A piezoelectric contact problem with slip dependent friction and damage

Author:

Kasri Abderrezak1

Affiliation:

1. Département de Mathématiques , Faculté des Sciences , Université 20 Août 1955 – Skikda , B.P.26 Route El-Hadaiek-Skikda , Algeria

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

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