Comptes Rendus
Résistance d'un polycristal avec interfaces intergranulaires imparfaites
Comptes Rendus. Mécanique, Volume 335 (2007) no. 1, pp. 25-31.

On s'intéresse à un polycristal poreux constitué de grains en contact le long d'interfaces. On met tout d'abord en œuvre un schéma autocohérent faisant intervenir des pores sphériques ainsi qu'un motif constitué d'un noyau élastique entouré d'une interface également élastique. On établit ensuite une formule permettant de déterminer la moyenne quadratique de la discontinuité de déplacement tangentiel dans les interfaces entre grains. Dans la dernière partie, on applique la méthode sécante modifiée pour déterminer le critère de rupture d'un tel milieu dans l'hypothèse où le solide et les interfaces sont respectivement de type von Mises et Tresca.

A porous polycrystal made up of grains in contact along interfaces is considered. First, a self-consistent scheme including spherical pores and a pattern comprising a spherical elastic core surrounded by an elastic interface is implemented. Then, a formula giving the quadratic average of the tangential displacement discontinuity in the interfaces is established. Finally, the modified secant method is applied to the determination of the effective strength criterion in the case of a von Mises solid and interfaces of the Tresca type.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2006.11.005
Mots-clés : Mécanique des solides numérique, Milieux granulaires, Milieux poreux, Interface, Micromécanique, Résistance, Schéma auto-cohérent
Keywords: Computational solid mechanics, Granular media, Porous media, Interface, Micromechanics, Strength, Self-consistent scheme

Luc Dormieux 1 ; Julien Sanahuja 2 ; Yamen Maalej 1

1 LMSGC, UMR 113 CNRS/ENPC/LCPC, 77455 Marne-la-Vallée, France
2 Lafarge centre de recherche, 95, rue du Montmurier, BP 15, 38291 Saint-Quentin Fallavier cedex, France
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Luc Dormieux; Julien Sanahuja; Yamen Maalej. Résistance d'un polycristal avec interfaces intergranulaires imparfaites. Comptes Rendus. Mécanique, Volume 335 (2007) no. 1, pp. 25-31. doi : 10.1016/j.crme.2006.11.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.11.005/

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