Geodesic
A quasistatic bilateral contact problem with friction for nonlinear elastic materials
Electronic journal of differential equations, Tome 2006 (2006)
Existence of a weak solution under a smallness assumption of the coefficient of friction for the problem of quasistatic frictional contact between a nonlinear elastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a slip dependent friction coefficient and a nonlocal and regularized contact pressure. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments.
Classification : 35J85, 49J40, 47J20, 74M15
Keywords: existence, quasistatic, nonlinear elastic, slip-dependent friction, incremental, variational inequality 
@article{EJDE_2006__2006__a156,
     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__a156/}
}
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%A Touzaline,  Arezki
%T A quasistatic bilateral contact problem with friction for nonlinear elastic materials
%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__a156/