%0 Journal Article
%T A quasi-static contact problem with friction in electro viscoelasticity with long-term memory body with damage and thermal effects.
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Hamidat, Ahmed
%A Aissaoui, Adel
%D 2022
%\ 07/01/2022
%V 13
%N 2
%P 205-220
%! A quasi-static contact problem with friction in electro viscoelasticity with long-term memory body with damage and thermal effects.
%K Electro-viscoelasticity
%K quasistatic
%K Damage
%K Temperature
%K differential equations
%K Fixed point
%R 10.22075/ijnaa.2022.24226.2696
%X In this paper, we consider a mathematical model that describes the quasi-static process of contact between a piezoelectric body and a deformable foundation. A nonlinear thermo-electro-viscoelastic constitutive law with long-term memory and damage is used and the contact is described with the normal compliance condition and a version of Coulombâ€™s law of friction. We derive variational formulation for the model which is in the form of a system involving the displacement field, the electric potential field, the temperature field and the damage field, the existence and uniqueness of a weak solution to the problem are proved. The proof is based on arguments of time-dependent variational inequalities, parabolic inequalities, differential equations and fixed points.
%U https://ijnaa.semnan.ac.ir/article_6176_f1893b8dfc040301ce3f5b81aaceb52d.pdf