Analysis of a Viscoelastic Antiplane Contact Problem With Slip-Dependent Friction

• Autorzy: Hoarau-Mantel T. V. , Matei A.
• Języki publikacji: EN

Abstrakty

EN

We study a mathematical problem modelling the antiplane shear deformation of a viscoelastic body in frictional contact with a rigid foundation. The contact is bilateral and is modelled with a slip-dependent friction law. We present the classical formulation for the antiplane problem and write the corresponding variational formulation. Then we establish the existence of a unique weak solution to the model, by using the Banach fixed-point theorem and classical results for elliptic variational inequalities. Finally, we prove that the solution converges to the solution of the corresponding elastic problem as the viscosity converges to zero.

Słowa kluczowe

EN

antiplane problem; slip-dependent friciotn law; viscoelastic law

PL

zagadnienie antypłaskie; prawo tarcia; lepkosprężystość

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 1
• Strony: 51--58
• Opis fizyczny: Bibliogr.12 poz.

Twórcy

autor

Hoarau-Mantel T. V.

• University of Perpignan, Laboratoire de Théorie des Systèmes, 52 Avenue de Villeneuve, 66860 Perpignan cedex, France

autor

Matei A.

• University of Craiova, Department of Mathematics, Str. “Al. I. Cuza" 13, 1100 Craiova, Romania

Bibliografia

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