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Free keywords:
anisotropy, crystal, plasticity, simulation, texture, finite element method
Abstract:
This Max-Planck project report presents a time efficient and at the same time
physically based approach for including and simulating elastic-plastic
crystalline anisotropy during complex forming operations of metal
polycrystals. The novel procedure is based on the direct integration of
spherical crystallographic texture components into a commercial non-linear
finite element program package. The method has been developed to perform
very fast simulations of large strain industry-scale metal forming operations of
textured polycrystalline materials including complete texture update during
forming. Instead of using the yield surface concept or large sets of discrete
crystalline orientations the method proceeds from a small though physically
based set of discrete and mathematically compact Bessel-type Gaussian
texture components which are used to map the orientation distribution
function directly and in a discrete fashion onto the integration points of a
viscoplastic crystal plasticity finite element model. The method merges
approaches from crystallography, crystal plasticity, and variational
mathematics. It increases the computational efficiency of microstructurebased
anisotropy calculations dramatically and thus represents a feasible
approach to incorporate and predict anisotropic behavior at the industrial
scale. Applications of the new method are particularly in the field of predicting
shape-sensitive anisotropic large strain - large scale forming operations such
as encountered in the automotive and aerospace industry. This progress
report gives an overview of existing anisotropy concepts which are commonly
used in conjunction with finite element methods, provides an introduction to
the new crystallographic texture component crystal plasticity finite element
method, and gives examples of its application.
