Geodesic
A quasistatic contact problem with unilateral constraint and slip-dependent friction
Arezki Touzaline 1
1 Faculté de Mathématiques, USTHB Laboratoire de Systèmes Dynamiques BP 32 El Alia Bab Ezzouar, 16111, Algeria
Applicationes Mathematicae, Tome 42 (2015) no. 2-3, pp. 167-182 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am42-2-4
Keywords: consider mathematical model quasistatic contact between elastic body obstacle contact modelled unilateral constraint normal compliance associated version coulombs law dry friction where coefficient friction depends slip displacement present weak formulation problem establish existence result proofs employ time discretization method compactness lower semicontinuity arguments

Arezki Touzaline  1

1 Faculté de Mathématiques, USTHB Laboratoire de Systèmes Dynamiques BP 32 El Alia Bab Ezzouar, 16111, Algeria 
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Arezki Touzaline. A quasistatic contact problem with unilateral constraint and slip-dependent friction. Applicationes Mathematicae, Tome 42 (2015) no. 2-3, pp. 167-182. doi: 10.4064/am42-2-4

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