@phdthesis{Zhang,
  author    = {Zhang, Yongzheng},
  title     = {A Nonlocal Operator Method for Quasi-static and Dynamic Fracture Modeling},
  doi       = {10.25643/bauhaus-universitaet.4732},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20221026-47321},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  abstract  = {Material failure can be tackled by so-called nonlocal models, which introduce an intrinsic length scale into the formulation and, in the case of material failure, restore the well-posedness of the underlying boundary value problem or initial boundary value problem. Among nonlocal models, peridynamics (PD) has attracted a lot of attention as it allows the natural transition from continuum to discontinue and thus allows modeling of discrete cracks without the need to describe and track the crack topology, which has been a major obstacle in traditional discrete crack approaches. This is achieved by replacing the divergence of the Cauchy stress tensor through an integral over so-called bond forces, which account for the interaction of particles. A quasi-continuum approach is then used to calibrate the material parameters of the bond forces, i.e., equating the PD energy with the energy of a continuum. One major issue for the application of PD to general complex problems is that they are limited to fairly simple material behavior and pure mechanical problems based on explicit time integration. PD has been extended to other applications but losing simultaneously its simplicity and ease in modeling material failure. Furthermore, conventional PD suffers from instability and hourglass modes that require stabilization. It also requires the use of constant horizon sizes, which drastically reduces its computational efficiency. The latter issue was resolved by the so-called dual-horizon peridynamics (DH-PD) formulation and the introduction of the duality of horizons. Within the nonlocal operator method (NOM), the concept of nonlocality is further extended and can be considered a generalization of DH-PD. Combined with the energy functionals of various physical models, the nonlocal forms based on the dual-support concept can be derived. In addition, the variation of the energy functional allows implicit formulations of the nonlocal theory. While traditional integral equations are formulated in an integral domain, the dual-support approaches are based on dual integral domains. One prominent feature of NOM is its compatibility with variational and weighted residual methods. The NOM yields a direct numerical implementation based on the weighted residual method for many physical problems without the need for shape functions. Only the definition of the energy or boundary value problem is needed to drastically facilitate the implementation. The nonlocal operator plays an equivalent role to the derivatives of the shape functions in meshless methods and finite element methods (FEM). Based on the variational principle, the residual and the tangent stiffness matrix can be obtained with ease by a series of matrix multiplications. In addition, NOM can be used to derive many nonlocal models in strong form. The principal contributions of this dissertation are the implementation and application of NOM, and also the development of approaches for dealing with fractures within the NOM, mostly for dynamic fractures. The primary coverage and results of the dissertation are as follows: -The first/higher-order implicit NOM and explicit NOM, including a detailed description of the implementation, are presented. The NOM is based on so-called support, dual-support, nonlocal operators, and an operate energy functional ensuring stability. The nonlocal operator is a generalization of the conventional differential operators. Combining with the method of weighted residuals and variational principles, NOM establishes the residual and tangent stiffness matrix of operate energy functional through some simple matrix without the need of shape functions as in other classical computational methods such as FEM. NOM only requires the definition of the energy drastically simplifying its implementation. For the sake of conciseness, the implementation in this chapter is focused on linear elastic solids only, though the NOM can handle more complex nonlinear problems. An explicit nonlocal operator method for the dynamic analysis of elasticity solid problems is also presented. The explicit NOM avoids the calculation of the tangent stiffness matrix as in the implicit NOM model. The explicit scheme comprises the Verlet-velocity algorithm. The NOM can be very