A quasistatic contact problem with slip dependent coefficient of friction for elastic materials

• Autorzy: Corneschi C. , Hoarau-Mantel T.-V. T.-V. , Sofonea M.
• Języki publikacji: EN

Abstrakty

EN

We consider a mathematical model which describes the frictional contact between a deformable body and an obstacle, say a foundation. The body is assumed to be linear elastic and the contact is modeled with a version of Coulomb's law of dry friction in which the normal stress is prescribed on the contact surface. The novelty consists here in the fact that we consider a slip dependent coefficient of friction and a quasistatic process. We present two alternative yet equivalent formulations of the problem and establish existence and uniqueness results. The proofs are based on a new result obtained in [10] in the study of evolutionary variational inequalities.

Słowa kluczowe

EN

elastic material; quasistatic process; Coulomb`s law; slip dependent friction; variational inequality; weak solution

PL

elastyczny materiał; przemiana quasi-statyczna; prawo Coulomba; poślizg zależny od tarcia; nierówności wariacyjne; słabe rozwiązanie

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2002
• Tom: Vol. 8, nr 1
• Strony: 63--82
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Corneschi C.

• Departement of Mathematics University "Al. I. Cuza" Bd. Carol No. 11, 6600 Iasi Romania

autor

Hoarau-Mantel T.-V. T.-V.

• Laboratoire de Théorie des Systèmes, Universitéde Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France

autor

Sofonea M.

• Laboratoire de Théorie des Systèmes, Universitéde Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France

Bibliografia

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