A frictional contact problem with damage and adhesion for an electro elastic-viscoplastic body

Abstract

We consider a quasistatic frictional contact problem for an electro elastic-viscopalastic body with damage and adhestion. The contact is modelled with normal compliance. The adhesion of the contact surfaces is taken into account and modelled by a surface variable. We derive variational formulation for the model which is in the form of a system involving the displacement field, the electric potential field, the damage field and the adhesion field. We prove the existence of a unique weak solution to the problem. The proof is based on arguments of time-dependent variational inequalities, parabolic inequalities, differential equations and fixed point.

Keywords

• Piezoelectric
• elastic-viscoplastic
• friction contact
• normal compliance
• fixed point
• variational inequality