Anisotropic multi-phase-field model: Interfaces and junctions

被引:54
作者
Nestler, B
Wheeler, AA
机构
[1] Univ Aachen, Foundry Inst, D-52072 Aachen, Germany
[2] Univ Southampton, Fac Math Studies, Southampton SO9 5NH, Hants, England
来源
PHYSICAL REVIEW E | 1998年 / 57卷 / 03期
关键词
D O I
10.1103/PhysRevE.57.2602
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
In this paper we bring together and extend two recent developments in phase-field models, namely, a phase-field model of a multiphase system [I. Steinbach et al., Physica D 94, 135 (1996)] and the extension of the Cahn-Hoffman xi-vector theory of anisotropic sharp interfaces to phase-field models [A. A. Wheeler and G. B. McFadden, Eur. J. Appl. Math. 7, 369 (1996); Proc. R. Soc. London, Ser. A 453, 1611 (1997)]. We develop the phase-field model of a multiphase system proposed by Steinbach et al. to include both surface energy and interfacial kinetic anisotropy. We show that this model may be compactly expressed in terms of generalized Cahn-Hoffman xi vectors. This generalized Cahn-Hoffman xi-vector formalism is subsequently developed to include the notion of a stress tensor, which is used to succinctly derive the leading-order conditions at both moving interfaces and stationary multijunctions in the sharp interface limit.
引用
收藏
页码:2602 / 2609
页数:8
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