Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
27 January 2020 |
11 February 2020 |
10 March 2020 |
Abstract: In this work we deal with a mathematical model which describes the frictional contact between a piezoelectric body and a thermally-electrically conductive foundation. The process is dynamic and the frictional contact is described by subdifferential boundary conditions which include, as a particulary case various contact, friction laws and electrical-thermal conditions. The material is assumed to have a nonlinear behavior and it is modeled with a viscoelastic constituve law with a long-term memory, which includes the electrical and thermal effects. We derive the variational formulation of the problem which is in the form of a system involving integral equation coupled with a two evolutionary inequalities. We prove the existence and the regularity properties of a unique weak solution to the model. The proof is based on argument of abstract second order evolutionary inclusions with monotone operators and the theory of hemivariational inequalities by using a fixed point argument.
