Geodesic
A quasistatic bilateral contact problem with friction for nonlinear elastic materials
Electronic Journal of Differential Equations, Tome 2006 (2006).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35J85, 49J40, 47J20, 58E35
Keywords: nonlinear elasticity, bilateral contact, friction, variational inequality, weak solution 
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     author = {Touzaline, Arezki},
     title = {A quasistatic bilateral contact problem with friction for nonlinear elastic materials},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2006},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a123/}
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Touzaline, Arezki. A quasistatic bilateral contact problem with friction for nonlinear elastic materials. Electronic Journal of Differential Equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a123/