You are not logged in Total: 7journals, 20,272articles Online
AccountAccount
Login / Register
Forgot Login?
 
Main menuMain menu
What's new
Journal list
Visiting ranking
Phrase ranking
Polls
About us
 
SearchSearch
 
Journal Site
Advanced Search
 

Home  >  Journal list  >  MATERIALS TRANSACTIONS  >  Vol.46  No.6 (2005)  >  pp.1214-1220

MATERIALS TRANSACTIONS
<<Previous article Vol.46  No.6 (2005)   pp.1214 - 1220 Next article>>

Computer Simulation of Grain Growth in Three Dimensions by the Phase Field Model and the Monte Carlo Method

Yoshihiro Suwa1) and Yoshiyuki Saito2)
1) Research Center for Advanced Science and Technology, University of Tokyo
2) Department of Materials Science and Engineering, Waseda University


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.


Keyword:
grain growth, phase field method, Monte Carlo method, three dimension, grain size distribution, face number distribution

Received: December 21, 2004
Accepted: February 24, 2005 , Published online: October 18, 2005
Copyright (c) 2005 The Japan Institute of Metals

PDFPDF file (J-STAGE)J-STAGEJ-STAGE


SPARC Japan

Terms of Use | Privacy Policy