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Existence and construction of bipotentials for graphs of multivalued laws

Marius Buliga·Gery de Saxce·Claude Vallee
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Abstract

This is a first paper in convex analysis dedicated to the bipotential theory, based on an extension of Fenchel's inequality. Introduced by the second author, bipotentials lead to a succesful new treatment of the constitutive laws of some dissipative materials: frictional contact, non-associated Drucker-Prager model, or Lemaitre plastic ductile damage law. We solve here the problems of existence and construction of a bipotential for a nonsmooth mechanics constitutive law.

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Marius Buliga, Gery de Saxce, Claude Vallee. 2007-02-14. Existence and construction of bipotentials for graphs of multivalued laws. https://arxiv.org/abs/math/0608424

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