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Modeling grain boundaries using a phase field technique

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Please use this identifier to cite or link to this item:http://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
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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