[Un modèle micromécanique d'hyperélasticité avec endommagement : formulation et application à un composite EPDM/PP]
La présente Note concerne la formulation, la mise en oeuvre et une application d'un modèle micromécanique d'endommagement dédié aux matériaux hyperélastiques. L'approche suivie repose sur la méthode d'homogénéisation du second ordre proposée par Lopez-Pamies et Ponte Castañeda (2000) pour les composites hyperélastiques et récemment développée par Lopez-Pamies et Ponte Castañeda (2007) dans le cas des élastomères poreux. On met d'abord en oeuvre le modèle dans le cas de milieux poreux et on procède à sa vérification par comparaison à des simulations éléments finis sur une cellule de base. S'appuyant ensuite sur cette validation numérique et utilisant des arguments thermodynamiques standards, on propose un modèle d'endommagement hyperélastique fondé sur des mécanismes de croissance de cavités. Enfin, on fournit un exemple de validation du modèle par comparaison avec des données expérimentales obtenues sur un composite EPDM/PP.
The present Note concerns the formulation, implementation and a first application of a micromechanically based hyperelastic damage model. The approach is based on the second order homogenization method proposed by Lopez-Pamies and Ponte Castañeda (2000) for hyperelastic composites and recently developed by Lopez-Pamies and Ponte Castañeda (2007) in the case of porous elastomers. We first implement the method and proceed to its verification by comparison with Finite Element simulations on a unit cell. Taking advantage of this validation and by using standard thermodynamics arguments, we propose an hyperelastic damage model founded on voids growth phenomena. Finally, we provide an example of validation of the model by comparison with experimental data obtained on an EPDM/PP composite.
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Mot clés : Endommagement, Hyperélasticité, Matériaux poreux, Micromécanique, Homogénéisation non linéaire, Vérification numérique, Validation expérimentale
@article{CRMECA_2008__336_5_471_0,
author = {Vanessa Bouchart and Mathias Brieu and Djimedo Kondo and Moussa Na{\"\i}t-Abdelaziz},
title = {An homogenization-based hyperelastic damage model: formulation and application to an {EPDM/PP} composite},
journal = {Comptes Rendus. M\'ecanique},
pages = {471--479},
publisher = {Elsevier},
volume = {336},
number = {5},
year = {2008},
doi = {10.1016/j.crme.2008.02.001},
language = {en},
}
TY - JOUR AU - Vanessa Bouchart AU - Mathias Brieu AU - Djimedo Kondo AU - Moussa Naït-Abdelaziz TI - An homogenization-based hyperelastic damage model: formulation and application to an EPDM/PP composite JO - Comptes Rendus. Mécanique PY - 2008 SP - 471 EP - 479 VL - 336 IS - 5 PB - Elsevier DO - 10.1016/j.crme.2008.02.001 LA - en ID - CRMECA_2008__336_5_471_0 ER -
%0 Journal Article %A Vanessa Bouchart %A Mathias Brieu %A Djimedo Kondo %A Moussa Naït-Abdelaziz %T An homogenization-based hyperelastic damage model: formulation and application to an EPDM/PP composite %J Comptes Rendus. Mécanique %D 2008 %P 471-479 %V 336 %N 5 %I Elsevier %R 10.1016/j.crme.2008.02.001 %G en %F CRMECA_2008__336_5_471_0
Vanessa Bouchart; Mathias Brieu; Djimedo Kondo; Moussa Naït-Abdelaziz. An homogenization-based hyperelastic damage model: formulation and application to an EPDM/PP composite. Comptes Rendus. Mécanique, Volume 336 (2008) no. 5, pp. 471-479. doi : 10.1016/j.crme.2008.02.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.02.001/
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