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Modeling Grain Boundaries Using a Phase-Field Technique



James A. Warren, R Kobayashi, W Carter


We propose a two dimensional phase field model or grain boundary dynamics. One dimensional analytical solutions for a stable grain boundary in a bicrystal are obtained, and equilibrium energies are computed. By comparison with microscopic models of dislocation walls, insights into the physical accuracy of this model can be obtained. Indeed, for a particular choice of functional dependencies in the model, the grain boundary energy takes the same analytic form as the microscopic (dislocation) model of Read and Shockley [1].
Journal of Crystal Growth
No. 1


dislocation, grain boundary, phase field model


Warren, J. , Kobayashi, R. and Carter, W. (2000), Modeling Grain Boundaries Using a Phase-Field Technique, Journal of Crystal Growth (Accessed March 3, 2024)
Created January 1, 2000, Updated February 17, 2017