A dynamic Tresca's frictional contact problem with damage for thermo elastic-viscoplastic bodies

Abstract

We consider a dynamic contact problem between an elastic-viscoplastic body and a rigid obstacle. The contact is frictional and bilateral, the friction is modeled with Tresca's law with heat exchange. We employ the elastic-viscoplastic with damage constitutive law for the material. The evolution of the damage is described by an inclusion of parabolic type. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem. The proof is based on a classical existence and uniqueness result on parabolic inéqualities, differentiel equations and fixed point argument.

A dynamic problem with wear involving electro-elastic-viscoplastic materials with damage

“…The boundary conditions reflect the binding of the body with the outside world. Recent researches use coupled laws of behavior between mechanical and electric effects or between mechanical and thermal effects(see [2]). For the case of coupled laws of behavior between mechanical and electric effects, general models can be found in (see [5]).…”