf, wodurch die Gefahr einer potenziellen Rissbildung steigt. Für die Erstellung geeigneter GZPB-Zusammensetzungen bedarf es daher einer Methodik, um raumbeständig erhärtende Systeme sicher von destruktiven Mischungen unterscheiden zu können.
Sowohl für die Rezeptierung als auch für die Anwendung der GZPB existieren in Deutschland keinerlei Normen. Darüber hinaus sind die Hydratationsvorgänge sowie die entstehenden Produkte nicht konsistent beschrieben. Auch auf die Besonderheiten der GZPB mit alumosilikatischen Puzzolanen wird in der Literatur nur unzureichend eingegangen.
Ziel war es daher, ein grundlegendes Verständnis der Hydratation sowie eine sichere Methodik zur Rezeptierung raumbeständig und rissfrei erhärtender GZPB, insbesondere in Hinblick auf die Verwendung alumosilikatischer Puzzolane, zu erarbeiten. Darüber hinaus sollte systematisch der Einfluss der Einzelkomponenten auf Hydratation und Eigenschaften dieser Bindemittelsysteme untersucht werden. Dies soll ermöglichen, die GZPB für ein breites Anwendungsspektrum als Bindemittel zu etablieren, und somit vorteilhafte Eigenschaften der Calciumsulfate (geringe Schwindneigung, geringe CO2-Emission etc.) mit der Leistungs-fähigkeit von Zementen (Wasserbeständigkeit, Festigkeit, Dauerhaftigkeit etc.) zu verbinden.
Als Ausgangsstoffe der Untersuchungen zu den GZPB wurden Stuckgips und Alpha-Halbhydrat als Calciumsulfatbindemittel in unterschiedlichen Anteilen im GZPB verwendet. Die Puzzolan-Zement-Verhältnisse wurden ebenfalls variiert. Als Puzzolan kam für den Großteil der Untersuchungen ein alumosilikatisches Metakaolin zum Einsatz. Als kalkspendende Komponente diente ein reiner Portlandzement.
Das Untersuchungsprogramm gliederte sich in 4 Teile. Zuerst wurde anhand von CaO- und pH-Wert-Messungen in Suspensionen sowie dem Längenänderungsverhalten von Bindemittelleimen verschiedener Zusammensetzungen eine Vorauswahl geeigneter GZPB-Rezepturen ermittelt. Danach erfolgten, ebenfalls an Bindemittelleimen, Untersuchungen zu den Eigenschaften der als geeignet eingeschätzten GZPB-Mischungen. Hierzu zählten Langzeitbetrachtungen zur rissfreien Erhärtung bei unterschiedlichen Umgebungsbedingungen sowie die Festigkeitsentwicklung im trockenen und feuchten Zustand. Im nächsten Schritt wurde anhand zweier exemplarischer GZPB-Zusammensetzungen (mit silikatischen und alumosilikatischen Puzzolan) die prinzipiell mögliche Phasenzusammensetzung unter Variation des Puzzolan-Zement-Verhältnisses (P/Z-Verhältnis) und des Calciumsulfatanteils im thermodynamischen Gleichgewichtszustand berechnet. Hier wurde im Besonderen auf Unterschiede der silikatischen und alumosilikatischen Puzzolane eingegangen. Im letzten Teil der Untersuchungen wurden die Hydratationskinetik der GZPB sowie die Gefügeentwicklung näher betrachtet. Hierfür wurden die Porenlösungen chemisch analysiert und Sättigungsindizes berechnet, sowie elektronenmikropische, porosimetrische und röntgenografische Untersuchungen durchgeführt. Abschließend wurden die Ergebnisse gesamtheitlich interpretiert, da die Ergebnisse der einzelnen Untersuchungsprogramme miteinander in Wechselwirkung stehen.
Als hauptsächliche Hydratationsprodukte wurden Calciumsulfat-Dihydrat, Ettringit und
C-(A)-S-H-Phasen ermittelt, deren Anteile im GZPB neben dem Calciumsulfatanteil und dem Puzzolan-Zement-Verhältnis auch deutlich vom Wasserangebot und der Gefügeentwicklung abhängen. Bei Verwendung von alumosilikatischen Puzzolans kommt es wahrscheinlich zur teilweisen Substitution des Siliciums durch Aluminium in den C-S-H-Phasen. Dies erscheint aufgrund des Nachweises der für diese Phasen typischen, folienartigen Morphologie wahrscheinlich. Portlandit wurde in raumbeständigen GZPB-Systemen nur zu sehr frühen Zeitpunkten in geringen Mengen gefunden.
