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Mathematics and Mechanics of Solids
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Article

Blurred Constitutive Laws and Bipotential Convex Covers

Géry de Saxcé1*, Marius Buliga2, and Claude Vallée3

1 Laboratoire de Mécanique de Lille, UMR CNRS 8107, Université des Sciences et Technologies de Lille, Bâtiment Boussinesq, Cité Scientifique
2 "Simion Stoilow" Institute of Mathematics of the Romanian Academy
3 Laboratoire de Mecanique des Solides, UMR 6610, UFR SFA-SP2MI, bd M. et P. Curie, teleport 2, BP 30179

* To whom correspondence should be addressed. E-mail: gery.desaxce{at}univ-lille1.fr.


  Abstract

In many practical situations, uncertainties affect the mechanical behavior that is given by a family of graphs instead of a single graph. In this paper, we show how the bipotential method is able to capture such blurred constitutive laws, using bipotential convex covers.

First published on September 11, 2009
Mathematics and Mechanics of Solids 2009, doi:10.1177/1081286509344878
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