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Geometrical grounds of mean field solutions for normal grain growth

R. Darvishi Kamachali, A. Abbondandolo, K. F. Sieburg, I. Steinbach

Acta Materialia, 90, 252-258, (2015)

DOI: 10.1016/j.actamat.2015.02.025

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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⁄⟨r²⟩ can represent the geometrical characteristic of grains and has a one-to-one relationship with the mean field parameter γ. We reinvestigate the results of our recent phase-field study in the light of new analytical results and found a value γ≈3.5–3.2 for the stable regime.

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{"type":"article", "name":"r.darvishikamachali20155", "author":"R. Darvishi Kamachali and A. Abbondandolo and K. F. Sieburg and I. Steinbach", "title":"Geometrical grounds of mean field solutions for normal grain growth", "journal":"Acta Materialia", "volume":"90", "OPTnumber":"", "OPTmonth":"5", "year":"2015", "OPTpages":"252-258", "OPTnote":"", "OPTkey":"grain growth; grain size distribution; self-similar regime; mean field theory; phase-field simulation", "DOI":"10.1016/j.actamat.2015.02.025"}
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