flexible and efficient for solving partial differential equations (PDEs). It's also quite easy for readers to use the NOM and extend it to solve other complicated physical phenomena described by one or a set of PDEs. Several numerical examples are presented to show the capabilities of this method. -A nonlocal operator method for the dynamic analysis of (thin) Kirchhoff plates is proposed. The nonlocal Hessian operator is derived from a second-order Taylor series expansion. NOM is higher-order continuous, which is exploited for thin plate analysis that requires \$C^1\$ continuity. The nonlocal dynamic governing formulation and operator energy functional for Kirchhoff plates are derived from a variational principle. The Verlet-velocity algorithm is used for time discretization. After confirming the accuracy of the nonlocal Hessian operator, several numerical examples are simulated by the nonlocal dynamic Kirchhoff plate formulation. -A nonlocal fracture modeling is developed and applied to the simulation of quasi-static and dynamic fractures using the NOM. The phase field's nonlocal weak and associated strong forms are derived from a variational principle. The NOM requires only the definition of energy. We present both a nonlocal implicit phase field model and a nonlocal explicit phase field model for fracture; the first approach is better suited for quasi-static fracture problems, while the key application of the latter one is dynamic fracture. To demonstrate the performance of the underlying approach, several benchmark examples for quasi-static and dynamic fracture are solved.},
  subject      = {Variationsprinzip},
  language  = {en}
}
@phdthesis{Hollberg,
  author    = {Hollberg, Alexander},
  title     = {A parametric method for building design optimization based on Life Cycle Assessment},
  doi       = {10.25643/bauhaus-universitaet.3800},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20180928-38000},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {262},
  abstract  = {The building sector is responsible for a large share of human environmental impacts. Architects and planners are the key players for reducing the environmental impacts of buildings, as they define them to a large extent. Life Cycle Assessment (LCA) allows for the holistic environmental analysis of a building. However, it is currently not employed to improve the environmental performance of buildings during the design process, although the potential for optimization is greatest there. One main reason is the lack of an adequate means of applying LCA in the architectural design process. As such, the main objective of this thesis is to develop a method for environmental building design optimization that is applicable in the design process. The key concept proposed in this thesis is to combine LCA with parametric design, because it proved to have a high potential for design optimization. The research approach includes the analysis of the characteristics of LCA for buildings and the architectural design stages to identify the research gap, the establishment of a requirement catalogue, the development of a method based on a digital, parametric model, and an evaluation of the method. An analysis of currently available approaches for LCA of buildings indicates that they are either holistic but very complex or simple but not holistic. Furthermore, none of them provide the opportunity for optimization in the architectural design process, which is the main research gap. The requirements derived from the analysis have been summarized in the form of a catalogue. This catalogue can be used to evaluate both existing approaches and potential methods developed in the future. In this thesis, it served as guideline for the development of the parametric method - Parametric Life Cycle Assessment (PLCA). The unique main feature of PLCA is that embodied and operational environmental impact are calculated together. In combination with the self-contained workflow of the method, this provides the basis for holistic, time-efficient environmental design optimization. The application of PLCA to three examples indicated that all established mandatory requirements are met. In all cases, environmental impact could be significantly reduced. In comparison to conventional approaches, PLCA was shown to be much more time-efficient. PLCA allows architects to focus on their main task of designing the building, and finally makes LCA practically useful as one of several criteria for design optimization. With PLCA, the building design can be time-efficiently optimized from the beginning of the most influential early design stages, which has not been possible until now. PLCA provides a good starting point for further research. In the future, it could be extended by integrating the social and economic aspects of sustainability.},
