[Modélisation théorique et simulation numérique de la coalescence des cavités dans les matériaux poreux ductiles viscoplastiques]
On présente un modèle pour la coalescence des cavités dans les solides poreux ductiles viscoplastiques. Le volume représentatif élémentaire considéré est schématisé par un ‘sandwich’ comprenant une couche centrale poreuse entourée de deux couches externes saines, les tenseurs de contrainte et de taux de déformation étant considérés comme homogènes dans chaque couche. Les couches saines obéissent au modèle classique de Norton et la couche poreuse à un modèle homogénéisé spécifique pour les matériaux poreux viscoplastiques prenant en compte la forme des cavités. Un élément important est la description de l'évolution particulière de cette forme pendant la coalescence. Les prédictions du modèle sont comparées avec succès aux résultats de simulations micromécaniques par éléments finis.
One presents a model for coalescence of cavities in porous ductile viscoplastic solids. The representative volume element considered is schematized as a ‘sandwich’ consisting of a central porous layer surrounded by two external sound layers, the stress and strain rate tensors being considered as homogeneous in each layer. The sound layers obey the classical Norton model and the porous one some specific homogenized model for porous viscoplastic solids accounting for void shape. An important feature is the description of the peculiar evolution of this shape during coalescence. The model predictions are successfully compared to the results of some finite element micromechanical simulations.
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Mot clés : Milieux poreux, Coalescence de cavités, Matériaux viscoplastiques poreux, Modèle « en couches », Simulations numériques micromécaniques
Laïla Flandi 1 ; Jean-Baptiste Leblond 1
@article{CRMECA_2005__333_7_542_0,
author = {La{\"\i}la Flandi and Jean-Baptiste Leblond},
title = {Theoretical modeling and numerical study of coalescence of cavities in porous ductile viscoplastic solids},
journal = {Comptes Rendus. M\'ecanique},
pages = {542--549},
publisher = {Elsevier},
volume = {333},
number = {7},
year = {2005},
doi = {10.1016/j.crme.2005.06.009},
language = {en},
}
TY - JOUR AU - Laïla Flandi AU - Jean-Baptiste Leblond TI - Theoretical modeling and numerical study of coalescence of cavities in porous ductile viscoplastic solids JO - Comptes Rendus. Mécanique PY - 2005 SP - 542 EP - 549 VL - 333 IS - 7 PB - Elsevier DO - 10.1016/j.crme.2005.06.009 LA - en ID - CRMECA_2005__333_7_542_0 ER -
%0 Journal Article %A Laïla Flandi %A Jean-Baptiste Leblond %T Theoretical modeling and numerical study of coalescence of cavities in porous ductile viscoplastic solids %J Comptes Rendus. Mécanique %D 2005 %P 542-549 %V 333 %N 7 %I Elsevier %R 10.1016/j.crme.2005.06.009 %G en %F CRMECA_2005__333_7_542_0
Laïla Flandi; Jean-Baptiste Leblond. Theoretical modeling and numerical study of coalescence of cavities in porous ductile viscoplastic solids. Comptes Rendus. Mécanique, Volume 333 (2005) no. 7, pp. 542-549. doi : 10.1016/j.crme.2005.06.009. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.06.009/
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