A variational inequality-based formulation of the frictional contact law with a non-associated sliding rule. (English) Zbl 1005.74043
Summary: 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, can be derived from a single scalar-valued function called bi-potential. This function, which depends on both the velocities and 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.
Keywords:
variational inequality; variational formulation; complex frictional contact law; anisotropic friction condition; non-associated sliding rule; bi-potential; dual pseudo-potentials; convexityReferences:
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