  subject      = {Bauentwurf},
  language  = {en}
}
@phdthesis{Hollberg,
  author    = {Hollberg, Alexander},
  title     = {A parametric method for building design optimization based on Life Cycle Assessment - Appendix},
  series = {A parametric method for building design optimization based on Life Cycle Assessment},
  journal   = {A parametric method for building design optimization based on Life Cycle Assessment},
  doi       = {10.25643/bauhaus-universitaet.2688},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20161101-26884},
  abstract  = {The building sector is responsible for a large share of human environmental impacts, over which architects and planners have a major influence. The main objective of this thesis is to develop a method for environmental building design optimization based on Life Cycle Assessment (LCA) that is applicable as part of the design process. The research approach includes a thorough analysis of LCA for buildings in relation to the architectural design stages and the establishment of a requirement catalogue. The key concept of the novel method called Parametric Life Cycle Assessment(PLCA) is to combine LCA with parametric design. The application of this method to three examples shows that building designs can be optimized time-efficiently and holistically from the beginning of the most influential early design stages, an achievement which has not been possible until now.},
  subject      = {{\"O}kobilanz},
  language  = {en}
}
@phdthesis{MizrakBilen,
  author    = {Mizrak Bilen, Burcin},
  title     = {A Power-Centered Approach to the Capitalization of Climate Change in Property Sector and Strategic Limitation},
  doi       = {10.25643/BAUHAUS-UNIVERSITAET.3840},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20190107-38406},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {256},
  abstract  = {The capitalization of 'certified' sustainable building sector will be investigated over the power theory of value approach of Jonathan Nitzan and Shimshon Bichler. The study will be initiated by questioning why the environment problems are one of the first items on the agenda and by sharing the ideas of scholars who approaches the subject skeptically, because the predominant literature underlying the necessity and prominence of the topic is already well-known and adapted by the majority. Over the theory developed by Nitzan and Bichler, the concepts of capitalization, strategic sabotage, power, legitimacy, and obedience will be discussed. The hypothesis of "the absentee owners of the construction sector, holding the whip hand and capitalizing the ecology, control the growth and the creativity of green building production and make it carbon-dependent, in order to increase their profit margin" will be questioned. To strengthen the arguments in the hypothesis, the factors, the institutional arrangements, value measurement methods, which affect directly the net present value, will be investigated both in corporation and in building scale in detail, because net present value/ capitalization is asserted as the most important criteria by Nitzan and Bichler to make the investment decisions in the capitalist economic system. To trace the implications of power and the strategic sabotage that power caused, as the empirical dimension of this dissertation, an interface exploring the correlational ties between the climate responsive architecture and the ever changing political, economical, and social contexts and building economics praxis by decades will be developed and the expert interviews will be conducted with the design teams and the appraisers.},
  subject      = {Klima{\"a}nderung},
  language  = {en}
}
@phdthesis{Fauth,
  author    = {Fauth, Judith},
  title     = {A process-oriented decision model for determining the permitability of construction projects},
  doi       = {10.25643/bauhaus-universitaet.4602},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220309-46020},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {325},
