Touzaline, Arezki2021-07-162021-07-162006-05-01Touzaline, A. (2006). A quasistatic bilateral contact problem with friction for nonlinear elastic materials. <i>Electronic Journal of Differential Equations, 2006</i>(58), pp. 1-9.1072-6691https://hdl.handle.net/10877/13931We 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.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear elasticityBilateral contactFrictionVariational inequalityWeak solutionArticle