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

Qi-Chang He (1) , H. Le Quang (1)

1 LaM - Laboratoire de Mécanique

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. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.

Domaines: Mécanique [physics.med-ph]

Qi-Chang He, H. Le Quang. Uniform strain fields and exact results in an elastoplastic fibre-reinforced composite. Comptes Rendus Mécanique, 2004, 332 (7), pp.547--555. ⟨10.1016/j.crme.2004.03.001⟩. ⟨hal-00694255⟩