  abstract  = {In recent years, the discussion of digitalization has arrived in the media, at conferences, and in committees of the construction and real estate industry. While some areas are producing innovations and some contributors can be described as pioneers, other topics still show deficits with regard to digital transformation. The building permit process can also be counted in this category. Regardless of how architects and engineers in planning offices rely on innovative methods, building documents have so far remained in paper form in too many cases, or are printed out after electronic submission to the authority. Existing resources - for example in the form of a building information model, which could provide support in the building permit process - are not being taken advantage of. In order to use digital tools to support decision-making by the building permit authorities, it is necessary to understand the current situation and to question conditions before pursuing the overall automation of internal authority processes as the sole solution. With a substantive-organizational consideration of the relevant areas that influence building permit determination, an improvement of the building permit procedure within authorities is proposed. Complex areas - such as legal situations, the use of technology, as well as the subjective alternative action - are determined and structured. With the development of a model for the determination of building permitability, both an understanding of influencing factors is conveyed and an increase in transparency for all parties involved is created. In addition to an international literature review, an empirical study served as the research method. The empirical study was conducted in the form of qualitative expert interviews in order to determine the current state in the field of building permit procedures. The collected data material was processed and subsequently subjected to a software-supported content analysis. The results were processed, in combination with findings from the literature review, in various analyses to form the basis for a proposed model. The result of the study is a decision model that closes the gap between the current processes within the building authorities and an overall automation of the building permit review process. The model offers support to examiners and applicants in determining building permit eligibility, through its process-oriented structuring of decision-relevant facts. The theoretical model could be transferred into practice in the form of a web application.},
  subject      = {Baugenehmigung},
  language  = {en}
}
@phdthesis{Sowoidnich,
  author    = {Sowoidnich, Thomas},
  title     = {A Study of Retarding Effects on Cement and Tricalcium Silicate Hydration induced by Superplasticizers},
  isbn      = {978-3-00-052204-8},
  doi       = {10.25643/bauhaus-universitaet.2544},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20160224-25444},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {214},
  abstract  = {Fließmittel werden in Betonen verwendet, um deren Fließeigenschaften w{\"a}hrend der Verarbeitung zu verbessern und Wasser einzusparen. Beide Faktoren beeinflussen nicht nur den Frischbeton, sondern auch signifikant die Festbetoneigenschaften. Nachteilig wirken sich Fließmittel auf die Festigkeitsentwicklung aus, die z.T. sehr stark verz{\"o}gert wird. Dies ist vor allem bei Bauteilen, die im Rahmen eines Vorfertigungsprozesses hergestellt werden, ein {\"o}konomischer Nachteil. Die vorliegende Arbeit widmet sich den Ursachen f{\"u}r die Verz{\"o}gerung der Portlandzementhydratation bei Verwendung von Fließmitteln. Um die komplexen Reaktionen, die w{\"a}hrend der Portlandzementhydratation auftreten, zu vereinfachen, betrachtet ein {\"u}berwiegender Teil der Arbeit die Wechselwirkung Fließmittel-Tricalciumsilikat (Abk. Ca3SiO5 oder C3S, Hauptbestandteil von Portlandzementklinker). Die Untersuchungen werden in drei Hauptteilen durchgef{\"u}hrt, wobei Methoden wie u.a. isotherme W{\"a}rmeflusskalorimetrie, Elektrische Leitf{\"a}higkeit, Elektronenmikroskopie, ICP-OES, TOC als auch Analytische Ultrazentrifugation Anwendung finden. Basierend auf der Wechselwirkung von Kationen mit anionischen Ladungstr{\"a}gern von Polymeren wird die Interaktion von Calcium mit Fließmitteln im ersten Teil der Arbeit untersucht. Dabei kommt es {\"u}berwiegend zur Komplexierung von Calciumionen durch die funktionellen Gruppen der Plymere (Carboxyl- bzw. Sulfonguppen), die in zement{\"a}ren Umgebungen sowohl gel{\"o}st in der w{\"a}ssrigen Phase als auch als Bestandteil von Partikelgrenzfl{\"a}chen vorhanden sind. Neben diesen Effekten kann auch gezeigt werden, dass Fließmittel die Bildung von nanoskaligen Partikeln hervorrufen, die infolge der sterischen Wirkung von Fließmitteln dispergiert in der w{\"a}ssrigen Phase vorliegen (Clusterbildung). Analog zu neuesten Erkenntnissen aus