MOREAU, Charles; BERBENNI, Stéphane

doi:10.1016/j.ijplas.2014.08.011

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MOREAU, Charles
Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]

BERBENNI, Stéphane
Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]

Langue

Article de revue

Ce document a été publié dans

International Journal of Plasticity. 2015, vol. 64, p. 134-150

Elsevier

Résumé en anglais

The modeling of heterogeneous materials with an elasto-viscoplastic behavior is generally complex because of the differential nature of the local constitutive law. Indeed, the resolution of the heterogeneous problem involves space time couplings which are generally difficult to estimate. In the present paper, a new homogenization model based on an affine linearization of the viscoplastic flow rule is proposed. First, the heterogeneous problem is written in the form of an integral equation. The purely thermoelastic and purely viscoplastic heterogeneous problems are solved independently using the self-consistent approximation. Using translated field techniques, the solutions of the above problems are combined to obtain the final self-consistent formulation. Then, some applications concerning two-phase fiber-reinforced composites and polycrystalline materials are presented. When compared to the reference solutions obtained from a FFT spectral method, a good description of the overall response of heterogeneous materials is obtained with the proposed model even when the viscoplastic flow rule is highly non-linear. Thanks to this approach, which is entirely formulated in the real-time space, the present model can be used for studying the response of heterogeneous materials submitted to complex thermo-mechanical loading paths with a good numerical efficiency.< Réduire

Mots clés

Fibre-reinforced composite

Elastic-viscoplastic material

Microstructures

Polycrystalline material

Homogenization

Mots clés en anglais

Homogenization

Polycrystalline material

Elastic-viscoplastic material

Fiber-reinforced composite

Microstructures

URI

https://oskar-bordeaux.fr/handle/20.500.12278/76239

DOI

http://dx.doi.org/10.1016/j.ijplas.2014.08.011

Project ANR

Design des Alliages Métalliques pour Allègement des Structures - ANR-11-LABX-0008

Origine

Importé de hal

Unités de recherche

Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295