Towards improved Hashin–Shtrikman bounds on the effective moduli of random composites

Abstract : The celebrated bounds of Hashin and Shtrikman on the effective properties of composites are valid for a very wide class of materials. However, they incorporate only a very limited amount of information on the microstructure (volume fraction of each phase in the case of isotropic microstructures). As a result, they are generally not tight. In this work, we present an attempt at improving these bounds by incorporating explicitly the local volume fraction to the set of local descriptors of the microstructure. We show that, quite unexpectedly, the process fails in the sense that the classical bounds are retrieved. We further show that this negative result applies to so-called weakly isotropic local descriptors of the microstructure (to be defined in this paper). This suggests that improved bounds may be obtained with anisotropic descriptors.
Type de document :
Article dans une revue
Mechanics & Industry, EDP Sciences, 2017, 18 (2), pp.214. 〈https://doi.org/10.1051/meca/2016037〉. 〈10.1051/meca/2016037〉
Liste complète des métadonnées

Littérature citée [14 références]  Voir  Masquer  Télécharger

https://hal-enpc.archives-ouvertes.fr/hal-01474668
Contributeur : Sébastien Brisard <>
Soumis le : jeudi 23 février 2017 - 08:34:22
Dernière modification le : mardi 28 août 2018 - 07:26:01
Document(s) archivé(s) le : mercredi 24 mai 2017 - 12:32:58

Fichier

Towards_improved_HS_bounds-Pos...
Fichiers produits par l'(les) auteur(s)

This is the post-print (ie final draft post-refereeing) version of the article "Towards improved Hashin-Shtrikman bounds on the effective moduli of random composites" by Sébastien Brisard. The original publication is available at www.mechanics-industry.org (doi:10.1051/meca/2016037).

Identifiants

Collections

Citation

Sébastien Brisard. Towards improved Hashin–Shtrikman bounds on the effective moduli of random composites. Mechanics & Industry, EDP Sciences, 2017, 18 (2), pp.214. 〈https://doi.org/10.1051/meca/2016037〉. 〈10.1051/meca/2016037〉. 〈hal-01474668〉

Partager

Métriques

Consultations de la notice

269

Téléchargements de fichiers

158