Modeling of grain growth characteristics in three-dimensional domains and two-dimensional cross sections
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In the modeling of grain growth of isotropic, single-phase materials using three-dimensional (3-D) Monte Carlo (MC) Potts algorithm, the theoretically expected grain growth exponent was obtained only in the late simulation stages. This article addresses the grain growth simulated by a modified MC Potts model using simple cubic lattices. The grain growth kinetics was analyzed both for the 3-D domain and for two-dimensional (2-D) cross sections. Regression analyses of the grain size data averaged over time, multiple simulations runs, and three cross sections showed that both the Louat function and the log-normal function can be fitted to the data. It was clearly observed that the lognormal function allows a better fit to the 3-D simulation data, while the Louat function is more suited to the cross-sectional data. Furthermore, parabolic grain growth kinetics was obtained both for the 3-D domain and for the cross sections, but the grain growth rates calculated for these cross sections were smaller than that obtained for the 3-D domain.
KeywordsMaterial Transaction Monte Carlo Grain Size Distribution Growth Kinetic Monte Carlo Step
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- 3.E.A. Holm and C.C. Battaile: JOM, 2001, vol. 53 (9), pp. 20–23.Google Scholar
- 5.N. River: Phil. Mag., 1983, vol. B47 (5), pp. L45-L49.Google Scholar
- 7.H.V. Atkinson: Acta Metall., 1986, vol. 36 (3), pp. 469–91.Google Scholar
- 9.P. Anderson, G.S. Grest, and D.J. Srolovitz: Phil. Mag., 1989, vol. B59 (3), pp. 293–329.Google Scholar
- 11.S. Sista and T. DebRoy: Metall. Mater. Trans. B, 2001, vol. 32, pp. 1195–1201.Google Scholar
- 12.B. Radhakrishnan and T. Zacharia: Metall. Mater. Trans. A, 1995, vol. 26, pp. 167–80.Google Scholar