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Strain localization analysis using a multiscale model

Article dans une revue avec comité de lecture
Author
FRANZ, Gérald
ccABED-MERAIM, Farid 
1104 Laboratoire de physique et mécanique des matériaux [LPMM]
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]
BEN ZINEB, Tarak
LEMOINE, Xavier
BERVEILLER, Marcel

URI
http://hdl.handle.net/10985/8935
DOI
10.1016/j.commatsci.2008.05.033
Date
2009
Journal
Computational Materials Science

Abstract

In order to analyze the formability of steels in sheet metal forming, a ductility loss criterion is coupled with a multiscale model. The behavior at the mesoscopic (grain) scale is modeled by a large strain micromechanical constitutive law, which is then used in a self-consistent scale transition scheme. Hardening at the slip system level is taken into account through mean dislocation densities considered as internal variables. The determination of active slip systems and the calculation of plastic slip activity are achieved with help of a regularization technique drawn from viscoplastic formulations. The model is shown to be able to correctly simulate the macroscopic behavior for single-phase steels during both monotonic and sequential loading paths. Finally, Rice's localization criterion, based on the ellipticity loss of the elastic-plastic tangent modulus, is introduced and applied to determine forming limit diagrams (FLDs). The model allows us to obtain correct FLDs for monotonic as well as sequential loading paths. Pre-strain impact on FLDs is qualitatively reproduced as well.

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