Isotropic brittle damage and unilateral effect

Hélène Welemane; Cristina Goidescu

doi:10.1016/j.crme.2010.04.005

Isotropic brittle damage and unilateral effect
[Endommagement isotrope fragile et effet unilatéral]

Hélène Welemane ¹ ; Cristina Goidescu ¹

¹ Université de Toulouse; INP/ENIT; LGP; 47, avenue d'Azereix, 65013 Tarbes, France

Comptes Rendus. Mécanique, Volume 338 (2010) no. 5, pp. 271-276.

Résumé
Abstract

On s'intéresse dans cette Note à la version isotrope d'un modèle macroscopique d'endommagement fragile intégrant les effets unilatéraux proposé par Welemane et Cormery (H. Welemane, F. Cormery, An alternative 3D model for damage induced anisotropy and unilateral effect in microcracked materials, J. Phys. IV 105 (2003) 329–336). Etablie dans un cadre thermodynamique rigoureux, cette formulation utilise une seule variable scalaire d'endommagement et distingue la contribution de chaque ensemble de microfissures parallèles suivant qu'elles sont ouvertes ou fermées. L'introduction de ces effets unilatéraux permet de représenter une élasticité anisotrope lors de la fermeture d'une partie des défauts ainsi que la dissymétrie de réponse entre traction et compression typique des matériaux fragiles.

This Note investigates the isotropic version of a general macroscopic model for brittle damage accounting for unilateral effects proposed by Welemane and Cormery (H. Welemane, F. Cormery, An alternative 3D model for damage induced anisotropy and unilateral effect in microcracked materials, J. Phys. IV 105 (2003) 329–336). Built within a rigorous thermodynamic framework, the model uses a single scalar damage variable and accounts for the contribution of each set of parallel microcracks whether they are opened or closed. The consideration of unilateral effects allows to represent an anisotropic elastic behaviour induced by the closure of some microcracks and also the dissymmetric response in tension and compression which characterizes brittle materials.

Reçu le : 2009-12-29
Accepté le : 2010-04-12
Publié le : 2010-05-01

DOI : 10.1016/j.crme.2010.04.005

Keywords: Damage, Microcracks, Isotropic model, Unilateral effect
Mot clés : Endommagement, Microfissures, Modèle isotrope, Effet unilatéral

Affiliations des auteurs :

Hélène Welemane ¹ ; Cristina Goidescu ¹

¹ Université de Toulouse; INP/ENIT; LGP; 47, avenue d'Azereix, 65013 Tarbes, France

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     title = {Isotropic brittle damage and unilateral effect},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {271--276},
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     number = {5},
     year = {2010},
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     language = {en},
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Hélène Welemane; Cristina Goidescu. Isotropic brittle damage and unilateral effect. Comptes Rendus. Mécanique, Volume 338 (2010) no. 5, pp. 271-276. doi : 10.1016/j.crme.2010.04.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.04.005/

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