Accéder directement au contenu Accéder directement à la navigation
Article dans une revue

Equivalent Inclusion Approach for Micromechanics Estimates of Nanocomposite Elastic Properties

Abstract : Classical micromechanics approaches for heterogeneous media assume perfect bonding between phases, implying that both displacement and stress vectors are continuous across the interface between the phases. When nanoinclusions are involved, a stress vector discontinuity in the local equilibrium has to be accounted for. In this framework, this paper derives an approximate solution of the Lippmann-Schwinger (L-S) equation, which accounts for these surface stresses. This approach suggests introducing the concept of an equivalent particle that combines the particle with the surrounding interface, which can be directly implemented in any standard homogenization procedure, such as the Mori-Tanaka scheme. Analytical expressions for the stiffness tensor of the equivalent particle is derived for spheroidal inclusions, accounting for a wide range of nanoinclusion shapes and dimensions. Finally, an energy-based analysis proves how the dramatic increase of the elastic properties is controlled, for a given volume fraction, by the smallest size of the nanoinclusions.
Liste complète des métadonnées

Littérature citée [26 références]  Voir  Masquer  Télécharger

https://hal-enpc.archives-ouvertes.fr/hal-01773750
Contributeur : Sébastien Brisard <>
Soumis le : vendredi 27 avril 2018 - 09:32:21
Dernière modification le : vendredi 17 juillet 2020 - 17:08:46

Identifiants

Collections

Citation

Luc Dormieux, Éric Lemarchand, Sébastien Brisard. Equivalent Inclusion Approach for Micromechanics Estimates of Nanocomposite Elastic Properties. Journal of Nanomechanics and Micromechanics, American Society of Civil Engineers, 2016, 6 (2), ⟨10.1061/(ASCE)NM.2153-5477.0000104⟩. ⟨hal-01773750⟩

Partager

Métriques

Consultations de la notice

153