Modeling grain boundaries using a phase field technique


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83568

Title:	Modeling grain boundaries using a phase field technique
Authors:	Kobayashi, R. Browse this author
	Warren, J. A Browse this author
	Carter, W. C Browse this author
Issue Date:	1-Sep-1998
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	422
Start Page:	1
End Page:	12
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 [11]. 64.70.Dv, 64.60.-i, 81.30.Fb, 05.70.Ln
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69172
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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