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1 Journal of Applied Analysis

1 2002

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A quasistatic contact problem with slip dependent coefficient of friction for elastic materials

Corneschi C., Hoarau-Mantel T.-V. T.-V., Sofonea M.

Journal of Applied Analysis

2002

Vol. 8, nr 1

63-82

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 [10] in the study of evolutionary variational inequalities.