In den Untersuchungen konnte ein Teil der in der Literatur beschriebenen, prinzipiellen Hydratationsabläufe bestätigt werden. Bei Verwendung von Halbhydrat als Calciumsulfatkomponente entsteht zuerst Dihydrat und bildet die Primärstruktur der GZPB. In dieses existierende Grundgefüge kristallisieren dann das Ettringit und die C-(A)-S-H-Phasen. In den GZPB sorgen entgegen der Beschreibungen in der Literatur nicht ausschließlich die
C-(A)-S-H-Phasen zur Verbesserung der Feuchtebeständigkeit und der Erhöhung des Festigkeitsniveaus, sondern auch das Ettringit. Beide Phasen überwachsen im zeitlichen Verlauf der Hydratation die Dihydratkristalle in der Matrix und hüllen diese – je nach Calciumsulfatanteil im GZPB – teilweise oder vollständig ein. Diese Umhüllung sowie die starke Gefügeverdichtung durch die C-(A)-S-H-Phasen und das Ettringit bedingen, dass ein lösender Angriff durch Wasser erschwert oder gar verhindert wird. Gleichzeitig wird die Gleitfähigkeit an den Kontaktstellen der Dihydratkristalle verringert.
Eine rissfreie und raumbeständige Erhärtung ist für die gefahrlose Anwendung eines GZPB-Systems essentiell. Hierfür ist die Kinetik der Ettringitbildung von elementarer Bedeutung. Die gebildete Ettringitmenge spielt nur eine untergeordnete Rolle. Selbst ausgeprägte, ettringitbedingte Dehnungen und hohe sich bildende Mengen führen zu frühen Zeitpunkten, wenn die Dihydratkristalle noch leicht gegeneinander verschiebbar sind, zu keinen Schäden. Bleibt die Übersättigung bezüglich Ettringit und somit auch der Kristallisationsdruck allerdings über einen langen Zeitraum hoch, genügen bereits geringe Ettringitmengen, um das sich stetig verfestigende Gefüge stark zu schädigen.
Die für die raumbeständige Erhärtung der GZPB notwendige, schnelle Abnahme der Ettringitübersättigung wird hauptsächlich durch die Reaktivität des Puzzolans beeinflusst. Die puzzolanische Reaktion führt zur Bindung des aus dem Zement stammenden Calciumhydroxid durch die Bildung von C-(A)-S-H-Phasen und Ettringit. Hierdurch sinkt die Calcium- und Hydroxidionenkonzentration in der Porenlösung im Verlauf der Hydratation, wodurch auch die Übersättigung bezüglich Ettringit abnimmt. Je höher die Reaktivität des Puzzolans ist, desto schneller sinkt der Sättigungsindex des Ettringits und somit auch der Kristallisationsdruck. Nach Unterschreiten eines noch näher zu klärendem Grenzwert der Übersättigung stagnieren die Dehnungen. Das Ettringit kristallisiert bzw. wächst nun bevorzugt in den Poren ohne eine weitere, äußere Volumenzunahme zu verursachen.
Um eine schadensfreie Erhärtung des GZPB zu gewährleisten, muss gerade in der frühen Phase der Hydratation ein ausreichendes Wasserangebot gewährleistet werden, so dass die Ettringitbildung möglichst vollständig ablaufen kann. Andernfalls kann es bei einer Wiederbefeuchtung zur Reaktivierung der Ettringitbildung kommen, was im eingebauten Zustand Schäden verursachen kann. Die Gewährleistung eines ausreichenden Wasserangebots ist im GZPB-System nicht unproblematisch. In Abhängigkeit der GZPB-Zusammensetzung können sich große Ettringitmengen bilden, die einen sehr hohen Wasserbedarf aufweisen. Deshalb kann es, je nach verwendeten Wasser-Bindemittel-Wert, im Bindemittelleim zu einem Wassermangel kommen, welcher die weitere Hydratation verlangsamt bzw. komplett verhindert. Zudem können GZPB-Systeme teils sehr dichte Gefüge ausbilden, wodurch der Wassertransport zum Reaktionsort des Ettringits zusätzlich behindert wird.
