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Numerical Modeling of Cohesive Cracks in Functionally Graded Materials Using XFEM

Alavi, Mostafa | 2014

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 46493 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Kazemi, Mohammad Taghi
  7. Abstract:
  8. Nowadays in high-tech industries there is a serious demand for using advanced materials. Functionally graded materials (FGMs) are in the last generations of these group of materials. FGMs have shown good behavior in special conditions. According to sensitive applications of FGMs , there is a large amount of effort to understand it’s behavior in the presence of crack. Finite element method and other numerical methods, in recent years are widely used in modeling fracture problems.Remeshing requirements and mesh sensitivity are among the disadvantages of analyzing crack growth using the conventional FEM. Recent finite element methods such as extended finite element method, are proposed to model discontinuities through the elements. Numerical modeling of cohesive cracks is one of the applications of XFEM. Cohesive crack model proposed to model cracks in quasi-brittle materials and it is independent of some assumptions in elastic fracture mechanics such as stress singularity in crack tip.
    In this research the conclusion is that in functionally graded materials according to smooth and continous variation of material properties, XFEM capacities is appropriate and so zdequate to gain logical and good results conforming experimental results. This research novelity is solving cohesive crack model in an orthotropic FGM which haven’t been solved yet
  9. Keywords:
  10. Graded Materials ; Fracture Mechanics ; Cohesive Crack Model ; Extended Finite Element Method ; Elasticity Theory

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