A QUASISTATIC ANTIPLANE THERMAL CONTACT PROBLEM
Vol. 8(2) July 2020, No. 5, pp. 60-70
CHOUGUI RACHID AND LEBRI NEMIRA
This paper is devoted to the study of a mechanical problem modelling the antiplane shear deformation of a cylindrical body in frictionnal contact with a rigid obstacl the so-called foundation. The material is assumed to be thermo-viscoelastic, and the friction is modeled with Trescaís law. We derive a variational formulation of the model whitch is in the form of a system coupling a variational elliptic equality for the displacements and a di§erential heat equation for the temperature. A weak formulation is presented where the existence and uniqueness result estabilished by using general results on evolution equations with monotone operator and Öxed point arguments.