Geodesic
A quasistatic bilateral contact problem with friction for nonlinear elastic materials
Electronic journal of differential equations, Tome 2006 (2006)
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 
@article{EJDE_2006__2006__a123,
     author = {Touzaline,  Arezki},
     title = {A quasistatic bilateral contact problem with friction for nonlinear elastic materials},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1128.74321},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a123/}
}
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%A Touzaline,  Arezki
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%J Electronic journal of differential equations
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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/