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Modeling of Heat Transfer and Thermo-Mechanical Contact in Fractured Medium using XFEM Method

Bahmani, Bahador | 2016

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 48498 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Khoei, Amir Reza
  7. Abstract:
  8. Heat transfer phonomenon is very important in solids and fluids, specially in fractured medium which has a major role in response of domain.In fact the fracture in special conditions can prevent the heat flow and in different conditions can aid the heat flow and conducts it.Propagation of hydraulic fracture by non-isothermal injection in fractured domain is a problem that has many physical phenomena like modeling of porous medium, heat transfer process in medium, discontinuities presence, concevtion of heat process by hydraulic fracture, fracture propagation, interaction of hydraulic fracture with existing fractures, junctions of cracks, contact phenomenon, etc. Therfore, solving this complicated problem entails different stages. In this project, by emphasizing on heat transfer phase we tend to model some of these phenomena.In the first section we have demonstrated different types of discontinuous behavior in thermal medium and then by developing a new general model which includes all the possible behaviors, we tend to find dynamical response of heat transfer in different situations. Because in this section our main gole includes correct imposition of dynamical constraints on crack faces, we use Penalty and Lagrange methods. Although Penalty method has sufficient accuracy, we will show that Lagrange method acts much better.
    In the next section we will discuss existing challenges of solving heat propagation by non-isothermal injection in the fracture, which arise from governing hyperbolic equation of heat convection. Finally in this section, with a new approach, we developed a formulation by Least Squares Method, eXtended Finite Element Method and Penalty constraint.In the last section thermo-frictional contact phenomena is presented on the basis of XFEM. In this formulation we consider coupling of heat flux and contact pressure which increases non-linearities of this process. We will prove that involving thermal contact is as important as involving mechanical contact in real contact modeling
  9. Keywords:
  10. Heat Transfer ; Frictional Contact ; Extended Finite Element Method ; Thermal Constraints ; Thermal Contact

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