Geodesic
A quasistatic unilateral contact problem with slip-dependent coefficient of 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: 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 
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     author = {Touzaline, Arezki},
     title = {A quasistatic unilateral contact problem with slip-dependent coefficient of 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__a156/}
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Touzaline, Arezki. A quasistatic unilateral contact problem with slip-dependent coefficient of friction for nonlinear elastic materials. Electronic Journal of Differential Equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a156/