Computer simulation of grain growth in three dimensions by the phase field model and the Monte Carlo method

Yoshihiro Suwa, Yoshiyuki Saito

研究成果: Article査読

8 被引用数 (Scopus)

抄録

Temporal evolution and morphology of grain structure in three dimensions were simulated by the phase field and the Monte Carlo simulations. In order to prevent impingement of grain of like orientation, a new algorithm was adopted for both simulations. Excluding the initial stage, the average area is found to be proportional to time in the phase field and the Monte Carlo simulations. The scaled grain size and the face number distributions become time-independent in both simulations. The scaled grain size and the face number distributions obtained by the phase field simulation are in good agreement with those by the Monte Carlo method. The nearest neighbor face correlation similar to the Aboav-Weaire relation is observed in simulated grain structures by both methods. The nearest neighbor face correlation for the phase field model is quite similar to that for the Monte Carlo method. The Allen-Cahn type equation for the phase field simulation can be derived from the master equation of the Monte Carlo Model.

本文言語English
ページ(範囲)1214-1220
ページ数7
ジャーナルMaterials Transactions
46
6
DOI
出版ステータスPublished - 2005 6

ASJC Scopus subject areas

  • Materials Science(all)
  • Metals and Alloys

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