dem Bereich der Biomineralisation ist daher davon auszugehen, dass diese Nanopartikel durch Agglomeration das Kristallwachtsum beeinflussen. Ausgehend von der Annahme, dass die Aufl{\"o}sungs- und/ oder F{\"a}llungskinetik durch die Wirkung von Fließmitteln behindert und damit f{\"u}r den Verz{\"o}gerungseffekt der Fließmittel w{\"a}hrend der komplexen Hydratationsreaktion verantwortlich seien k{\"o}nnen, werden die zugrundeliegenden Vorg{\"a}nge im zweiten Abschnitt getrennt voneinander untersucht. Es wird anhand von L{\"o}sungsuntersuchungen an C-S-H Phasen und Portlandit herausgestellt, dass die Komplexierung von gel{\"o}sten Calciumionen durch funktionelle Gruppen der Polymere die L{\"o}slichkeit von Portlandit erh{\"o}ht. Im Gegensatz f{\"u}hrt die Komplexierung von Calciumionen in der w{\"a}ssrigen Phase zu einer Verringerung der Calciumionenkonzentration in der w{\"a}ssrigen Phase. Diese Effekte werden auf die unterschiedlich starke Adsorptionsneigung der Polymere an C-S-H-Phasen und Portlandit zur{\"u}ckgef{\"u}hrt. Es wird davon ausgegangen, dass die Adsorption aufgrund der gr{\"o}ßeren spezifischen Oberfl{\"a}che st{\"a}rker an den C-S-H-Phasen als am Portlandit auftritt. Demnach stellt sich dar, dass die Polymere erst nachdem die funktionellen Gruppen Calciumionen aus der w{\"a}ssrigen Phase komplexiert haben an den C-S-H-Phasen adsorbieren. Weiterhin kann gezeigt werden, dass die freie C3S Aufl{\"o}sungsrate in Anwesenheit von Fließmitteln keinen direkten Zusammenhang zur Verz{\"o}gerung erkennen l{\"a}sst. Teilweise kommt es zu einer in Bezug zur Kontrollprobe ohne Fließmittel erh{\"o}hten sowie auch verringerten Aufl{\"o}sungsrate. Wird das Komplexierungsvem{\"o}gen der Fließmittel ber{\"u}cksichtigt, so kann durchaus eine verlangsamte freie Aufl{\"o}sungsrate ermittelt werden. Doch auch Calcit zeigt einen verz{\"o}gernden Einfluss auf die freie C3S Aufl{\"o}sung, obwohl es den Gesamtprozess der Hydratation signifikant beschleunigt. Somit kann die behinderte Aufl{\"o}sung als m{\"o}gliche Ursache f{\"u}r die verz{\"o}gernde Wirkung w{\"a}hrend der Zementhydratation weder best{\"a}tigt noch widerlegt werden. Dieser Punkt sollte in zuk{\"u}nftigen Arbeiten weiter untersucht werden. Im letzten Schritt dieses Untersuchungsabschnitts wird die reine Kristallisation von C-S-H-Phasen und Portlandit untersucht. Es stellt sich heraus, dass Fließmittel insbesondere durch die Wirkung der Komplexierung von Ionen in der w{\"a}ssrigen Phase sowohl die Induktionszeit verl{\"a}ngern als auch die Kristallwachstumsrate ver{\"a}ndern. Dies allein kann aber nicht die komplette Verz{\"o}gerungswirkung erkl{\"a}ren. Ein wichtiger Verz{\"o}gerungsfaktor ist die Adsorption der Polymere an Kristalloberfl{\"a}chen als auch eine fließmittelbedingte Dispergierung von nanoskaligen Einzelpartikeln, die deren Agglomeration zu Kristallen behindert. Im letzten Hauptuntersuchungsabschnitt werden die gewonnenen Erkenntnisse auf die w{\"a}hrend der Zement- und Tricalciumsilikathydratation parallel ablaufenden Reaktionen analysiert. Dabei wird insbesondere die ionische Zusammensetzung der w{\"a}ssrigen Phase von C3S Pasten und Suspensionen untersucht, um Hinweise f{\"u}r eine kinetische Hemmung der Hydratationsreaktion zu identifizieren. Zusammenfassend wird festgestellt, dass die Ursachen der verz{\"o}gernden Wirkung von Fließmitteln auf die Hydratation von C3S auf die starke Verz{\"o}gerung der Kristallisation von Hydratphasen zur{\"u}ckzuf{\"u}hren ist. Dabei kommt den zwei Faktoren Komplexierung von Calciumionen an Oberfl{\"a}chen und Stabilisierung von nanoskaligen Partikeln eine zentrale Bedeutung zu. Diese Effekte k{\"o}nnen durch die Wirkung als Templat als auch durch Erh{\"o}hung der L{\"o}slichkeit infolge Komplexierung freier/gel{\"o}ster Ionen teilkompensiert werden. Dass die Aufl{\"o}sungsreaktion durch die Anwesenheit von Fließmitteln behindert wird, kann nur indirekt anhand der Entwicklung von Ionenkonzentrationen festgestellt werden. Ob dieser Vorgang die Ursache oder die Folge des L{\"o}sungs-F{\"a}llungs-Mechanismus der Hydratation ist und damit die verz{\"o}gernde Wirkung durch behinderte Aufl{\"o}sung des Edukts hervorgerufen wird, bleibt Gegenstand weiterer Untersuchungen. Im Rahmen der Arbeit kann auch gezeigt werden, dass Fließmittel chemisch als Inhibitoren wirken indem sie den Frequenzfaktor verringern. Dar{\"u}ber hinaus wird erstmalig eine Methode entwickelt, die die Bestimmung der Ionenkonzentration in Pasten in-situ erlaubt. Mit deren Hilfe wird dargestellt, dass die Entwicklung der Ionenkonzentration als auch die allgemein verwendete W{\"a}rmefreisetzungsrate (Kalorimetrie) miteinander korrespondiert. Dar{\"u}ber hinaus erlaubt die entwickelte Methode die weitere Differenzierung der Accelerationsperiode in drei Stadien. Die Kristallisation von C-S-H-Phasen und Portlandit ist f{\"u}r den Beginn der Haupthydratationsperiode entscheidend.},
