A Problem with Wear Involving Thermo-Electro-viscoelastic Materials

Abstract

In this paper, we consider a mathematical model of a contact problem in thermo-electro- viscoelasticity. The body is in contact with an obstacle. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. 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 inequalities, differential equations and fixed point arguments. We present a variational formulation of the problem, and we prove the existence and uniqueness of the weak solution

A frictional contact problem with normal damped response conditions and thermal effects for a thermo-electro-viscoelastic material

“…For the case of coupled laws of behavior between mechanical and thermal effects, we can found several models in Refs [4,6,7,[9][10][11][12]. For this, the new researches use coupled conditions between the mechanical, electrical and thermal behavior of the material see [13][14][15].…”