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Abstract
We consider a mathematical model which describes the frictional contact between a deformable body and an obstacle, say a foundation. The body is assumed to be linear elastic and the contact is modeled with a version of Coulomb's law of dry friction in which the normal stress is prescribed on the contact surface. The novelty consists here in the fact that we consider a slip dependent coefficient of friction and a quasistatic process. We present two alternative yet equivalent formulations of the problem and establish existence and uniqueness results. The proofs are based on a new result obtained in [Motreanu and Sofonea, Abstr. Appl. Anal. 4: 255–279, 1999] in the study of evolutionary variational inequalities.
Key words and phrases.: Elastic material; quasistatic process; Coulomb's law; slip dependent friction; variational inequality; weak solution
Received: 2000-10-24
Revised: 2001-07-24
Published Online: 2010-06-07
Published in Print: 2002-June
© Heldermann Verlag
