A quasistatic bilateral contact problem with friction for nonlinear elastic materials

Electronic Journal of Differential Equations

关键词: Nonlinear elasticity;    bilateral contact;    friction;    variational inequality;    weak solution.;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown