Geodesic
A piezoelectric contact problem with normal compliance
Mircea Sofonea 1   ; Youssef Ouafik 2
1 Laboratoire de Mathématiques et Physique pour les Systèmes Université de Perpignan 52 Avenue de Paul Alduy 66860 Perpignan, France
2 Laboratoire de Mathématiques et Physique pour les Systèmes Université de Perpignan 52 Avenue de Paul Alduy 66 860 Perpignan, France
Applicationes Mathematicae, Tome 32 (2005) no. 4, pp. 425-442 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am32-4-5
Keywords: consider mathematical model which describes static frictional contact between piezoelectric body insulator foundation nonlinear electroelastic constitutive law model piezoelectric material normal compliance condition associated version coulombs friction law model contact derive variational formulation model which form coupled system involving displacement electric potential fields provide existence weak solution problem under smallness assumption its uniqueness study dependence solution contact conditions derive convergence result

Mircea Sofonea  1   ; Youssef Ouafik  2

1 Laboratoire de Mathématiques et Physique pour les Systèmes Université de Perpignan 52 Avenue de Paul Alduy 66860 Perpignan, France
2 Laboratoire de Mathématiques et Physique pour les Systèmes Université de Perpignan 52 Avenue de Paul Alduy 66 860 Perpignan, France 
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Mircea Sofonea; Youssef Ouafik. A piezoelectric contact problem
 with normal compliance. Applicationes Mathematicae, Tome 32 (2005) no. 4, pp. 425-442. doi: 10.4064/am32-4-5

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