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Dynamic bilateral contact problem for viscoelastic piezoelectric materials with adhesion. (English) Zbl 1142.74032

Summary: We examine a model of dynamic viscoelastic adhesive contact between a piezoelectric body and deformable foundation. The model consists of a system of hemivariational inequalities of hyperbolic type for displacement, a time-dependent elliptic equation for electric potential and an ordinary differential equation for adhesion field. In the hemivariational inequalities the friction forces are derived from a nonconvex superpotential through the generalized Clarke subdifferential. The existence of a weak solution is proved by embedding the problem into a class of second-order evolution inclusions and by applying a surjectivity result for multivalued operators.

MSC:

74M15 Contact in solid mechanics
74F15 Electromagnetic effects in solid mechanics
74H20 Existence of solutions of dynamical problems in solid mechanics
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