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The Finite Element Modeling of Thermodynamic Contact Problems

Saffar Shahroudi, Hadi | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 42333 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Khoei, Amir Reza
  7. Abstract:
  8. The numerical modeling of engineering contact problems is one of the most difficult and demanding tasks in computational mechanics. Frictional contact can be observed in many problems; such as: crack propagation, metal forming operation, drilling pile etc. The thermodynamic coupling problems arise naturally in many industrial processes, such as thermal protection structures ,nuclear fuel elements, layerd structures , heat exchanger as well as metal forming. In these situations predicting temperature field as well as the stress field is of considerable applied importance. When two or more bodies are forced to contact whit each other as a result of thermal or/and mechanical load thermodynamic coupling contact problems appear. The appropriate modeling of contact constraints as well as dynamic behavior and heat transfer phenomena is of prime importance of modeling such coupling problems. This thesis propose a dynamic finite element modeling of contact/impact of elastic bodies undergoing large deformation due to the large strains used together with Taylor-Galerkin time discretization technic of temperature field for advection-diffusion problems to solve thermoelastic coupling problems. The analysis is generally made up of mechanical and thermal analysis. In the case of mechanical analysis the constitutive equation for stress-strain relation are presented for hyperelastic models undergoing isothermal large deformation and the impenetrability condition and frictional contact constrains is fulfilled by imposing augmented Lagrangian functions in great deal with non-matching contact surface meshes. In thermal analysis the Taylor-Galerkin method is employed for numerical solution of parabolic equation of unsteady heat transfer describing high advection-diffusion. These two parts of analysis are coupled together via the effect of temperature on stress filed which is satisfied by decomposing free energy function and also the effects normal and tangential forces of contact surface on temperature and heat conductivity or heat generation. Numerical examples are examined to show the accuracy and efficiency of the presented approach for solving thermoelastic coupling problems
  9. Keywords:
  10. Nonlinear Contact ; Contact Constrain ; Heat Transfer ; Nonlinear Analysis ; Dynamic Analysis ; Augmented-Lagrangian Method ; Frictional Contact ; Taylor-Galerkin Method

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