Existence and construction of bipotentials for graphs of multivalued laws
Functional Analysis
2019-02-18 v4 Spectral Theory
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.
Cite
@article{arxiv.math/0608424,
title = {Existence and construction of bipotentials for graphs of multivalued laws},
author = {Marius Buliga and Gery de Saxce and Claude Vallee},
journal= {arXiv preprint arXiv:math/0608424},
year = {2019}
}
Comments
Accepted for publication in the Journal of Convex Analysis