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2006, Volume 6, Issue 6: 1339-1356. Doi: 10.3934/dcdsb.2006.6.1339
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Hemivariational inequality for a frictional contact problem in elasto-piezoelectricity

  • 1.

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

Received:  September 2005
Revised:  April 2006
Published:  November 2006
Abstract / Introduction Related Papers Cited by
    Abstract
  • In this paper we study 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 contact is described by Clarke subdifferential relations of nonmonotone and multivalued character in the normal and 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. Conditions under which a solution of the system is unique are also presented.
    Mathematics Subject Classification: Primary: 74M15, 47J20, 35J85, 74G25, 74G30; Sec-ondary: 35R70, 74F20, 49J40.

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