[Un nouveau critère de limite d'élasticité pour les bétons]
Le critère proposé utilise deux constantes matériaux. Son gradient et son hessien sont donnés, sa convexité est démontrée, cette dernière ne dépendant que de la positivité des constantes matériau. Ces propriétés induisent une robustesse mathématique qui autorise son emploi futur au sein d'un modèle d'endommagement. La surface de charge obtenue est en bonne adéquation avec les essais biaxiaux de Kupfer. La procédure d'identification, à partir des contraintes limites d'élasticité identifiées en traction et en compression, est donnée.
The yield criterion proposed depends upon two material constants and is proven to be smooth and convex under a simple condition. These properties induce a mathematical robustness that allows a further use in a damage mechanics model. The analytical gradient and Hessian are given. The obtained yield surface is relevant to Kupfer's biaxial testings on concrete. The identification procedure, with respect to the classical uniaxial tension and compression testings, is detailed.
Publié le :
Mots-clés : Endommagement, Critère, Béton
Marc François 1
@article{CRMECA_2008__336_5_417_0,
author = {Marc Fran\c{c}ois},
title = {A new yield criterion for the concrete materials},
journal = {Comptes Rendus. M\'ecanique},
pages = {417--421},
publisher = {Elsevier},
volume = {336},
number = {5},
year = {2008},
doi = {10.1016/j.crme.2008.01.010},
language = {en},
}
Marc François. A new yield criterion for the concrete materials. Comptes Rendus. Mécanique, Volume 336 (2008) no. 5, pp. 417-421. doi : 10.1016/j.crme.2008.01.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.01.010/
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