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

Weimin Han; Mircea Sofonea

doi:10.4064/am-26-4-415-435

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

Journal article

Open access

Peer reviewed

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

Weimin Han and Mircea Sofonea

Applicationes mathematicae, Vol.26(4), pp.415-435

1999

DOI: 10.4064/am-26-4-415-435

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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

Details

Title: Subtitle: Analysis and numerical approximation of an elastic frictional contact problem with normal compliance
Creators: Weimin Han - University of Iowa
Mircea Sofonea - Université de Perpignan
Resource Type: Journal article
Publication Details: Applicationes mathematicae, Vol.26(4), pp.415-435
DOI: 10.4064/am-26-4-415-435
ISSN: 1233-7234
eISSN: 1730-6280
Language: English
Date published: 1999
Academic Unit: Mathematics
Record Identifier: 9984242353702771

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