@misc{Bock2004,
  type      = {Master Thesis},
  author    = {Bock, Sebastian},
  title     = {Approximation mit polynomialen L{\"o}sungen der Lam{\´e}schen Differentialgleichung},
  doi       = {10.25643/bauhaus-universitaet.640},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-6409},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2004},
  abstract  = {Grundidee der Arbeit ist es, L{\"o}sungen von Randwertaufgaben durch Linearkombinationen exakter klassischer L{\"o}sungen der Differentialgleichung zu approximieren. Die freien Koeffizienten werden dabei durch die Bestimmung der besten Approximation der Randwerte berechnet. Als Basis der Approximation werden vollst{\"a}ndige orthogonale und nahezu orthogonale Funktionensysteme verwendet. Anhand ausgew{\"a}hlter Beispiele mit Randvorgaben unterschiedlicher Glattheit wird am Beispiel der Kugel die prinzipielle Anwendbarkeit der Methode getestet und hinsichtlich der Entwicklung des Fehlers der N{\"a}herungsl{\"o}sung, der Stabilit{\"a}t des Verfahrens und des numerischen Aufwandes untersucht. Die erhaltenen Resultate geben einen begr{\"u}ndeten Anlass, die Anwendung der Methode als Bestandteil einer hybriden analytisch-numerischen Methode, insbesondere der Verkn{\"u}pfung mit der FEM, weiterzuverfolgen.},
  subject      = {Legendre-Funktion},
  language  = {de}
}
@misc{Kessel2005,
  type      = {Master Thesis},
  author    = {Kessel, Marco},
  title     = {Implementierung rechteckiger Scheibenelemente mit B-Spline Ans{\"a}tzen n-ter Ordnung},
  doi       = {10.25643/bauhaus-universitaet.682},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-6822},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2005},
  abstract  = {Diese Arbeit stellt die Implementierung von Scheibenelementen mit B-Spline Ans{\"a}tzen n-ter Ordnung speziell f{\"u}r rechteckige Gebiete mit orthogonaler Vernetzung vor. Dabei kam insbesondere eine spezielle elementbasierte Formulierung auf Grundlage der einzelnen B-Spline Segmente zum Einsatz, die zur Aufbringung von Randbedingungen an den R{\"a}ndern modifizierte B-Splines benutzt. In der Folge entstehen verschiedene Elementtypen zur Diskretisierung von rechteckigen Gebieten, deren Erzeugung, Speicherung und Anwendung im Zusammenhang mit der Finiten Elemente Methode Gegenstand der Arbeit sind. Anhand von untersuchten Beispielen werden die erfolgreiche Implementierung nachgewiesen und verschiedene Eigenschaften der Methode herausgestellt.},
  subject      = {B-Splines},
  language  = {de}
}
@misc{Kurukuri2005,
  type      = {Master Thesis},
  author    = {Kurukuri, Srihari},
  title     = {Homogenization of Damaged Concrete Mesostructures using Representative Volume Elements - Implementation and Application to SLang},
  doi       = {10.25643/bauhaus-universitaet.667},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-6670},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2005},
  abstract  = {This master thesis explores an important and under-researched topic on the so-called bridging of length scales (from >meso< to >macro<), with the concept of homogenization in which the careful characterization of mechanical response requires that the developed material model >bridge< the representations of events that occur at two different scales. The underlying objective here is to efficiently incorporate material length scales in the classical continuum plasticity/damage theories through the concept of homogenization theory. The present thesis is devoted to computational modeling of heterogeneous materials, primarily to matrix-inclusion type of materials. Considerations are focused predominantly on the elastic and damage behavior as a response to quasistatic mechanical loading. Mainly this thesis focuses to elaborate a sound numerical homogenization model which accounts for the prediction of overall properties with the application of different types of boundary conditions namely: periodic, homogeneous and mixed type of boundary conditions over two-dimensional periodic and non-periodic RVEs and three-dimensional non-periodic RVEs. Identification of the governing mechanisms and assessing their effect on the material behavior leads one step further. Bringing together this knowledge with service requirements allows for functional oriented materials design. First, this thesis gives attention on providing the theoretical basic mechanisms involved in homogenization techniques and a survey will be made on existing analytical methods available in literature. Second, the proposed frameworks are implemented in the well known finite element software programs ANSYS and SLang. Simple and efficient algorithms in FORTRAN are developed for automated microstructure generation using RSA algorithm in order to perform a systematic numerical testing of microstructures of composites. Algorithms are developed to generate constraint equations in periodic boundary conditions and different displacements applied spatially over the boundaries of the RVE in homogeneous boundary conditions. Finally, nonlinear simulations are performed at mesolevel, by considering continuum scalar damage behavior of matrix material with the linear elastic behavior of aggregates with the assumption of rigid bond between constituents.},
