A quasistatic bilateral contact problem with friction for nonlinear elastic materials
Date
2006-05-01
Authors
Touzaline, Arezki
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We consider a mathematical model describing the bilateral contact between a deformable body and a foundation. We use a nonlinear elastic constitutive law. The contact takes into account the effects of friction, which are modelled with the regularized friction law. We derive a variational formulation of the problem and establish the existence of a weak solution under a smallness assumption of the friction coefficient. The proof is based on arguments of compactness, lower semicontinuity and time discretization.
Description
Keywords
Nonlinear elasticity, Bilateral contact, Friction, Variational inequality, Weak solution
Citation
Touzaline, A. (2006). A quasistatic bilateral contact problem with friction for nonlinear elastic materials. <i>Electronic Journal of Differential Equations, 2006</i>(58), pp. 1-9.
Rights
Attribution 4.0 International