A class of hemivariational inequalities for electroelastic contact problems with slip dependent friction doi:10.3934/dcdss.2008.1.117
Stanislaw Migórski - Jagiellonian University, Faculty of Mathematics and Computer Science, Institute of Computer Science, ul. Nawojki 11, 30-072 Krakow, Poland (email) 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.
Keywords: hemivariational inequality, friction, piezoelectric, slip,
subdifferential, contact problem, nonconvex, inclusion.
Received: July 2006; Revised: September 2007; Published: December 2007. |
Abstract
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