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Influence of the Homogenization on the Transient Behaviour of Size Distributed Polycrystals
Author(s) -
Rieger Florian,
Böhlke Thomas
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310076
Subject(s) - homogenization (climate) , grain size , representative elementary volume , materials science , stiffness , hardening (computing) , mechanics , composite material , physics , microstructure , biodiversity , ecology , layer (electronics) , biology
Abstract The deformation in polycrystals is often heterogenous, e.g. due to grain size dependent hardening. In a semi‐analytical representative volume element (RVE), a log‐normal distributed grain size is assumed together with a grain size dependent local plastic behavior. The numerical results are well approximated by a simple analytical expression. The effect of the homogenization comparison stiffness on the transient behaviour is explained using a simplified localization equation. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)