Uniform strain fields and exact results in an elastoplastic fibre-reinforced composite

Qi-Chang He; Hung Le Quang

doi:10.1016/j.crme.2004.03.001

Uniform strain fields and exact results in an elastoplastic fibre-reinforced composite

Presented by: Évariste Sanchez-Palencia

Qi-Chang He ¹ ; Hung Le Quang ¹

¹ Laboratoire de mécanique, université de Marne-la-Vallée, 19, rue A. Nobel, 77420 Champs sur Marne, France

Comptes Rendus. Mécanique, Volume 332 (2004) no. 7, pp. 547-555.

Abstract
Résumé

This work is concerned with a two-phase material consisting of an elastoplastic matrix reinforced by linearly elastic fibres. It is first shown that uniform strain fields can be generated in this heterogeneous material. A return-mapping based algorithm is then proposed and used to find uniform strain loading paths. With the help of uniform strain fields, exact results, independent of the transverse geometry and arrangement of the fibres, are derived for the effective elastic properties and for the effective initial and current yield surfaces.

Ce travail porte sur un matériau à deux phases, constitué d'une matrice élastoplastique renforcée par des fibres linéairement élastiques. Nous montrons d'abord que des champs de déformation uniformes peuvent être générés dans ce matériau hétérogène. Un algorithme basé sur le « return mapping » est ensuite proposé et utilisé afin de trouver des trajets de chargement produisant des champs de déformation uniformes. A l'aide de ceux-ci, des résultats exacts, indépendants de la géométrie et de la distribution des fibres dans leur plan transverse, sont établis pour les propriétés élastiques macroscopiques et pour les surfaces macroscopiques initiale et actuelle de seuil de plasticité.

Received: 2004-01-30
Accepted: 2004-03-09
Published online: 2004-05-14

DOI: 10.1016/j.crme.2004.03.001

Keywords: Computational solid mechanics, Fibre-reinforced composites, Elastoplasticity, Exact results, Microstructure
Mots-clés : Méchanique des solides numérique, Composites renforcés par des fibres, Elastoplasticité, Résultats exacts, Microstructure

Author's affiliations:

Qi-Chang He ¹; Hung Le Quang ¹

¹ Laboratoire de mécanique, université de Marne-la-Vallée, 19, rue A. Nobel, 77420 Champs sur Marne, France

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Qi-Chang He; Hung Le Quang. Uniform strain fields and exact results in an elastoplastic fibre-reinforced composite. Comptes Rendus. Mécanique, Volume 332 (2004) no. 7, pp. 547-555. doi : 10.1016/j.crme.2004.03.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.03.001/

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Cited by Sources:

^☆ This work was presented at the NATO Advanced Research Workshop on “Nonlinear Homogenization and its Application to Composites, Polycrystals and Smart Materials” held on June 23–26, 2003, Kazimierz, Poland.

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