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Modeling of Crack Propagation in Saturated Two Phase Porous Media Using X-FEM

Vahhab, Mohammad | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 41079 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Khoei, Amir Reza
  7. Abstract:
  8. Twophase medias are one of the most complicated medias in engineering and because of its importance, its been considered by a lot of researchers ever since. Varaioty of the problems in these medias, has ended in lots of methods for studing them. The primariative efforts in modeling deformable pouros medias was done by Terzaghi and others have improved the primary consepts and have suggested different methods. One of the most common and applicable methods in these medias is u-p formulation. This form is applicable in low frequencies (such as earthquakes) with great accuracy. In this thises, this form is used as primery formulation. Because deformation in multiphase problems can be large, in this thises updated Lagrangian method has been used. As it is apparent from the title of the theses, the primary objective is to model crack propagation in these medias using the extended finite element method (XFEM). XFEM has been applied in lots of problems with a great success and here we are to use this method to model crack propagation in porous medias. Moreover, because of discontinuity of the functions on the domain, in using Green’s theorem, some terns are required to be considered and are included in modeling. Modeling linear elastic fractures (LEFM) using XFEM, has been much less costy and has mch better performance, because in this method neither fine mesh nor remeshing is required and results have a great accuracy, So this method is to be used in this theses. Since in modeling cracks in multiphase medias, because of the existence of the crack graidiant of the pressure is discontinus, pressure phase is enriched with signed distance function. The primary problems considered in this thises is modeling crack in dynamic problems and also modeling crack propagation in quasi-static problems
  9. Keywords:
  10. Crack Propagation ; Extended Finite Element Method ; U/P Formulation ; Linear Elastic Fracture Mechanics ; Deformable Twophase Media

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