A variational inequality-based formulation of the frictional contact law with a non-associated sliding rule
✍ Scribed by Mohammed Hjiaj; Géry de Saxcé; Zenon Mróz
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 175 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0997-7538
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✦ Synopsis
We present a variational formulation of a complex frictional contact law with anisotropic friction condition and a nonassociated 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.