Analysis results for dynamic contact problem with friction in thermo-viscoelasticity

Abstract

Abstra t. We present a mathemati al model whi h des ribes the dynami fri tional onta t between a thermo-vis oelast body and a ondu tive foundation. The onta t is modeled using the normal omplian e ondition, the quasistati version of Coulomb's law of fry fri tion. We derive the weak formulation and we prove the existen e and uniqueness result. The proofs are based on the theory of rst-order and se ond-order evolution inequalities and Bana h xed point theorem. We introdu e a new problem on perturbation of the onta t boundary ondition and we establish its ontinuous dependen e result.