  subject      = {Schadensmechanik},
  language  = {en}
}
@misc{Hollerbuhl2005,
  type      = {Master Thesis},
  author    = {Hollerbuhl, Lutz},
  title     = {Simulation der Sch{\"a}digung der K{\"o}lnbreintalsperre w{\"a}hrend des Ersteinstaus 1978},
  doi       = {10.25643/bauhaus-universitaet.587},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-5877},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2005},
  abstract  = {Die Arbeit befasst sich mit der {\"o}sterreichischen Bogenstaumauer K{\"o}lnbrein, die w{\"a}hrend des Ersteinstaus gesch{\"a}digt wurde. Diese Sch{\"a}den, sowie m{\"o}gliche Ursachen sind anhand von Literaturquellen dokumentiert. Nach Erstellung eines Rechenmodells wurden, durch ein Randelementeprogramm, Rissfortschrittsberechnungen durchgef{\"u}hrt und mit dem realen Bauwerk verglichen. Zum Einsatz kamen die Anwendungen „OSM", „FRANC3D" und „BES" der Cornell-University.},
  subject      = {Rissausbreitung},
  language  = {de}
}
@misc{Schwedler2009,
  type      = {Master Thesis},
  author    = {Schwedler, Michael},
  title     = {Untersuchungen adaptiver Modellanpassungen f{\"u}r Probleme dynamischer Bauwerks-Bodeninteraktion},
  doi       = {10.25643/bauhaus-universitaet.1405},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20091022-14896},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2009},
  abstract  = {Die Eigenschaften des Baugrunds k{\"o}nnen das dynamische Verhalten eines Bauwerks in erheblichem Maße beeinflussen. Um daraus resultierende Ver{\"a}nderungen der Tragwerksbeanspruchung ermitteln zu k{\"o}nnen, muss der Boden in den Berechnungsmodellen zur Bestimmung der Tragwerksbeanspruchung ber{\"u}cksichtigt werden. Die m{\"o}glichen Modellierungsvarianten unterscheiden sich in ihrer Komplexit{\"a}t erheblich. Im Rahmen dieser Arbeit wird das dynamische Verhalten eines konkreten Bauwerks, der Millikan Library, an einem numerischen Modell untersucht. W{\"a}hrend das Partialmodell Bauwerk w{\"a}hrend der Untersuchungen unver{\"a}ndert bleibt, werden f{\"u}r den Boden verschiedene Modellierungsvarianten verwendet. Allen Bodenmodellen gemein ist, dass sie auf einfachen, gekoppelten Feder-D{\"a}mpferelementen beruhen. Die mit den unterschiedlichen Modellierungsvarianten des Bodens erzielten Ergebnisse werden einander gegen{\"u}ber gestellt und mit dem, im Rahmen anderer Arbeiten experimentell bestimmten, dynamischen Verhalten des untersuchten Bauwerks verglichen.},
  subject      = {Boden-Bauwerk-Wechselwirkung},
  language  = {de}
}
@phdthesis{NguyenThanh,
  author    = {Nguyen-Thanh, Nhon},
  title     = {Isogeometric analysis based on rational splines over hierarchical T-mesh and alpha finite element method for structural analysis},
  issn      = {1610-7381},
  doi       = {10.25643/bauhaus-universitaet.2078},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20131125-20781},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {196},
  abstract  = {This thesis presents two new methods in finite elements and isogeometric analysis for structural analysis. The first method proposes an alternative alpha finite element method using triangular elements. In this method, the piecewise constant strain field of linear triangular finite element method models is enhanced by additional strain terms with an adjustable parameter a, which results in an effectively softer stiffness formulation compared to a linear triangular element. In order to avoid the transverse shear locking of Reissner-Mindlin plates analysis the alpha finite element method is coupled with a discrete shear gap technique for triangular elements to significantly improve the accuracy of the standard triangular finite elements. The basic idea behind this element formulation is to approximate displacements and rotations as in the standard finite element method, but to construct the bending, geometrical and shear strains using node-based smoothing domains. Several numerical examples are presented and show that the alpha FEM gives a good agreement compared to several other methods in the literature. Second method, isogeometric analysis based on rational splines over hierarchical T-meshes (RHT-splines) is proposed. The RHT-splines are a generalization of Non-Uniform Rational B-splines (NURBS) over hierarchical T-meshes, which is a piecewise bicubic polynomial over a hierarchical T-mesh. The RHT-splines basis functions not only inherit all the properties of NURBS such as non-negativity, local support and partition of unity but also more importantly as the capability of joining geometric objects without gaps, preserving higher order continuity everywhere and allow local refinement and adaptivity. In order to drive the adaptive refinement, an efficient recovery-based error estimator is employed. For this problem an imaginary surface is defined. The imaginary surface is basically constructed by RHT-splines basis functions which is used for approximation and interpolation functions as well as the construction of the recovered stress components. Numerical investigations prove that the proposed method is capable to obtain results with higher accuracy and convergence rate than NURBS results.},
