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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-2-5,
author = {Arezki Touzaline},
title = {Analysis of a contact adhesive problem with normal compliance and nonlocal friction},
journal = {Annales Polonici Mathematici},
volume = {105},
year = {2012},
pages = {175-188},
zbl = {1286.74068},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-2-5}
}
Arezki Touzaline. Analysis of a contact adhesive problem with normal compliance and nonlocal friction. Annales Polonici Mathematici, Tome 105 (2012) pp. 175-188. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-2-5/