Analysis and numerical approximation of an elastic frictional contact problem with normal compliance

• Autorzy: Weimin Han , Mircea Sofonea
• Języki publikacji: EN

Abstrakty

EN

We consider the problem of frictional contact between an elastic body and an obstacle. The elastic constitutive law is assumed to be nonlinear. The contact is modeled with normal compliance and the associated version of Coulomb's law of dry friction. We present two alternative yet equivalent weak formulations of the problem, and establish existence and uniqueness results for both formulations using arguments of elliptic variational inequalities and fixed point theory. Moreover, we show the continuous dependence of the solution on the contact conditions. We also study the finite element approximations of the problem and derive error estimates. Finally, we introduce an iterative method to solve the resulting finite element system.

Słowa kluczowe

EN

normal compliance; finite element approximation; Coulomb's law; error estimates; frictional contact; variational inequality; fixed point

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1999
• Tom: 26
• Numer: 4
• Strony: 415-435

Daty

wydano

1999

otrzymano

1998-12-17

Twórcy

autor

Weimin Han

• Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA

autor

Mircea Sofonea

• Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66 860 Perpignan, France

Bibliografia

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