Die Konzeption raumbeständiger GZPB-Systeme muss anhand mehrerer aufeinander aufbauender Untersuchungen erfolgen. Zur Vorauswahl geeigneter Puzzolan-Zementverhältnisse eignen sich die Messungen der CaO-Konzentration und des pH-Wertes in Suspensionen. Als alleinige Beurteilungsgrundlage reicht dies allerdings nicht aus. Zusätzlich muss das Längenänderungs-verhalten beurteilt werden. Raumbeständige Mischungen mit alumosilikatischen Puzzolanen zeigen zu frühen Zeitpunkten starke Dehnungen, welche dann abrupt stagnieren. Stetige – auch geringe – Dehnungen weisen auf eine destruktive Zusammensetzung hin.
Mit diesem mehrstufigen Vorgehen können raumbeständige, stabile GZPB-Systeme konzipiert werden, so dass die Zielstellung der Arbeit erreicht wurde und ein sicherer praktischer Einsatz dieser Bindemittelart gewährleistet werden kann.
Isogeometric and CAD-based methods for shape and topology optimization: Sensitivity analysis, Bézier elements and phase-field approaches
No full textThe 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
Computational Fracture Modeling and Design of Encapsulation-Based Self-Healing Concrete Using XFEM and Cohesive Surface Technique
No full textEncapsulation-based self-healing concrete (SHC) is the most promising technique for providing a self-healing mechanism to concrete. This is due to its capacity to heal fractures effectively without human interventions, extending the operational life and lowering maintenance costs. The healing mechanism is created by embedding capsules containing the healing agent inside the concrete. The healing agent will be released once the capsules are fractured and the healing occurs in the vicinity of the damaged part. The healing efficiency of the SHC is still not clear and depends on several factors; in the case of microcapsules SHC the fracture of microcapsules is the most important aspect to release the healing agents and hence heal the cracks. This study contributes to verifying the healing efficiency of SHC and the fracture mechanism of the microcapsules. Extended finite element method (XFEM) is a flexible, and powerful discrete crack method that allows crack propagation without the requirement for re-meshing and has been shown high accuracy for modeling fracture in concrete. In this thesis, a computational fracture modeling approach of Encapsulation-based SHC is proposed based on the XFEM and cohesive surface technique (CS) to study the healing efficiency and the potential of fracture and debonding of the microcapsules or the solidified healing agents from the concrete matrix as well. The concrete matrix and a microcapsule shell both are modeled by the XFEM and combined together by CS. The effects of the healed-crack length, the interfacial fracture properties, and microcapsule size on the load carrying capability and fracture pattern of the SHC have been studied. The obtained results are compared to those obtained from the zero thickness cohesive element approach to demonstrate the significant accuracy and the validity of the proposed simulation. The present fracture simulation is developed to study the influence of the capsular clustering on the fracture mechanism by varying the contact surface area of the CS between the microcapsule shell and the concrete matrix. The proposed fracture simulation is expanded to 3D simulations to validate the 2D computational simulations and to estimate the accuracy difference ratio between 2D and 3D simulations. In addition, a proposed design method is developed to design the size of the microcapsules consideration of a sufficient volume of healing agent to heal the expected crack width. This method is based on the configuration of the unit cell (UC), Representative Volume Element (RVE), Periodic Boundary Conditions (PBC), and associated them to the volume fraction (Vf) and the crack width as variables. The proposed microcapsule design is verified through computational fracture simulations
Developments in Isogeometric Analysis and Application to High-Order Phase-Field Models of Biomembranes
No full textIsogeometric analysis (IGA) is a numerical method for solving partial differential equations (PDEs), which was introduced with the aim of integrating finite element analysis with computer-aided design systems. The main idea of the method is to use the same spline basis functions which describe the geometry in CAD systems for the approximation of solution fields in the finite element method (FEM). Originally, NURBS which is a standard technology employed in CAD systems was adopted as basis functions in IGA but there were several variants of IGA using other technologies such as T-splines, PHT splines, and subdivision surfaces as basis functions. In general, IGA offers two key advantages over classical FEM: (i) by describing the CAD geometry exactly using smooth, high-order spline functions, the mesh generation process is simplified and the interoperability between CAD and FEM is improved, (ii) IGA can be viewed as a high-order finite element method which offers basis functions with high inter-element continuity and therefore can provide a primal variational formulation of high-order PDEs in a straightforward fashion. The main goal of this thesis is to further advance isogeometric analysis by exploiting these major advantages, namely precise geometric modeling and the use of smooth high-order splines as basis functions, and develop robust computational methods for problems with complex geometry and/or complex multi-physics.
