A self-consistent model developed to describe the elastic-viscoplastic beha
vior of heterogeneous materials is applied to low carbon steels to simulate
tensile tests at various strain rates in the low temperature range. The ch
oice of crystalline laws implemented in the model is discussed through the
viscoplastic flow rule and several strain-hardening laws. Comparisons betwe
en three work-hardening models show that the account of dislocation annihil
ation improves the results on simulations at large strains. The evolution o
f the Lankford coefficients and texture development are also successfully s
imulated. Some microstructural aspects of deformation such as the stored en
ergy and the evolution of the flow rates are discussed. By including the di
slocation density on each slip system as internal variable, intragranular h
eterogeneities are underscored. (C) 2001 Elsevier Science Ltd. All rights r
eserved.