Analyse variationnelle de quelques problèmes aux limites de contact avec adhésion et endommagement

Abstract

The aim of this memory is the study of some boundary value problems with contact with friction or the frictionless, with adhesion and damage between a deformable body and a deformable or rigid. Here we consider the constitutive equations for nonlinear viscoelastic materials in the dynamic process. For these problems we obtain variational formulations followed by the results of existence and uniqueness of weak solutions. The techniques used are based on the theory of monotone operators followed by a version of Cauchy - Lipschitz theorem and the argument of Banach fixed point.