As the first contribution of this thesis, we leverage the precise geometric modeling of isogeometric analysis and propose a new method for its coupling with meshfree discretizations. We exploit the strengths of both methods by using IGA to provide a smooth, geometrically-exact surface discretization of the problem domain boundary, while the Reproducing Kernel Particle Method (RKPM) discretization is used to provide the volumetric discretization of the domain interior. The coupling strategy is based upon the higher-order consistency or reproducing conditions that are directly imposed in the physical domain. The resulting coupled method enjoys several favorable features: (i) it preserves the geometric exactness of IGA, (ii) it circumvents the need for global volumetric parameterization of the problem domain, (iii) it achieves arbitrary-order approximation accuracy while preserving higher-order smoothness of the discretization. Several numerical examples are solved to show the optimal convergence properties of the coupled IGA–RKPM formulation, and to demonstrate its effectiveness in constructing volumetric discretizations for complex-geometry objects.
As for the next contribution, we exploit the use of smooth, high-order spline basis functions in IGA to solve high-order surface PDEs governing the morphological evolution of vesicles. These governing equations are often consisted of geometric PDEs, high-order PDEs on stationary or evolving surfaces, or a combination of them. We propose an isogeometric formulation for solving these PDEs. In the context of geometric PDEs, we consider phase-field approximations of mean curvature flow and Willmore flow problems and numerically study the convergence behavior of isogeometric analysis for these problems. As a model problem for high-order PDEs on stationary surfaces, we consider the Cahn–Hilliard equation on a sphere, where the surface is modeled using a phase-field approach. As for the high-order PDEs on evolving surfaces, a phase-field model of a deforming multi-component vesicle, which consists of two fourth-order nonlinear PDEs, is solved using the isogeometric analysis in a primal variational framework. Through several numerical examples in 2D, 3D and axisymmetric 3D settings, we show the robustness of IGA for solving the considered phase-field models.
Finally, we present a monolithic, implicit formulation based on isogeometric analysis and generalized-alpha time integration for simulating hydrodynamics of vesicles according to a phase-field model. Compared to earlier works, the number of equations of the phase-field model which need to be solved is reduced by leveraging high continuity of NURBS functions, and the algorithm is extended to 3D settings. We use residual-based variational multi-scale method (RBVMS) for solving Navier–Stokes equations, while the rest of PDEs in the phase-field model are treated using a standard Galerkin-based IGA. We introduce the resistive immersed surface (RIS) method into the formulation which can be employed for an implicit description of complex geometries using a diffuse-interface approach. The implementation highlights the robustness of the RBVMS method for Navier–Stokes equations of incompressible flows with non-trivial localized forcing terms including bending and tension forces of the vesicle. The potential of the phase-field model and isogeometric analysis for accurate simulation of a variety of fluid-vesicle interaction problems in 2D and 3D is demonstrated
ENVI-met validation data accompanied with simulation data of the impact of facade greening on the urban microclimate
No full textThis dataset consists mainly of two subsets. The first subset includes measurements and simulation data conducted to validate the simulation tool ENVI-met. The measurements were conducted at the campus of the Bauhaus-University Weimar in Weimar, Germany and consisted of recording exterior air temperature, globe temperature, relative humidity, and wind velocity at 1.5 m at four points on four different days. After the measurements, the geometry of the campus was modelled and meshed; the simulations were conducted using the weather data of the measurements days with the aim of investigating the accuracy of the model.
The second data subset consists of ENVI-met simulation data of the potential of facade greening in improving the outdoor environment and the indoor air temperature during heatwaves in Central European cities. The data consist of the boundary conditions and the simulation output of two simulation models: with and without facade greening. The geometry of the models corresponded to a residential buildings district in Stuttgart, Germany. The simulation output consisted of exterior air temperature, mean radiant temperature, relative humidity, and wind velocity at 12 different probe points in the model in addition to the indoor air temperature of an exemplary building. The dataset presents both vertical profiles of the probed parameters as well as the time series output of the five-day simulation duration. Both data subsets correspond to the investigations presented in the co-submitted article [1]
New methods of citizen participation based on digital technologies
No full textThe current thesis presents research about new methods of citizen participation based on digital technologies. The focus on the research lies on decentralized methods of participation where citizens take the role of co-creators. The research project first conducted a review of the literature on citizen participation, its origins and the different paradigms that have emerged over the years. The literature review also looked at the influence of technologies on participation processes and the theoretical frameworks that have emerged to understand the introduction of technologies in the context of urban development. The literature review generated the conceptual basis for the further development of the thesis.
