Geodesic
Analysis and numerical approximation of an elastic frictional contact problem with normal compliance
Applicationes Mathematicae, Tome 26 (1999) no. 4, pp. 415-435.

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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.
DOI : 10.4064/am-26-4-415-435
Keywords: normal compliance, finite element approximation, Coulomb's law, error estimates, frictional contact, variational inequality, fixed point

Weimin Han 1 ; Mircea Sofonea 1

1 
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Weimin Han; Mircea Sofonea. Analysis and numerical approximation of an elastic frictional contact problem with normal compliance. Applicationes Mathematicae, Tome 26 (1999) no. 4, pp. 415-435. doi : 10.4064/am-26-4-415-435. http://geodesic.mathdoc.fr/articles/10.4064/am-26-4-415-435/

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