Hp. Ganser et al., PLASTICITY AND DUCTILE FRACTURE OF IF STEELS - EXPERIMENTS AND MICROMECHANICAL MODELING, International journal of plasticity, 14(8), 1998, pp. 789-803
If one aims at the simulation of plasticity and failure of multiphase
materials, the choice of an appropriate material law is of major impor
tance. Plasticity models for porous metals contain, in addition to the
yield surface and the flow potential, also functions describing the v
oid nucleation, dependent on some macroscopically observable quantitie
s, and the growth of these voids. In this paper, a micromechanically b
ased method to develop a void nucleation function for porous plasticit
y models is proposed which is valid for all possible microstructures a
s long as the amount of second phase particles is low (i.e, the partic
les do not interact with respect to the stress and strain fields), and
as long as the particles are large enough (above 0.1 mu m) justifying
a continuum mechanical approach. The method described consists of two
stages: In the first stage, the microstructure is investigated via a
finite element model. The FE model implicitly contains the effects of
the shape of the precipitates, of the material parameters of both the
matrix and the precipitates, of the void nucleation hypothesis (by the
assumption of ''nucleation limits'' for characteristic damage-related
quantities), and of the applied stress state. In the second stage, du
ring postprocessing, the volume fraction of precipitates as well as th
e influences of the particle orientation distribution, size distributi
on, and size dependence of the damage-related quantities are taken int
o account. The model is applied to the microstructure of IF (Interstit
ially Free) steel, a material with a ductile matrix and rigid second p
hase particles of cubical shape. This microstructure is particularly s
uited for investigating shape and size effects. The model shows that e
ither the size effect or the shape effect dominate the void nucleation
behavior: in the case of particles of roughly the same size, the size
distribution will hardly alter the nucleation strain distribution obt
ained by taking into account only the shape and orientation effects. F
or particles of very different sizes, the size effect will completely
override the rather ''sharp'' original distribution regarding particle
shape and orientation. (C) 1998 Elsevier Science Ltd. All rights rese
rved.