Self-consistent estimates for nonlinear viscoelastic polycrystals: a simplified resolution of the affine formulation adapted for monotonic loading paths - Archive ouverte HAL Access content directly
Conference Papers Year : 2000

Self-consistent estimates for nonlinear viscoelastic polycrystals: a simplified resolution of the affine formulation adapted for monotonic loading paths

Abstract

A simplified resolution of the self-consistent model for non-linear viscoelastic polycrystals is presented. The formulation is based on an affine linearization of the constitutive relations as recently proposed by Masson and Zaoui [4], which adapts Hill's conception of self-consistent modelling to nonlinear viscoelastic behaviours. The approximation of the inverse Laplace-Carson transform introduced here, which is believed to be well adapted to monotonic loading paths, makes the resolution of the whole self-consistent problem possible in the direct time space. This results in a largely simplified numerical algorithm. Comparisons with the predictions of a model treating accurately the inverse Laplace-Carson transform are presented, and very good results are obtained for creep of FCC and HCP polycrystals.
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Dates and versions

hal-00117815 , version 1 (03-12-2006)

Licence

Attribution - CC BY 4.0

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Cite

Rénald Brenner, Olivier Castelnau, Renaud Masson, Brigitte Bacroix, André Zaoui. Self-consistent estimates for nonlinear viscoelastic polycrystals: a simplified resolution of the affine formulation adapted for monotonic loading paths. AEPA 2000, 2000, Hong-Kong, Hong Kong SAR China. ⟨10.4028/www.scientific.net/KEM.177-180.153⟩. ⟨hal-00117815⟩
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