A quasistatic bilateral contact problem with friction for nonlinear elastic materials
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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.
CitationTouzaline, A. (2006). A quasistatic bilateral contact problem with friction for nonlinear elastic materials. Electronic Journal of Differential Equations, 2006(58), pp. 1-9.
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