Modélisation mathématique des problèmes électro-élastique de contact avec frottement

Abstract

The purpose of this disertation is to study two types of antiplan contact problems with friction between a deformable body and a foundation. We assume along this disertation that the process is static for electroelastic materials and electro-viscoelastic materials. In first time, we try to construct a variational formulation of each problem and, we describe all the assumptions and equations for the each model of antiplan contact problem. In the second time, we give the boundary conditions with friction. Finally, the results we get on the existence and uniqueness of weak solutions of these problems will be confirmed and based by using the standard arguments of variational inequalities. The last part of this disertation contained an annex about some tools of functional analysis.