  subject      = {Isogeometric analysis},
  language  = {en}
}
@phdthesis{Itam,
  author    = {Itam, Zarina},
  title     = {Numerical Simulation of Thermo-Chemo-Hygro-Mechanical Alkali-Silica Reaction Model in Concrete at the Mesoscale and Macroscale},
  doi       = {10.25643/bauhaus-universitaet.2335},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20141218-23352},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {164},
  abstract  = {Alkali-silica reaction causes major problems in concrete structures due to the rapidity of its deformation which leads to the serviceability limit of the structure being reached well before its time. Factors that affect ASR vary greatly, including alkali and silica content, relative humidity, temperature and porosity of the cementitious matrix,all these making it a very complex phenomenon to consider explicitly. With this in mind, the finite element technique was used to build models and generate expansive pressures and damage propagation due to ASR under the influence of thermo-hygrochemoelastic loading. Since ASR initializes in the mesoscopic regions of the concrete, the accumulative effects of its expansion escalates onto the macroscale level with the development of web cracking on the concrete surface, hence solution of the damage model as well as simulation of the ASR phenomenon at both the macroscale and mesoscale levels have been performed. The macroscale model realizes the effects of ASR expansion as a whole and shows how it develops under the influence of moisture, thermal and mechanical loading. Results of the macroscale modeling are smeared throughout the structure and are sufficient to show how damage due to ASR expansion orientates. As opposed to the mesoscale model, the heterogeneity of the model shows us how difference in material properties between aggregates and the cementitious matrix facilitates ASR expansion. With both these models, the ASR phenomenon under influence of thermo-chemo-hygro-mechanical loading can be better understood.},
  subject      = {Strukturmechanik},
  language  = {en}
}
@misc{Luedtke,
  type      = {Master Thesis},
  author    = {L{\"u}dtke, Cornelius},
  title     = {Systemidentifikation von Bauteilen mittels optischer Messmethoden},
  doi       = {10.25643/bauhaus-universitaet.2429},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20150706-24293},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {97},
  abstract  = {Im Rahmen der Forschung an Bauteil- und F{\"u}gestellend{\"a}mpfung wurden die Schwingungen der Bauteile bisher mit 1D-Laser-Vibrometern gemessen. Nun steht ein 3D-Laser-Scanner zur Verf{\"u}gung. Diese Arbeit besch{\"a}ftigt sich mit der Frage, ob mit dem 3D-Laser-Scanner bessere und weitere relevante Daten bei der Schwingungsmessung gewonnen werden k{\"o}nnen.},
  subject      = {Schwingung},
  language  = {de}
}
@phdthesis{Hatahet,
  author    = {Hatahet, Tareq},
  title     = {On the Analysis of the Disproportionate Structural Collapse in RC Buildings},
  doi       = {10.25643/bauhaus-universitaet.3740},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20180329-37405},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {243},
  abstract  = {Increasing structural robustness is the goal which is of interest for structural engineering community. The partial collapse of RC buildings is subject of this dissertation. Understanding the robustness of RC buildings will guide the development of safer structures against abnormal loading scenarios such as; explosions, earthquakes, fine, and/or long-term accumulation effects leading to deterioration or fatigue. Any of these may result in local immediate structural damage, that can propagate to the rest of the structure causing what is known by the disproportionate collapse. This work handels collapse propagation through various analytical approaches which simplifies the mechanical description of damaged reinfoced concrete structures due to extreme acidental event.},
  subject      = {Beton},
  language  = {en}
}
@misc{Ansari,
  type      = {Master Thesis},
  author    = {Ansari, Meisam},
  title     = {Simulation methods for functional and microstructured composite materials},
  doi       = {10.25643/bauhaus-universitaet.4278},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20201103-42783},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {110},
  abstract  = {In this thesis, a generic model for the post-failure behavior of concrete in tension is proposed. A mesoscale model of concrete representing the heterogeneous nature of concrete is formulated. The mesoscale model is composed of three phases: aggregate, mortar matrix, and the Interfacial Transition Zone between them. Both local and non-local formulations of the damage are implemented and the results are compared. Three homogenization schemes from the literature are employed to obtain the homogenized constitutive relationship for the macroscale model. Three groups of numerical examples are provided.},
  subject      = {Simulation},
  language  = {en}
}