Combined Stochastic Diffusion and Mean-Field Model for Grain Growth

Y. G. Zheng, H. W. Zhang () and Z. Chen
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Y. G. Zheng: Dalian University of Technology, State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics
H. W. Zhang: Dalian University of Technology, State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics
Z. Chen: Dalian University of Technology, State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics

A chapter in Computational Mechanics, 2007, pp 234-234 from Springer

Abstract: Abstract A combined stochastic diffusion and mean-field model has been proposed to describe the grain growth in a single-phase material. A corresponding Fokker-Planck continuity equation was constructed and the interplay/competition of stochastic and curvature-driven mechanisms has also been investigated. Finite-difference results to the equation have shown that the dominative mechanism is stochastic diffusion of boundaries when the grains are smaller than several tens of nanometres. As the grains grow the influence of the deterministic curvature-driven mechanism increases and finally controls the process. The predicted grain size distribution accords to a log-normal function, which is in good agreement with experimental observations.

Date: 2007
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DOI: 10.1007/978-3-540-75999-7_34

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