A variational formulation for the incremental homogenization of elasto-plastic composites - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of the Mechanics and Physics of Solids Année : 2011

A variational formulation for the incremental homogenization of elasto-plastic composites

Résumé

This work addresses the micro-macro modeling of composites having elasto-plastic constituents. A new model is proposed to compute the effective stress-strain relation along arbitrary loading paths. The proposed model is based on an incremental variational principle (Ortiz, M., Stainier, L, 1999. The variational formulation of viscoplastic constitutive updates. Comput. Methods Appl. Mech. Eng. 171 419-444) according to which the local stress-strain relation derives from a single incremental potential at each time step. The effective incremental potential of the composite is then estimated based on a linear comparison composite (LCC) with an effective behavior computed using available schemes in linear elasticity. Algorithmic elegance of the time-integration integration of J(2) elasto-plasticity is exploited in order to define the LCC. In particular, the elastic predictor strain is used explicitly. The method yields a homogenized yield criterion and radial return equation for each phase, as well as a homogenized plastic flow rule. The predictive capabilities of the proposed method are assessed against reference full-field finite element results for several particle-reinforced composites.
Fichier principal
Vignette du fichier
2011-jmps59_12B.pdf (343.2 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01004965 , version 1 (24-06-2019)

Identifiants

Citer

L. Brassart, Laurent Stainier, I. Doghri, L. Delannay. A variational formulation for the incremental homogenization of elasto-plastic composites. Journal of the Mechanics and Physics of Solids, 2011, 59 (12), pp.2455-2475. ⟨10.1016/j.jmps.2011.09.004⟩. ⟨hal-01004965⟩
80 Consultations
461 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More