A quasistatic contact problem with unilateral constraint and slip-dependent friction
Volume 42 / 2015
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.
