ANALYSIS OF AN ELASTO-PIEZOELECTRIC SYSTEM OF HEMIVARIATIONAL INEQUALITIES WITH THERMAL EFFECTS

doi:10.1016/S0252-9602(17)30057-7

Abstract

Abstract:

In this paper we prove the existence and uniqueness of a weak solution for a dynamic electo-viscoelastic problem that describes a contact between a body and a foundation. We assume the body is made from thermoviscoelastic material and consider nonmonotone boundary conditions for the contact.We use recent results from the theory of hemivariational inequalities and the fixed point theory.

Key words: dynamic contact, evolution hemivariational inequality, Clarke subdifferential, nonconvex, parabolic, viscoelastic material, frictional contact, weak solution, piezoelectricity

Paweł SZAFRANIEC. ANALYSIS OF AN ELASTO-PIEZOELECTRIC SYSTEM OF HEMIVARIATIONAL INEQUALITIES WITH THERMAL EFFECTS[J].Acta mathematica scientia,Series B, 2017, 37(4): 1048-1060.

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