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Equilibrium Shapes for Grain Boundaries and Surfaces with Anisotropic Surface Tension Functions

Published online by Cambridge University Press:  21 February 2011

J.E. Taylor
J.E. Taylor*
Affiliation:
Department of Mathematics, Rutgers University, New Brunswick, N.J. 08903
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Abstract

The geometric configuration of grain boundaries and surfaces seems to play a significant role in phase transformations and surface phenomena. Determining the equilibrium configurations of such boundaries for a given surface tension function γ is additionally an interesting mathematical problem; it reduces in the case of isotropic surface tension to the minimal surface problem. A framework is given here for determining such configurations in the other extreme case, where the equilibrium shape of a crystal of fixed volume (the Wulff shape) is a polyhedron. Some results obtained within this framework are outlined.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 21: Symposium GREECE – Phase Transformations in Solids , 1983 , 605
Copyright
Copyright © Materials Research Society 1984

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References

REFRENCES

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