Phase field models grain growth

M. K. Venkitachalam, L.-Q. Chen, A. G. Khachaturyan, G. L. Messing. A multiple-component order parameter phase field model for anisotropic grain growth. Mater Sci Eng A 238 94, 1997. 

Fig. 10.46. Phase field model for two-dimensional grain growth (adapted from Chen and Wang (1996)). Figure shows grain distribution at various times in the evolution of the grain structure with (a) t = 1000, (b) t = 3000, (c) t = 5000 and (d) t = 8000. Time is measured in units of how many integration steps have taken place.

Fig. 10.47. Temporal evolution of mean grain size in phase field model of grain growth (adapted from Chen and Yang (1994)). Plots are of logarithm of average grain area as a function of time, with the two curves corresponding to four (crosses) and thirty-six (circles) different order parameter fields.

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