Journal
ACTA MATERIALIA
Volume 90, Issue -, Pages 252-258Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.actamat.2015.02.025
Keywords
Grain growth; Grain size distribution; Self-similar regime; Mean field theory; Phase field simulation
Funding
- Mercator Research Center (MERCUR) [Pr-2012-0010]
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The classical mean field approach for normal grain growth in polycrystalline materials is revisited. We re-drive and study possible self-similar solutions and show that the grain size distribution can be determined only by the geometry of neighbouring grains for any given configuration. In three dimensions, it is shown that a single index < R >(2)/< R-2 > can represent the geometrical characteristic of grains and has a one-to-one relationship with the mean field parameter gamma. We reinvestigate the results of our recent phase-field study [Darvishi Kamachali R, Steinbach I. Acta Mater 2012;60:2719] in the light of new analytical results and found a value gamma approximate to 3.5-3.2 for the stable regime. (C) 2015 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
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