APPLICATIONS OF MATHEMATICS, Vol. 45, No. 5, pp. 357-379, 2000

Finite element analysis of a static contact problem with Coulomb friction

Ivan Hlavacek

Ivan Hlavacek, Matematicky ustav AV CR, Zitna 25, 115 67 Praha 1, Czech Republic

Abstract: A unilateral contact problem with a variable coefficient of friction is solved by a simplest variant of the finite element technique. The coefficient of friction may depend on the magnitude of the tangential displacement. The existence of an approximate solution and some a priori estimates are proved.

Keywords: unilateral contact, Coulomb friction, finite elements, existence proofs

Classification (MSC 1991): 65N30, 73T05


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