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A quasistatic contact problem with unilateral constraint and slip-dependent friction

Volume 42 / 2015

Arezki Touzaline Applicationes Mathematicae 42 (2015), 167-182 MSC: 35J85, 49J40, 47J20, 74M15. DOI: 10.4064/am42-2-4

Abstract

We consider a mathematical model of a quasistatic contact between an elastic body and an obstacle. The contact is modelled with unilateral constraint and normal compliance, associated to a version of Coulomb's law of dry friction where the coefficient of friction depends on the slip displacement. We present a weak formulation of the problem and establish an existence result. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments.

Authors

  • Arezki TouzalineFaculté de Mathématiques, USTHB
    Laboratoire de Systèmes Dynamiques
    BP 32 El Alia
    Bab Ezzouar, 16111, Algeria
    e-mail

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