In this paper, the interface law coupling adhesion, friction and unilateral contact, proposed in [
] for elastic bodies in a quasistatic evolution, is extended and considered in the case of dynamic contact for viscoelastic bodies.
We give continuum thermodynamic and mathematical formulations of the dynamic contact problem with adhesion and nonlocal friction between two viscoelastic bodies of Kelvin-Voigt type. Its variational formulation is written as the coupling between an implicit variational inequality and a differential equation describing the evolution of the intensity of adhesion, that represents the transition from a total adhesive condition to a pure contact condition [
The technique used to study some dynamic contact problems with nonlocal friction for viscoelastic bodies [
] and for a cracked viscoelastic body [
] is developed in order to analyze this new class of coupled problems.
Finally, some numerical examples are presented.