Metallurgical and Materials Transactions A

, Volume 36, Issue 7, pp 1661–1666 | Cite as

Modeling of grain growth characteristics in three-dimensional domains and two-dimensional cross sections

  • Qiang Yu
  • Yujie Wu
  • Sven K. Esche


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.


Material Transaction Monte Carlo Grain Size Distribution Growth Kinetic Monte Carlo Step 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© ASM International & TMS-The Minerals, Metals and Materials Society 2005

Authors and Affiliations

  • Qiang Yu
    • 1
  • Yujie Wu
    • 2
  • Sven K. Esche
    • 2
  1. 1.New Dimension TechnologiesEast Windsor
  2. 2.the Department of Mechanical EngineeringStevens Institute of Technology, Castle Point on HudsonHoboken

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