D. Raabe et al., A finite element method on the basis of texture components for fast predictions of anisotropic forming operations, STEEL RES, 72(10), 2001, pp. 421-426
This paper introduces a novel method of including and updating texture-base
d elastic-plastic anisotropy during large-strain metal forming operations.
The approach is particularly designed for industrial use since it can be as
sembled by integrating existing software solutions from crystallography and
variational mathematics. The approach is based on feeding spherical crysta
llographic texture components directly into a non-linear finite element mod
el. The method is used to perform fast simulations of industrial-scale meta
l forming operations of textured polycrystalline materials including textur
e update. Instead of yield surface concepts or large sets of discrete grain
orientations, a small set of discrete and mathematically compact Gaussian
texture components was used to map the orientation distribution function di
scretely onto the integration points of a viscoplastic crystal plasticity f
inite element model. This method drastically enhances the computing speed a
nd precision compared to previous crystal plasticity finite element approac
hes. The publication gives a brief overview of the different anisotropy con
cepts, provides an introduction to the new texture component crystal plasti
city finite element method, and presents examples.