A unilateral contact problem with slip-dependent friction

Arezki Touzaline. "A unilateral contact problem with slip-dependent friction." Applicationes Mathematicae 43.1 (2016): 105-116. <http://eudml.org/doc/286394>.

@article{ArezkiTouzaline2016,
abstract = {We consider a mathematical model which describes a static contact between a nonlinear elastic body and an obstacle. The contact is modelled with Signorini's conditions, associated with a slip-dependent version of Coulomb's nonlocal friction law. We derive a variational formulation and prove its unique weak solvability. We also study the finite element approximation of the problem and obtain an optimal error estimate under extra regularity for the solution. Finally, we establish the convergence of an iterative method to the finite element problem.},
author = {Arezki Touzaline},
journal = {Applicationes Mathematicae},
keywords = {nonlinear elasticity; nonlocal friction; variational inequality; approximation},
language = {eng},
number = {1},
pages = {105-116},
title = {A unilateral contact problem with slip-dependent friction},
url = {http://eudml.org/doc/286394},
volume = {43},
year = {2016},
}

TY - JOUR
AU - Arezki Touzaline
TI - A unilateral contact problem with slip-dependent friction
JO - Applicationes Mathematicae
PY - 2016
VL - 43
IS - 1
SP - 105
EP - 116
AB - We consider a mathematical model which describes a static contact between a nonlinear elastic body and an obstacle. The contact is modelled with Signorini's conditions, associated with a slip-dependent version of Coulomb's nonlocal friction law. We derive a variational formulation and prove its unique weak solvability. We also study the finite element approximation of the problem and obtain an optimal error estimate under extra regularity for the solution. Finally, we establish the convergence of an iterative method to the finite element problem.
LA - eng
KW - nonlinear elasticity; nonlocal friction; variational inequality; approximation
UR - http://eudml.org/doc/286394
ER -