  subject      = {Cement},
  language  = {en}
}
@phdthesis{Winkel,
  author    = {Winkel, Benjamin},
  title     = {A three-dimensional model of skeletal muscle for physiological, pathological and experimental mechanical simulations},
  doi       = {10.25643/bauhaus-universitaet.4300},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20201211-43002},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  abstract  = {In recent decades, a multitude of concepts and models were developed to understand, assess and predict muscular mechanics in the context of physiological and pathological events. Most of these models are highly specialized and designed to selectively address fields in, e.g., medicine, sports science, forensics, product design or CGI; their data are often not transferable to other ranges of application. A single universal model, which covers the details of biochemical and neural processes, as well as the development of internal and external force and motion patterns and appearance could not be practical with regard to the diversity of the questions to be investigated and the task to find answers efficiently. With reasonable limitations though, a generalized approach is feasible. The objective of the work at hand was to develop a model for muscle simulation which covers the phenomenological aspects, and thus is universally applicable in domains where up until now specialized models were utilized. This includes investigations on active and passive motion, structural interaction of muscles within the body and with external elements, for example in crash scenarios, but also research topics like the verification of in vivo experiments and parameter identification. For this purpose, elements for the simulation of incompressible deformations were studied, adapted and implemented into the finite element code SLang. Various anisotropic, visco-elastic muscle models were developed or enhanced. The applicability was demonstrated on the base of several examples, and a general base for the implementation of further material models was developed and elaborated.},
  subject      = {Biomechanik},
  language  = {en}
}
@phdthesis{Borth2002,
  author    = {Borth, Olaf},
  title     = {Absch{\"a}tzung der Tragf{\"a}higkeit von Queranschl{\"u}ssen an Tr{\"a}gern aus Voll- und Brett-schichtholz im Rahmen der Linear-Elastischen Bruchmechanik},
  doi       = {10.25643/bauhaus-universitaet.23},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20040212-250},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2002},
  abstract  = {In der Arbeit werden M{\"o}glichkeiten aufgezeigt, die Tragf{\"a}higkeit von Queranschl{\"u}ssen an Tr{\"a}gern aus Voll- und Brettschichtholz abzusch{\"a}tzen. Die Tragf{\"a}higkeit dieser Anschl{\"u}sse wird nicht allein durch die Tragf{\"a}higkeit der mechanischen Verbindungsmittel selbst begrenzt. Die Tragf{\"a}higkeit der Verbindungsmittel wird in dieser Arbeit a priori als hinreichend betrachtet. Sie kann z. B. nach der Theorie von JOHANSEN bestimmt werden. Insbesondere bei solchen Anschl{\"u}ssen, welche unterhalb der Schwerachse von Tr{\"a}gern angeordnet sind, erzeugen die durch die Verbindungsmittel eingeleiteten Lasten Beanspruchungen, welche die Tragf{\"a}higkeiten dieser Anschl{\"u}sse bestimmen. Die Absch{\"a}tzung der Tragf{\"a}higkeit auf der Basis von Spannungen hat bei dieser Problemstellung methodische Schw{\"a}chen. Bauteile aus Holz k{\"o}nnen unter Gebrauchsbedingungen rißbehaftet sein. Mit den Methoden der Linear-Elastischen Bruchmechanik kann die Tragf{\"a}higkeit von rißbehafteten Bauteilen beurteilt werden. Es werden wegen der Vielzahl m{\"o}glicher Ausf{\"u}hrungvarianten lediglich Anschl{\"u}sse betrachtet, welche mit stiftf{\"o}rmigen Verbindungsmitteln hergestellt werden. Zur Bestimmung bruchmechanischer Kennwerte werden numerische Methoden angewendet. Es werden wichtige Parameter dieser Anschl{\"u}sse untersucht und hinsichtlich ihrer Ber{\"u}cksichtigung im Rechenmodell bewertet. Zur Verifizierung des Rechenmodells werden Vergleiche mit experimentellen Untersuchungen anderer Wissenschaftler angestellt. Der Einsatz verschiedener Versagenskriterien wird diskutiert. Schließlich wird ein formaler Zusammenhang zur Absch{\"a}tzung der Tragf{\"a}higkeit f{\"u}r einzelne Verbindungsmittel hergestellt. Weiterhin wird die Tragf{\"a}higkeit von praxis{\"u}blichen Anschl{\"u}ssen anhand einfacher Zusammenh{\"a}nge aufgezeigt.},
