Existence and construction of bipotentials for graphs of multivalued laws

Details Existence and construction of bipotentials for graphs of multivalued laws Existence and construction of bipotentials for graphs of multivalued laws

2006-08-16

arxiv.org/abs/math/0608424v4

Journal of Convex Analysis 15 (2008), No. 1, 87-104

Mathematics

Functional Analysis

Accepted for publication in the Journal of Convex Analysis

Scientific paper

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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