Modeling of grain growth characteristics in three-dimensional domains and two-dimensional cross sections |
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Authors: | Qiang Yu Yujie Wu Sven K Esche |
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Affiliation: | (1) New Dimension Technologies, 06088 East Windsor, CT;(2) the Department of Mechanical Engineering, Stevens Institute of Technology, Castle Point on Hudson, 07030 Hoboken, NJ |
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Abstract: | 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.
This article is based on a presentation made in the symposium entitled “Three Dimensional Materials Science” during the 2003
MS&T ′03: Materials Science & Technology Conference 2003 in Chicago, Illinois, on November 11 & 12, 2003, under the auspices
of the ASM/MSCTS: Materials Science Critical Technology Sector Committee and the TMS/SMD: Structural Materials Division Committee. |
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