  subject      = {Tr{\"a}ger},
  language  = {de}
}
@phdthesis{Luther2010,
  author    = {Luther, Torsten},
  title     = {Adaptation of atomistic and continuum methods for multiscale simulation of quasi-brittle intergranular damage},
  doi       = {10.25643/bauhaus-universitaet.1436},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20101101-15245},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2010},
  abstract  = {The numerical simulation of damage using phenomenological models on the macroscale was state of the art for many decades. However, such models are not able to capture the complex nature of damage, which simultaneously proceeds on multiple length scales. Furthermore, these phenomenological models usually contain damage parameters, which are physically not interpretable. Consequently, a reasonable experimental determination of these parameters is often impossible. In the last twenty years, the ongoing advance in computational capacities provided new opportunities for more and more detailed studies of the microstructural damage behavior. Today, multiphase models with several million degrees of freedom enable for the numerical simulation of micro-damage phenomena in naturally heterogeneous materials. Therewith, the application of multiscale concepts for the numerical investigation of the complex nature of damage can be realized. The presented thesis contributes to a hierarchical multiscale strategy for the simulation of brittle intergranular damage in polycrystalline materials, for example aluminum. The numerical investigation of physical damage phenomena on an atomistic microscale and the integration of these physically based information into damage models on the continuum meso- and macroscale is intended. Therefore, numerical methods for the damage analysis on the micro- and mesoscale including the scale transfer are presented and the transition to the macroscale is discussed. The investigation of brittle intergranular damage on the microscale is realized by the application of the nonlocal Quasicontinuum method, which fully describes the material behavior by atomistic potential functions, but reduces the number of atomic degrees of freedom by introducing kinematic couplings. Since this promising method is applied only by a limited group of researchers for special problems, necessary improvements have been realized in an own parallelized implementation of the 3D nonlocal Quasicontinuum method. The aim of this implementation was to develop and combine robust and efficient algorithms for a general use of the Quasicontinuum method, and therewith to allow for the atomistic damage analysis in arbitrary grain boundary configurations. The implementation is applied in analyses of brittle intergranular damage in ideal and nonideal grain boundary models of FCC aluminum, considering arbitrary misorientations. From the microscale simulations traction separation laws are derived, which describe grain boundary decohesion on the mesoscale. Traction separation laws are part of cohesive zone models to simulate the brittle interface decohesion in heterogeneous polycrystal structures. 2D and 3D mesoscale models are presented, which are able to reproduce crack initiation and propagation along cohesive interfaces in polycrystals. An improved Voronoi algorithm is developed in 2D to generate polycrystal material structures based on arbitrary distribution functions of grain size. The new model is more flexible in representing realistic grain size distributions. Further improvements of the 2D model are realized by the implementation and application of an orthotropic material model with Hill plasticity criterion to grains. The 2D and 3D polycrystal models are applied to analyze crack initiation and propagation in statically loaded samples of aluminum on the mesoscale without the necessity of initial damage definition.},
  subject      = {Mechanik},
  language  = {en}
}
@phdthesis{Tietz,
  author    = {Tietz, Robert},
  title     = {Adaptierte und objektivierte Minderkostenberechnung bei unwesentlichen M{\"a}ngeln in Shoppingcentern},
  doi       = {10.25643/bauhaus-universitaet.2567},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20160425-25674},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {162},
  abstract  = {Minderkostenberechnung bei unwesentlichen M{\"a}ngeln},
  subject      = {Vergabe- und Vertragsordnung f{\"u}r Bauleistungen},
  language  = {de}
}