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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am42-2-4,
author = {Arezki Touzaline},
title = {A quasistatic contact problem with unilateral constraint and slip-dependent friction},
journal = {Applicationes Mathematicae},
volume = {42},
year = {2015},
pages = {167-182},
zbl = {1327.74120},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am42-2-4}
}
Arezki Touzaline. A quasistatic contact problem with unilateral constraint and slip-dependent friction. Applicationes Mathematicae, Tome 42 (2015) pp. 167-182. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am42-2-4/