Numéro |
J. Phys. IV France
Volume 105, March 2003
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Page(s) | 191 - 197 | |
DOI | https://doi.org/10.1051/jp4:20030187 |
J. Phys. IV France 105 (2003) 191
DOI: 10.1051/jp4:20030187
Simulation of the Portevin-Le Chatelier effect using polycrystal plasticity
S. Kok1, A.J. Beaudoin1, D.A. Tortorelli1, M. Lebyodkin2, L. Kubin3 and C. Fressengeas41 Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, U.S.A.
2 Institute of Solid State Physics, Russian Academy of Sciences, 142432 Chemogolovka, Moscow District, Russia
3 Laboratoire d'Étude des Microstructures, CNRS-ONERA, 29 avenue de la Division Leclerc, BP. 72, 92322 Châtillon cedex, France
4 Laboratoire de Physique et Mécanique des Matériaux, Université de Metz, CNRS lie du Saulcy, 57045 Metz cedex 01, France
Abstract
A polycrystal plasticity model is used to describe the Portevin-Le Chatelier effect in a velocity
controlled tension test. An elastoviscoplastic constitutive model is developed. The resulting fully implicit
procedure is introduced into both Taylor (material point) and finite element models. Statistical analysis of the
stress drops collected through finite element simulation indicate power law distributions for continuous band
propagation, consistent with experimental observations. No "artificial" gradient plasticity formulation is required
since spatial gradients exist naturally due to grain incompatibilities.
© EDP Sciences 2003