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Anisotropy of interfaces in an ordered alloy: a multiple-order-parameter model

Anisotropy of interfaces in an ordered alloy: a multiple-order-parameter model
Anisotropy of interfaces in an ordered alloy: a multiple-order-parameter model
A multiple-order-parameter theory of ordering on a binary face-centred-cubic (FCC) crystal lattice is developed, and adapted to provide a continuum formulation that incorporates the underlying symmetries of the FCC crystal in both the bulk and gradient-energy terms of the free energy. The theory is used to compute the orientation dependence of the structure and energy of interphase and antiphase boundaries. The structure of these interfaces compares favourably with previous lattice calculations by Kikuchi & Cahn (1962, 1979). Anisotropy is a natural consequence of the lattice calculation and the multiple-order-parameter continuum formulation presented here. This is in contrast to the ad hoc fashion in which anisotropy is often introduced into a single-order-parameter continuum theory.
antiphase boundaries interphase boundaries phase field multiple order parameter anisotropy surface energy
1364-503X
1787-1833
Braun, R.J.
a00ab669-1856-4b10-b2c8-d41b9d632f78
Cahn, J.W.
4fe7231c-d9a1-4656-858c-2de87853b7c4
McFadden, G.B.
56b0d29e-1cfb-4775-96d1-d32d50ea08d2
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Braun, R.J.
a00ab669-1856-4b10-b2c8-d41b9d632f78
Cahn, J.W.
4fe7231c-d9a1-4656-858c-2de87853b7c4
McFadden, G.B.
56b0d29e-1cfb-4775-96d1-d32d50ea08d2
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73

Braun, R.J., Cahn, J.W., McFadden, G.B. and Wheeler, A.A. (1997) Anisotropy of interfaces in an ordered alloy: a multiple-order-parameter model. Philosophical Transactions of The Royal Society A, 355 (1730), 1787-1833.

Record type: Article

Abstract

A multiple-order-parameter theory of ordering on a binary face-centred-cubic (FCC) crystal lattice is developed, and adapted to provide a continuum formulation that incorporates the underlying symmetries of the FCC crystal in both the bulk and gradient-energy terms of the free energy. The theory is used to compute the orientation dependence of the structure and energy of interphase and antiphase boundaries. The structure of these interfaces compares favourably with previous lattice calculations by Kikuchi & Cahn (1962, 1979). Anisotropy is a natural consequence of the lattice calculation and the multiple-order-parameter continuum formulation presented here. This is in contrast to the ad hoc fashion in which anisotropy is often introduced into a single-order-parameter continuum theory.

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More information

Published date: 1997
Keywords: antiphase boundaries interphase boundaries phase field multiple order parameter anisotropy surface energy

Identifiers

Local EPrints ID: 391
URI: https://eprints.soton.ac.uk/id/eprint/391
ISSN: 1364-503X
PURE UUID: 9d10d0ae-89cf-42e8-b679-854b965363f3

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Date deposited: 12 Mar 2004
Last modified: 15 Jul 2019 19:39

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