Modeling Grain Boundaries using a Phase Field Technique
Materials Science
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/9808319,
title = {Modeling Grain Boundaries using a Phase Field Technique},
author = {Ryo Kobayashi and James A. Warren and W. Craig Carter},
journal= {arXiv preprint arXiv:cond-mat/9808319},
year = {2007}
}
Comments
4 pages, 2 figures