Quasistatic contact problem between thermo-electroelastic bodies with long-term memory and adhesion

Tedjani Hadj ammar

doi:10.26637/mjm402/004

Abstract

We study of a quasistatic frictional contact problem between two thermo-electroelastic bodies with adhesion. The temperature of the materials caused by elastic deformations. The contact is modelled with a version of normal compliance condition and the associated Coulomb’s law of friction in which the adhesion of contact surfaces is taken into account. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem. The proof is based on a classical existence and
uniqueness result on parabolic equalities, differential equations and fixed point arguments.

Keywords:

thermo-electroelastic materials, Adhesion, Coulomb’s law of friction, Normal compliance, Fixed point

Mathematics Subject Classification:

49J40, 74H25

Authors Imprint References Funding Related Articles Downloads

Tedjani Hadj ammar Department of Mathematics, University of El-Oued, Algeria. https://orcid.org/0000-0002-5302-4845

Pages: 211-223
Date Published: 01-04-2016
Vol. 4 No. 02 (2016): Malaya Journal of Matematik (MJM)

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