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A New Continuum Scalar Model of Facets

Published online by Cambridge University Press:  21 March 2011

Tinghui Xin  and
Harris Wong
Tinghui Xin
Affiliation:
Mechanical Engineering Department, Louisiana State UniversityBaton Rouge, LA 70803-6413, USA
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Abstract

Facets or planar surfaces appear often on crystalline solids, and need to be accurately modeled in studying surface evolution. Here we propose a model in which the radius of curvature of the equilibrium crystal surface is prescribed as a function of crystallographic orientation. In this approach, a facet is represented by the Dirac delta function with the weight of the delta function equal to the width of the facet plane. This model allows sharp corners on solid surfaces, but avoids the non-uniqueness of equilibrium surface profiles that plagues previous facet models. We demonstrate this approach by solving the equilibrium shape and surface energy of triangular crystals.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 652: Symposium Y – Influences of Interface & Dislocation Behavior on Microstructure Evolution , 2000 , Y3.3
Copyright
Copyright © Materials Research Society 2001

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References

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