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A piezoelectric contact problem with normal compliance

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Sofonea M., Ouafik Y.

Applicationes Mathematicae

2005

tom 32

nr 4

425-442

We consider a mathematical model which describes the static frictional contact between a piezoelectric body and an insulator foundation. We use a nonlinear electroelastic constitutive law to model the piezoelectric material and the normal compliance condition associated to a version of Coulomb's friction law to model the contact. We derive a variational formulation for the model which is in the form of a coupled system involving the displacement and the electric potential fields. Then we provide the existence of a weak solution to the problem and, under a smallness assumption, its uniqueness. We also study the dependence of the solution on the contact conditions and derive a convergence result.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Ouafik Y.

1 Sofonea M.

1 2005

Wyniki wyszukiwania

A piezoelectric contact problem with normal compliance