Modeling grain boundaries using a phase field technique

Kobayashi, R.; Warren, J. A; Carter, W. C

Hokkaido University Preprint Series in Mathematics, 1998, 422, 1-12

Permalink : https://doi.org/10.14943/83568

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DOI	https://doi.org/10.14943/83568
URI	https://hdl.handle.net/2115/69172
タイトル	Modeling grain boundaries using a phase field technique
著者	Kobayashi, R. ; Warren, J. A ; Carter, W. C
著者名 Kobayashi, R.
著者名 Warren, J. A
著者名 Carter, W. C
言語	英語
発行日	1998-09-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	422
ページ	1-12
抄録	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 [11]. 64.70.Dv, 64.60.-i, 81.30.Fb, 05.70.Ln
資源タイプ	紀要論文
出版タイプ	Version of Record