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A class of hemivariational inequalities for electroelastic contact problems with slip dependent friction

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  • In this paper we deal with a class of inequality problems for static frictional contact between a piezoelastic body and a foundation. The constitutive law is assumed to be electrostatic and involves a nonlinear elasticity operator. The friction condition is described by the Clarke subdifferential relations of nonmonotone and multivalued character in the tangential directions on the boundary. We derive a variational formulation which is a coupled system of a hemivariational inequality and an elliptic equation. The existence of solutions to the model is a consequence of a more general result obtained from the theory of pseudomonotone mappings.
    Mathematics Subject Classification: Primary: 74M15, 47J20, 35J85, 74G25, 74G30; Secondary:35R70, 74F20, 49J40.


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