M. Kuroda et V. Tvergaard, Shear band development predicted by a non-normality theory of plasticity and comparison to crystal plasticity predictions, INT J SOL S, 38(50-51), 2001, pp. 8945-8960
A phenomenological plasticity model has recently been proposed, which combi
nes a smooth yield surface for an anisotropic solid with a vertex-type plas
tic flow rule. Both polycrystal plasticity calculations and experiments hav
e shown the type of non-normality of plastic flow, which is represented by
this material model. The plasticity model is here implemented in a finite e
lement programme and is used to analyze the plane strain tensile test, thus
representing the formation of a neck and the subsequent evolution of shear
bands in the neck region. To test the predictions of the phenomenological
plasticity model the tensile test problem is also analyzed by polycrystal p
lasticity, based on the Taylor model for either b.c.c. or f.c.c. crystal st
ructure. It is shown that the phenomenological plasticity model gives a goo
d approximation of the crystal plasticity predictions. (C) 2001 Elsevier Sc
ience Ltd. All rights reserved.