A bilateral contact problem with adhesion and damage between two viscoelastic bodies

Abstract

This paper deals with the study of a nonlinear problem of bilateral, frictionless adhesive contact between two viscoelastic deformable bodies with damage. The adhesion process on the common contact surface is modelled by a surface variable, the bonding field, the tangential shear due to the bonding field being included. We obtain an existence and uniqueness result by construction of an appropriate mapping which is shown to be a contraction on a Hilbert space.