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

Arezki Touzaline. "A quasistatic contact problem with unilateral constraint and slip-dependent friction." Applicationes Mathematicae 42.2-3 (2015): 167-182. <http://eudml.org/doc/279867>.

@article{ArezkiTouzaline2015,
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.},
author = {Arezki Touzaline},
journal = {Applicationes Mathematicae},
keywords = {normal compliance; quasistatic; unilateral constraint; slipdependent friction; variational inequality},
language = {eng},
number = {2-3},
pages = {167-182},
title = {A quasistatic contact problem with unilateral constraint and slip-dependent friction},
url = {http://eudml.org/doc/279867},
volume = {42},
year = {2015},
}

TY - JOUR
AU - Arezki Touzaline
TI - A quasistatic contact problem with unilateral constraint and slip-dependent friction
JO - Applicationes Mathematicae
PY - 2015
VL - 42
IS - 2-3
SP - 167
EP - 182
AB - 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.
LA - eng
KW - normal compliance; quasistatic; unilateral constraint; slipdependent friction; variational inequality
UR - http://eudml.org/doc/279867
ER -