@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{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{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}
}
@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}
}