Abstract
The aim of this paper is to study a quasistatic contact problem between an
electro-elastic viscoplastic body with damage and an electrically conductive
foundation. The contact is modelled with an electrical condition, normal
compliance and the associated version of Coulomb’s law of dry friction in
which slip dependent friction is included. We derive a variational
formulation for the model and, under a smallness assumption, we prove the
existence and uniqueness of a weak solution.