The research begins with a survey of technology enabled participation applications that examined the roles and structures emerging due to the introduction of technology. The results showed that cities use technology mostly to control and monitor urban infrastructure and are rather reluctant to give citizens the role of co-creators. Based on these findings, three case studies were developed. Digital tools for citizen participation were conceived and introduced for each case study. The adoption and reaction of the citizens were observed using three data collection methods.
The results of the case studies showed consistently that previous participation and engagement with informal citizen participation are a determinining factor in the potential adoption of digital tools for decentralized engagement. Based on these results, the case studies proposed methods and frameworks that can be used for the conception and introduction of technologies for decentralized citizen participation
Neue Modelle für den Frost-Tausalz-Angriff auf Beton
No full textFür den Frost-Tausalz-Angriff auf Beton existiert eine Reihe von Schadenstheorien. Drei aktuelle Theorien nehmen für sich in Anspruch, den Schadensmechanismus und insbesondere den Einfluss niedrig konzentrierter Tausalzlösungen auf den Schädigungsgrad gut abbilden zu können. Die Glue Spall-Theorie sowie die Cryogenic Suction-Theorie bieten plausible Ansätze. In Untersuchungen konnten einige Modellvorstellungen bestätigt werden, insbesondere der Prozess des kryogenen Saugens. Ob dieser Vorgang oder die mechanische Glue Spall-Belastung tatsächlich schadensauslösend sind, kann anhand der Untersuchungen jedoch noch nicht zweifelsfrei bestätigt oder ausgeschlossen werden. Die Brine Rejection-Theorie zeigt wichtige Prozesse auf, die für die Schädigung bei einem Frost-Tausalz-Angriff relevant sein können. Als alleinstehendes Modell ist es eher nicht geeignet
An adaptive contact formulation for Isogeometric Finite Element Analysis
No full textNumerical simulation of physical phenomena, like electro-magnetics, structural and fluid mechanics is essential for the cost- and time-efficient development of mechanical products at high quality. It allows to investigate the behavior of a product or a system far before the first prototype of a product is manufactured.
This thesis addresses the simulation of contact mechanics. Mechanical contacts appear in nearly every product of mechanical engineering. Gearboxes, roller bearings, valves and pumps are only some examples. Simulating these systems not only for the maximal/minimal stresses and strains but for the stress-distribution in case of tribo-contacts is a challenging task from a numerical point of view.
Classical procedures like the Finite Element Method suffer from the nonsmooth representation of contact surfaces with discrete Lagrange elements. On the one hand, an error due to the approximate description of the surface is introduced. On the other hand it is difficult to attain a robust contact search because surface normals can not be described in a unique form at element edges.
This thesis introduces therefore a novel approach, the adaptive isogeometric contact formulation based on polynomial Splines over hierarchical T-meshes (PHT-Splines), for the approximate solution of the non-linear contact problem. It provides a more accurate, robust and efficient solution compared to conventional methods. During the development of this method the focus was laid on the solution of static contact problems without friction in 2D and 3D in which the structures undergo small deformations.
The mathematical description of the problem entails a system of partial differential equations and boundary conditions which model the linear elastic behaviour of continua. Additionally, it comprises side conditions, the Karush-Kuhn-Tuckerconditions, to prevent the contacting structures from non-physical penetration. The mathematical model must be transformed into its integral form for approximation of the solution. Employing a penalty method, contact constraints are incorporated by adding the resulting equations in weak form to the overall set of equations. For an efficient space discretization of the bulk and especially the contact boundary of the structures, the principle of Isogeometric Analysis (IGA) is applied. Isogeometric Finite Element Methods provide several advantages over conventional Finite Element discretization. Surface approximation with Non-Uniform Rational B-Splines (NURBS) allow a robust numerical solution of the contact problem with high accuracy in terms of an exact geometry description including the surface smoothness.
The numerical evaluation of the contact integral is challenging due to generally non-conforming meshes of the contacting structures. In this work the highly accurate Mortar Method is applied in the isogeometric setting for the evaluation of contact contributions. This leads to an algebraic system of equations that is linearized and solved in sequential steps. This procedure is known as the Newton Raphson Method. Based on numerical examples, the advantages of the isogeometric approach
with classical refinement strategies, like the p- and h-refinement, are shown and the influence of relevant algorithmic parameters on the approximate solution of the contact problem is verified. One drawback of the Spline approximations of stresses though is that they lack accuracy at the contact edge where the structures change their boundary from contact to no contact and where the solution features a kink. The approximation with smooth Spline functions yields numerical artefacts in the form of non-physical oscillations.
