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Analysis of an elasto-piezoelectric system of hemivariational inequalities with thermal effects
Authors:Paweł SZAFRANIEC
Affiliation:Faculty of Mathematics and Computer Science, Jagiellonian University in Krakow, ul. ?ojasiewicza 6, 30348 Krakow, Poland
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.
Keywords:dynamic contact  evolution hemivariational inequality  Clarke subdifferential  nonconvex  parabolic  viscoelastic material  frictional contact  weak solution  piezoelectricity  74M15  74F05  35Q74  74H20  35L86  49J40  49J52
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