Quasistatic contact problem between thermo-electroelastic bodies with long-term memory and adhesion

Abstract

We study of a quasistatic frictional contact problem between two thermo-electroelastic bodies with adhesion. The temperature of the materials caused by elastic deformations. The contact is modelled with a version of normal compliance condition and the associated Coulomb’s law of friction in which the adhesion of contact surfaces is taken into account. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem. The proof is based on a classical existence anduniqueness result on parabolic equalities, differential equations and fixed point arguments.