Computer Simulations and Statistical Theory of Normal Grain Growth in Two and Three Dimensions

Abstract:

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A modified Monte Carlo algorithm for single-phase normal grain growth is presented, which allows one to simulate the time development of the microstructure of very large grain ensembles in two and three dimensions. The emphasis of the present work lies on the investigation of the interrelation between the local geometric properties of the grain network and the grain size distribution in the quasi-stationary self-similar growth regime. It is found that the topological size correlations between neighbouring grains and the resulting average statistical growth law both in two and three dimensions deviate strongly from the assumptions underlying the classical Lifshitz- Sloyzov-Hillert theory. The average local geometric properties of the simulated grain structures are used in a statistical mean-field theory to calculate the grain size distribution functions analytically. By comparison of the theoretical results with the simulated grain size distributions it is shown how far normal grain growth in two and three dimensions can successfully be described by a mean-field theory and how stochastic fluctuations in the average growth law must be taken into account.

Info:

Periodical:

Materials Science Forum (Volumes 467-470)

Edited by:

B. Bacroix, J.H. Driver, R. Le Gall, Cl. Maurice, R. Penelle, H. Réglé and L. Tabourot

Pages:

1129-1136

DOI:

10.4028/www.scientific.net/MSF.467-470.1129

Citation:

D. Zöllner and P. Streitenberger, "Computer Simulations and Statistical Theory of Normal Grain Growth in Two and Three Dimensions", Materials Science Forum, Vols. 467-470, pp. 1129-1136, 2004

Online since:

October 2004

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$35.00

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