Comptes Rendus
A generalized-secant homogenization scheme for viscoplastic polycrystalline solids under imposed deformations
Comptes Rendus. Mécanique, Volume 343 (2015) no. 3, pp. 179-186.

Homogenization estimates for viscoplastic polycrystals are derived by applying the generalized-secant linearization scheme of Liu and Ponte Castañeda (2004) [1] to the constitutive description with strain rates as primary variables. The resulting estimates are thus particularly suitable for simulating mechanical processes where deformations are imposed and where the material softens. Their accuracy is preliminarily assessed in the context of a model material system. Good agreement with previous estimates is found.

Des estimations relatives à l'homogénéisation de polycristaux viscoplastiques sont obtenues en appliquant la méthode de linéarisation sécante généralisée de Liu et Ponte Castañeda (2004) [1] au cas d'une relation constitutive où les taux de déformation sont des variables primaires. Les estimations obtenues sont particulièrement adaptées pour simuler des chargements mécaniques où les déformations sont imposées et où le matériau s'adoucit. La précision de ces estimations est évaluée au préalable dans le cas d'un système matériau modèle. Un bon accord est obtenu avec des estimations antérieures.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2014.12.006
Keywords: Polycrystals, Plasticity, Homogenization, Softening
Mot clés : Polycristaux, Plasticité, Homogénéisation, Adoucissement

Martín I. Idiart 1, 2; Pierre-Guy Vincent 3, 4

1 Departamento de Aeronáutica, Facultad de Ingeniería, Universidad Nacional de La Plata, Avda. 1 esq. 47, La Plata B1900TAG, Argentina
2 Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), CCT La Plata, Calle 8 No 1467, La Plata B1904CMC, Argentina
3 Institut de radioprotection et de sûreté nucléaire (IRSN), BP 3, 13115 Saint-Paul-Lez-Durance cedex, France
4 Laboratoire de micromécanique et d'intégrité des structures, IRSN–CNRS–UMII, BP 3, 13115 Saint-Paul-lez-Durance Cedex, France
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Martín I. Idiart; Pierre-Guy Vincent. A generalized-secant homogenization scheme for viscoplastic polycrystalline solids under imposed deformations. Comptes Rendus. Mécanique, Volume 343 (2015) no. 3, pp. 179-186. doi : 10.1016/j.crme.2014.12.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.12.006/

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