VARIATIONAL ANALYSIS OF A VISCOELASTIC FRICTIONAL CONTACT WITH LONG-TERM MEMORY BODY WITH THERMAL EFFECTS

In this article we study a mathematical model which describes the quasi-static process of contact between piezoelectric body with long-term memory and an obstacle. The is modeled normal conformity condition version Coulom's law. evolution temperature described by first kind equation. problem formulated as system scalable elliptical variational inequalities for displacement, equality electrical stress. We prove existence unique weak solution to problem. proof based on arguments from time-dependent inequalities, differential equations fixed point.