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D4-symmetric periodic orbits in O(2)-equivariant systems
Hemivariational inequality for a frictional contact problem in
elasto-piezoelectricity
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.