ANALYSIS OF A DYNAMIC ELASTO-VISCOPLASTIC FRICTIONLESS ANTIPLAN CONTACT PROBLEM WITH NORMAL COMPLIANCE
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Date
2021
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Publisher
Université de M'sila
Abstract
We consider a mathematical model which describes the dynamic evolution of a
thermo elasto viscoplastic contact problem between a body and a rigid foundation. The mechanical
and thermal properties of the obstacle coating material near its surface. A variational
formulation of this dynamic contact phenomenon is derived in the context of general models
of thermo elasto viscoplastic materials. The displacements and temperatures of the bodies in
contact are governed by the coupled system consisting of a variational inequality and a parabolic
differential equation. The proof is based on a classical existence and uniqueness result on
parabolic inequalities,differential equations and fixed point arguments