A short note on a variational approach to normal grain growth

Previous work on a variational principle for two-dimensional normal grain growth [1,2] assumed that grain boundaries meet at 120 ° at a triple point. In this paper we extend this variational method toallow the orientations of the grain boundaries at a triple point to vary independently of one anothe...

Full description

Saved in:
Bibliographic Details
Published in:Scripta materialia 1996-07, Vol.35 (1), p.9-12
Main Authors: Gill, S.P.A., Cocks, A.C.F.
Format: Article
Language:English
Subjects:
Cross-disciplinary physics: materials science
rheology
Exact sciences and technology
Growth from solid phases (including multiphase diffusion and recrystallization)
Materials science
Methods of crystal growth
physics of crystal growth
Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Previous work on a variational principle for two-dimensional normal grain growth [1,2] assumed that grain boundaries meet at 120 ° at a triple point. In this paper we extend this variational method toallow the orientations of the grain boundaries at a triple point to vary independently of one another. Consequently an equilibriation force arises at each triple point which is the resultant of the tensions in the grain boundaries Numerical results of a computer simulation are presented and compared with those from the previous model. The average angular deviation from 120 ° at the triple points is found to be less than one degree and in general the differences between the two models is found to be small. Significantly, the computation time required if found to increase by a factor of ten.
ISSN:1359-6462
1872-8456
DOI:10.1016/1359-6462(96)00096-6