ArticleOriginal scientific text
Title
Analysis and numerical approximation of an elastic frictional contact problem with normal compliance
Authors 1, 2
Affiliations
- Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
- Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66 860 Perpignan, France
Abstract
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.
Keywords
normal compliance, finite element approximation, Coulomb's law, error estimates, frictional contact, variational inequality, fixed point
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Pages:
415-435
Main language of publication
English
Received
1998-12-17
Published
1999
Exact and natural sciences