Comptes Rendus
Construction of a bipotential representing a linear non-associated constitutive law
Comptes Rendus. Mécanique, Volume 341 (2013) no. 9-10, pp. 667-671.

We consider a material whose stress–strain relation is linear but not symmetrical. As the research of a potential is futile, we attempt to represent the constitutive law by a bipotential. Fitzpatrick method leads us to construct a suitable increasing sequence of bipotentials. The technique is exemplified on coaxial constitutive laws.

Nous considérons un matériau dont la relation contraintes–déformations est linéaire, mais pas symétrique. La recherche dʼun potentiel étant vaine, nous tentons de représenter la loi de comportement par un bipotentiel. La méthode de Fitzpatrick conduit à construire une suite croissante appropriée de bipotentiels. La technique est illustrée sur lʼexemple des lois coaxiales.

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Accepted:
Published online:
DOI: 10.1016/j.crme.2013.09.002
Keywords: Non-associated constitutive law, Non-standard materials, Implicit standard materials, n-Monotonicity, Bipotentials
Mot clés : Lois de comportement non associées, Matériaux non standard, Matériaux standard implicites, Matériaux n-monotones, Bipotentiels

Arjdal El Hanafi 1; Jamal Chaoufi 1; Claude Vallée 2; Arnaud Germaneau 2; Kossi Atchonouglo 3; Hassan Fatmaoui 1; Abdelaaziz Ghafiri 1

1 Laboratory of Electronics, Signal Processing and Modelling Physics, Department of Physics, University Ibn Zohr, 80000 Agadir, Morocco
2 University of Poitiers, Institut P′, UPR CNRS 3346, SP2MI, téléport 2, 11, bd Marie-et-Pierre-Curie, BP 30179, 86962 Futuroscope-Chasseneuil, France
3 University of Lomé, Department of Physics, BP 1515, Lomé, Togo
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Arjdal El Hanafi; Jamal Chaoufi; Claude Vallée; Arnaud Germaneau; Kossi Atchonouglo; Hassan Fatmaoui; Abdelaaziz Ghafiri. Construction of a bipotential representing a linear non-associated constitutive law. Comptes Rendus. Mécanique, Volume 341 (2013) no. 9-10, pp. 667-671. doi : 10.1016/j.crme.2013.09.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.09.002/

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