Analysis of a contact adhesive problem with normal compliance and nonlocal friction

Arezki Touzaline. "Analysis of a contact adhesive problem with normal compliance and nonlocal friction." Annales Polonici Mathematici 104.2 (2012): 175-188. <http://eudml.org/doc/280421>.

@article{ArezkiTouzaline2012,
abstract = {The paper deals with the problem of a quasistatic frictional contact between a nonlinear elastic body and a deformable foundation. The contact is modelled by a normal compliance condition in such a way that the penetration is restricted with a unilateral constraint and associated to the nonlocal friction law with adhesion. The evolution of the bonding field is described by a first-order differential equation. We establish a variational formulation of the mechanical problem and prove an existence and uniqueness result under a smallness assumption on the friction coefficient by using arguments of time-dependent variational inequalities, differential equations and the Banach fixed-point theorem.},
author = {Arezki Touzaline},
journal = {Annales Polonici Mathematici},
keywords = {variational inequality; existence; uniqueness; Banach fixed point theorem},
language = {eng},
number = {2},
pages = {175-188},
title = {Analysis of a contact adhesive problem with normal compliance and nonlocal friction},
url = {http://eudml.org/doc/280421},
volume = {104},
year = {2012},
}

TY - JOUR
AU - Arezki Touzaline
TI - Analysis of a contact adhesive problem with normal compliance and nonlocal friction
JO - Annales Polonici Mathematici
PY - 2012
VL - 104
IS - 2
SP - 175
EP - 188
AB - The paper deals with the problem of a quasistatic frictional contact between a nonlinear elastic body and a deformable foundation. The contact is modelled by a normal compliance condition in such a way that the penetration is restricted with a unilateral constraint and associated to the nonlocal friction law with adhesion. The evolution of the bonding field is described by a first-order differential equation. We establish a variational formulation of the mechanical problem and prove an existence and uniqueness result under a smallness assumption on the friction coefficient by using arguments of time-dependent variational inequalities, differential equations and the Banach fixed-point theorem.
LA - eng
KW - variational inequality; existence; uniqueness; Banach fixed point theorem
UR - http://eudml.org/doc/280421
ER -