This property of the numerical solution is not only a drawback for the
simulation of e.g. tribological contacts, it also influences the convergence properties of iterative solution procedures negatively. Hence, the NURBS discretized geometries are transformed to Polynomial Splines over Hierarchical T-meshes (PHT-Splines), for the local refinement along contact edges to reduce the artefact of pressure oscillations. NURBS have a tensor product structure which does not allow to refine only certain parts of the geometrical domain while leaving other parts unchanged. Due to the Bézier Extraction, lying behind the transformation from NURBS to PHT-Splines, the connected mesh structure is broken up into separate elements. This allows an efficient local refinement along the contact edge.
Before single elements are refined in a hierarchical form with cross-insertion, existing basis functions must be modified or eliminated. This process of truncation assures local and global linear independence of the refined basis which is needed for a unique approximate solution. The contact boundary is a priori unknown. Local refinement along the contact edge, especially for 3D problems, is for this reason not straight forward. In this work the use of an a posteriori error estimation procedure, the Super Convergent Recovery Solution Based Error Estimation Scheme, together with the Dörfler Marking Method is suggested for the spatial search of the contact edge.
Numerical examples show that the developed method improves the quality of solutions along the contact edge significantly compared to NURBS based approximate solutions. Also, the error in maximum contact pressures, which correlates with the pressure artefacts, is minimized by the adaptive local refinement.
In a final step the practicability of the developed solution algorithm is verified by an industrial application: The highly loaded mechanical contact between roller and cam in the drive train of a high-pressure fuel pump is considered
Cable Robotic 3D-printing: additive manufacturing on the construction site
No full textThis paper outlines an important step in characterizing a novel field of robotic construction research where a cable-driven parallel robot is used to extrude cementitious material in three-dimensional space, and thus offering a comprehensive new approach to computational design and construction, and to robotic fabrication at larger scales. Developed by the Faculty of Art and Design at Bauhaus-University Weimar (Germany), the faculty of Architecture at the University of Applied Sciences Dortmund (Germany) and the Chair of Mechatronics at the University of Duisburg-Essen (Germany), this approach offers unique advantages over existing additive manufacturing methods: the system is easily transportable and scalable, it does not require additional formwork or scaffolding, and it offers digital integration and informational oversight across the entire design and building process. This paper considers 1) key research components of cable robotic 3D-printing (such as computational design, material exploration, and robotic control), and 2) the integration of these parameters into a unified design and building process. The demonstration of the approach at full-scale is of particular concern
Gründerzeit. Hightech und Alternativen der Wissenschaft in West-Berlin
No full textZu den diversen Unternehmungen sozialbewegter „Gegenwissenschaft“, die um 1980 auf der Bildfläche der BRD erschienen, zählte der 1982 gegründete Berliner Wissenschaftsladen e. V., kurz WILAB – eine Art „alternatives“ Spin-off der Technischen Universität Berlin. Der vorliegende Beitrag situiert die Ausgründung des „Ladens“ im Kontext zeitgenössischer Fortschritte der (regionalen) Forschungs- und Technologiepolitik. Gezeigt wird, wie der deindustrialisierenden Inselstadt, qua „innovationspolitischer“ Gegensteuerung, dabei sogar eine gewisse Vorreiterrolle zukam: über die Stadtgrenzen hinaus sichtbare Neuerungen wie die Gründermesse BIG TECH oder das 1983 eröffnete Berliner Innovations- und Gründerzentrum (BIG), der erste „Incubator“ [sic] der BRD, etwa gingen auf das Konto der 1977/78 lancierten Technologie-Transferstelle der TU Berlin, TU-transfer.
Anders gesagt: tendenziell bekam man es hier nun mit Verhältnissen zu tun, die immer weniger mit den Träumen einer „kritischen“, nicht-fremdbestimmten (Gegen‑)Wissenschaft kompatibel waren. Latent konträr zur historiographischen Prominenz des wissenschaftskritischen Zeitgeists fristeten „alternativen“ Zielsetzungen verpflichtete Unternehmungen wie „WILAB“ ein relativ marginalisiertes Nischendasein. Dennoch wirft das am WILAB verfolgte, so gesehen wenig aussichtsreiche Anliegen, eine andere, nämlich „humanere“ Informationstechnologie in die Wege zu leiten, ein instruktives Licht auf die Aufbrüche „unternehmerischer“ Wissenschaft in der BRD um 1980