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A Model for the Texture Evolution in Polycrystalline Materials
Author(s) -
Heinz Sebastian
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110182
Subject(s) - isotropy , texture (cosmology) , crystallite , anisotropy , context (archaeology) , materials science , orientation (vector space) , distribution function , point (geometry) , statistical physics , set (abstract data type) , crystal (programming language) , function (biology) , geometry , mathematics , crystallography , thermodynamics , physics , computer science , artificial intelligence , geology , chemistry , optics , metallurgy , image (mathematics) , evolutionary biology , biology , paleontology , programming language
We study a polycrystalline material that undergoes a rigid‐plastic rate‐independent evolution. Of our particular interest is the creation of texture and the resulting qualitative change in the macroscopic material response: from isotropic to anisotropic. Texture is represented by a crystal orientation distribution function, which associates every spatial point with a probability measure on the set of rotations. We discuss an energetic formulation for the texture evolution in the context of generalized standard materials. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)