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Modeling of Crack Propagation in Non-isothermalsaturatedPorous Media using XFEM

Moallemi, Sina | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 42232 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Khoei, Amir Reza
  7. Abstract:
  8. The probability of crack appearance in soil structures and porous media is not avoidable, which could be the reason of structures collapse. According to the important affects, which they play in the vulnerability of the structures, they should be taking into account. The cracks have different effects on various materials. The most properties that cracks have, is their ability of conveying the fluid flow. For the most accurate analysis of discontinues domains, their governing equations should be taken and solved. Finite Element Method is one of the best solutions of differential governing equations. However, the appearance of some problems in the modeling of discontinues domain, was the reason of expanding this method and eXtended Finite Element Method was presented. In this thesis, we considered the effects of temperature on the fractured porous media. First of all, the governing equation of continues saturated porous media have presented and then the space and time discretization of the variables have done. In addition, the fracture mechanics, crack propagation criteria and its direction have explained in details. Two types of crack have considered, 1, Permeable and 2, Impermeable and adiabatic, and their equations have derived. The fluid leak-off and the heat flux from each side of crack, which, is in relation with domain, have calculated. The final form of equations with XFEM has presented. At the end, some numerical examples have proved the efficiency of using XFEM in Thermo- Hydro-Mechanical modeling of fractured porous media.
  9. Keywords:
  10. Saturated Porous Medium ; Crack Propagation ; Extended Finite Element Method ; Fracture Mechanics

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