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2008, Volume 1, Issue 1: 117-126. Doi: 10.3934/dcdss.2008.1.117
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A class of hemivariational inequalities for electroelastic contact problems with slip dependent friction

  • 1.

    Jagiellonian University, Faculty of Mathematics and Computer Science, Institute of Computer Science, ul. Nawojki 11, 30-072 Krakow

Received:  June 30, 2006
Revised:  August 31, 2007
Published:  February 2008
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    Abstract
  • 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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