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Migórski, Stanisław; Ochal, Anna

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

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 2, 495-509 (2008).
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.

Cited in 23 Documents

MSC:

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

Keywords:

hemivariational inequality; Clarke subdifferential; existence; weak solution
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\textit{S. Migórski} and \textit{A. Ochal}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 2, 495--509 (2008; Zbl 1142.74032)
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References:

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