@masterthesis{Schumann,
  type      = {Bachelor Thesis},
  author    = {Schumann, Alexander},
  title     = {Untersuchung und Beurteilung des Rissverhaltens eines Betongelenkes anhand unterschiedlicher Methoden},
  doi       = {10.25643/bauhaus-universitaet.1982},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20130722-19829},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {95},
  abstract  = {Die Bruchmechanik hat einen wichtigen Platz im modernen Bauingenieurwesen, um die Ausbreitung von Rissen in Bauteilen und ihre Gef{\"a}hrlichkeit einzusch{\"a}tzen. Dabei kommen verschiedenste Methoden zum Einsatz. In dieser Arbeit soll die Qualit{\"a}tsbewertung f{\"u}r einige dieser Methoden untersucht werden. Zu vergleichen sind u. a. die Genauigkeit, die Schnelligkeit, die Komplexit{\"a}t und die Stabilit{\"a}t. In den Vergleich sind die Finite Elemente Methode, die Extended Finite Elemente Methode und eine Kopplungsmethode (analytische L{\"o}sung f{\"u}r die Rissspitze und Finite Elemente L{\"o}sung f{\"u}r den Rest des Gebietes) einzubeziehen. Als reales Beispiel aus dem Bauingenieurwesen wird ein Betongelenk mit einem vorhandenen Riss betrachtet.},
  subject      = {Finite Elemente Methode},
  language  = {de}
}
@article{VuBacNguyenXuanChenetal.,
  author    = {Vu-Bac, N. and Nguyen-Xuan, Hung and Chen, Lei and Lee, C.K. and Zi, Goangseup and Zhuang, Xiaoying and Liu, G.R. and Rabczuk, Timon},
  title     = {A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics},
  series = {Journal of Applied Mathematics},
  journal   = {Journal of Applied Mathematics},
  doi       = {10.1155/2013/978026},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170426-31676},
  abstract  = {This paper presents a novel numerical procedure based on the combination of an edge-based smoothed finite element (ES-FEM) with a phantom-node method for 2D linear elastic fracture mechanics. In the standard phantom-node method, the cracks are formulated by adding phantom nodes, and the cracked element is replaced by two new superimposed elements. This approach is quite simple to implement into existing explicit finite element programs. The shape functions associated with discontinuous elements are similar to those of the standard finite elements, which leads to certain simplification with implementing in the existing codes. The phantom-node method allows modeling discontinuities at an arbitrary location in the mesh. The ES-FEM model owns a close-to-exact stiffness that is much softer than lower-order finite element methods (FEM). Taking advantage of both the ES-FEM and the phantom-node method, we introduce an edge-based strain smoothing technique for the phantom-node method. Numerical results show that the proposed method achieves high accuracy compared with the extended finite element method (XFEM) and other reference solutions.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}