Abstract

In this paper, a two-dimensional Potts model that can simulate anisotropic grain growth by Ostwald ripening in liquid-phase-sintered ceramics will be presented. The model defines a Wulff shape for the grains and allows each individual grain to grow in its local environment which is controlled by the solid/liquid interfacial energy, the spatial distribution of neighboring grains, area fraction of grains, wetting by and distribution of the liquid matrix, and the concentration gradients in the liquid. The results of this simulation technique will be presented with emphasis on the kinetics and grain shape evolution and will be compared to those of isotropic grain growth. Finally, the limitations of the Potts model in such microstructural evolution processes will be discussed.

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