A piezoelectric contact problem with normal compliance

• Autorzy: Mircea Sofonea , Youssef Ouafik
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 74M15: Contact
• 74M99: None of the above, but in this section
• 74M10: Friction
• 49J40: Variational methods including variational inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2005
• Tom: 32
• Numer: 4
• Strony: 425-442

Daty

wydano

2005

Twórcy

autor

Mircea Sofonea

• Laboratoire de Mathématiques et Physique pour les Systèmes, Université de Perpignan, 52 Avenue de Paul Alduy, 66860 Perpignan, France

autor

Youssef Ouafik

• Laboratoire de Mathématiques et Physique pour les Systèmes, Université de Perpignan, 52 Avenue de Paul Alduy, 66 860 Perpignan, France

Identyfikatory

DOI

10.4064/am32-4-5