Study of a contact problem with normal compliance and nonlocal friction

Arezki Touzaline. "Study of a contact problem with normal compliance and nonlocal friction." Applicationes Mathematicae 39.1 (2012): 43-55. <http://eudml.org/doc/279870>.

@article{ArezkiTouzaline2012,
abstract = {We consider a static frictional contact between a nonlinear elastic body and a foundation. The contact is modelled by a normal compliance condition such that the penetration is restricted with unilateral constraint and associated to the nonlocal friction law. We derive a variational formulation and prove its unique weak solvability if the friction coefficient is sufficiently small. Moreover, we prove the continuous dependence of the solution on the contact conditions. Also we study the finite element approximation of the problem and obtain an error estimate.},
author = {Arezki Touzaline},
journal = {Applicationes Mathematicae},
keywords = {nonlinear elasticity; normal compliance; nonlocal friction; variational inequality; weak solution},
language = {eng},
number = {1},
pages = {43-55},
title = {Study of a contact problem with normal compliance and nonlocal friction},
url = {http://eudml.org/doc/279870},
volume = {39},
year = {2012},
}

TY - JOUR
AU - Arezki Touzaline
TI - Study of a contact problem with normal compliance and nonlocal friction
JO - Applicationes Mathematicae
PY - 2012
VL - 39
IS - 1
SP - 43
EP - 55
AB - We consider a static frictional contact between a nonlinear elastic body and a foundation. The contact is modelled by a normal compliance condition such that the penetration is restricted with unilateral constraint and associated to the nonlocal friction law. We derive a variational formulation and prove its unique weak solvability if the friction coefficient is sufficiently small. Moreover, we prove the continuous dependence of the solution on the contact conditions. Also we study the finite element approximation of the problem and obtain an error estimate.
LA - eng
KW - nonlinear elasticity; normal compliance; nonlocal friction; variational inequality; weak solution
UR - http://eudml.org/doc/279870
ER -