Analysis of quasistatic viscoelastic viscoplastic piezoelectric contact problem with friction and adhesion

"In this paper we study the process of bilateral contact with adhesion and friction between a piezoelectric body an insulator obstacle, socalled foundation. The material's behavior is assumed to be electro-viscoelastic- viscoplastic; quasistatic, modeled by general non-local law adhesion. bonding field on surface. We derive variational formulation for problem then, under smallness assumption coe cient friction, prove existence unique weak solution model. proofs are based results elliptic inequalities fixed point arguments."