J. Phys. IV France
Volume 105, March 2003
Page(s) 191 - 197

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. Fressengeas4

1  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

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