AN EFFICIENT THERMO- MECHANICAL CONTACT ALGORITHM FOR MODELING CONTACT- IMPACT PROBLEMS

In this paper, the thermo-dynamic analysis of contact–impact problem is presented in the large deformation of hyperelastic material based on the Taylor-Galerkin method. The technique is applied for the time domain discretization of thermo-dynamic governing equations in the advection-diffusion problems. The impenetrability condition and frictional contact constraints are fulfilled by imposing the augmented-Lagrange technique for non-matching contact surfaces. The Taylor-Galerkin method is employed to describe the advection-diffusion effect in the numerical solution of parabolic equation of unsteady heat transfer condition. The effect of temperature is taken into account in the stress field by satisfying the free energy function. The normal and tangential forces at the contact surface are related to the temperature and heat conductivity. Numerical examples are presented to demonstrate the accuracy and efficiency of the proposed computational algorithm in large deformation thermo-dynamic analysis of contact–impact problems.