Abstract

In this paper, we study a class of dynamic thermal problems involving a frictional normal compliance adhesive contact model and a nonclamped condition for viscoelastic materials. The variational formulation of the problem leads to a general system defined by a second-order quasi-variational evolution inequality on the displacement field coupled with two firstorder evolution equations describing the adhesion and temperature fields. Our main result establishes an existence and uniqueness result of these fields.

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