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Article Dans Une Revue European Journal of Mechanics - A/Solids Année : 2002

A variational inequality-based formulation of the frictional contact law with a non-associated sliding rule

Mohammed Hjiaj
Zenon Mroz
  • Fonction : Auteur

Résumé

We present a variational formulation of a complex frictional contact law with anisotropic friction condition and a non-associated sliding rule. The distinguishing characteristic of the proposed formulation is that the interface law, as well as its inverse, derive from a single scalar-valued function called bi-potential. This function, which depends on both the velocities and the associated forces, is split into the sum of two dual pseudo-potentials for standard multivalued laws. The main advantages of the formalism are the compact form taken by the present complex law and convexity property of the bi-potential that can be exploited for numerical purposes.

Dates et versions

hal-00140254 , version 1 (05-04-2007)

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Citer

Mohammed Hjiaj, Géry de Saxcé, Zenon Mroz. A variational inequality-based formulation of the frictional contact law with a non-associated sliding rule. European Journal of Mechanics - A/Solids, 2002, 21 (1), pp.49-59. ⟨10.1016/S0997-7538(01)01183-4⟩. ⟨hal-00140254⟩

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