Comptes Rendus
no. 7
Theoretical modeling and numerical study of coalescence of cavities in porous ductile viscoplastic solids
[Modélisation théorique et simulation numérique de la coalescence des cavités dans les matériaux poreux ductiles viscoplastiques]

Présenté par : Jean-Baptiste Leblond

Laïla Flandi1  ; Jean-Baptiste Leblond1
1 LMM, Université Paris VI, tour 65-55, 4, place Jussieu, 75252 Paris Cedex 05, France
Comptes Rendus. Mécanique, Volume 333 (2005) no. 7, pp. 542-549.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2005.06.009
Keywords: Porous media, Coalescence of cavities, Porous viscoplastic materials, Model ‘in layers’, Micromechanical numerical simulations
Mot clés : Milieux poreux, Coalescence de cavités, Matériaux viscoplastiques poreux, Modèle « en couches », Simulations numériques micromécaniques
Laïla Flandi 1 ; Jean-Baptiste Leblond 1

1 LMM, Université Paris VI, tour 65-55, 4, place Jussieu, 75252 Paris Cedex 05, France 
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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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