Modeling Grain Boundaries using a Phase Field Technique

Details Modeling Grain Boundaries using a Phase Field Technique Modeling Grain Boundaries using a Phase Field Technique

1998-08-28

arxiv.org/abs/cond-mat/9808319v1

Physics

Condensed Matter

Materials Science

4 pages, 2 figures

Scientific paper

We propose a two dimensional frame-invariant phase field model of grain impingement and coarsening. One dimensional analytical solutions for a stable grain boundary in a bicrystal are obtained, and equilibrium energies are computed. We are able to calculate the rotation rate for a free grain between two grains of fixed orientation. 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.

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