Mixed hemivariational inequality arising in a thermo-elastic frictional contact problem

Abstract

This paper presents a new mathematical model for the analysis of frictional contact between a thermoelastic body and a foundation. The contact interaction is described through a combination of unilateral frictional conditions, nonmonotone multivalued contact laws, and friction laws formulated via the Clarke subdifferential. A variational formulation of the problem is developed, and the existence and uniqueness of a weak solution are rigorously proved.