The University of Southampton
University of Southampton Institutional Repository

Phase-field models for anisotropic interfaces

Phase-field models for anisotropic interfaces
Phase-field models for anisotropic interfaces
The inclusion of anisotropic surface free energy and anisotropic linear interface kinetics in phase-field models is studied for the solidification of a pure material. The formulation is described for a two-dimensional system with a smooth crystal-melt interface and for a surface free energy that varies smoothly with orientation, in which case a quite general dependence of the surface free energy and kinetic coefficient on orientation can be treated; it is assumed that the anisotropy is mild enough that missing orientations do not occur. The method of matched asymptotic expansions is used to recover the appropriate anisotropic form of the Gibbs-Thomson equation in the sharp-interface limit in which the width of the diffuse interface is thin compared to its local radius of curvature. It is found that the surface free energy and the thickness of the diffuse interface have the same anisotropy, whereas the kinetic coefficient has an anisotropy characterized by the product of the interface thickness with the intrinsic mobility of the phase field.
1539-3755
2016-2024
McFadden, G.B.
56b0d29e-1cfb-4775-96d1-d32d50ea08d2
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Braun, R.J.
a00ab669-1856-4b10-b2c8-d41b9d632f78
Coriell, S.R.
8499c8d5-e69d-43c6-9224-a3b550f98a38
Sekerka, R.F.
5d9a3744-0881-42fe-8e19-a4bba777f929
McFadden, G.B.
56b0d29e-1cfb-4775-96d1-d32d50ea08d2
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Braun, R.J.
a00ab669-1856-4b10-b2c8-d41b9d632f78
Coriell, S.R.
8499c8d5-e69d-43c6-9224-a3b550f98a38
Sekerka, R.F.
5d9a3744-0881-42fe-8e19-a4bba777f929

McFadden, G.B., Wheeler, A.A., Braun, R.J., Coriell, S.R. and Sekerka, R.F. (1993) Phase-field models for anisotropic interfaces. Physical Review E, 48 (3), 2016-2024. (doi:10.1103/PhysRevE.48.2016).

Record type: Article

Abstract

The inclusion of anisotropic surface free energy and anisotropic linear interface kinetics in phase-field models is studied for the solidification of a pure material. The formulation is described for a two-dimensional system with a smooth crystal-melt interface and for a surface free energy that varies smoothly with orientation, in which case a quite general dependence of the surface free energy and kinetic coefficient on orientation can be treated; it is assumed that the anisotropy is mild enough that missing orientations do not occur. The method of matched asymptotic expansions is used to recover the appropriate anisotropic form of the Gibbs-Thomson equation in the sharp-interface limit in which the width of the diffuse interface is thin compared to its local radius of curvature. It is found that the surface free energy and the thickness of the diffuse interface have the same anisotropy, whereas the kinetic coefficient has an anisotropy characterized by the product of the interface thickness with the intrinsic mobility of the phase field.

This record has no associated files available for download.

More information

Published date: 1993

Identifiers

Local EPrints ID: 805
URI: http://eprints.soton.ac.uk/id/eprint/805
ISSN: 1539-3755
PURE UUID: 1ce02739-9372-4203-a1d1-a1bba43ab1e4

Catalogue record

Date deposited: 25 Mar 2004
Last modified: 15 Mar 2024 04:42

Export record

Altmetrics

Contributors

Author: G.B. McFadden
Author: A.A. Wheeler
Author: R.J. Braun
Author: S.R. Coriell
Author: R.F. Sekerka

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×