Phase-field model of solidification of a binary alloy

被引：82

作者：

Bi, ZQ ^{[1
]}

Sekerka, RF ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Dept Phys, Pittsburgh, PA 15213 USA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1998年 / 261卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0378-4371(98)00364-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a rather general thermodynamically consistent phase-field model for solidification of a binary alloy, based on an entropy functional that contains squared gradient terms in the energy density, the composition and the phase-field variable. By assuming positive local entropy production, we derive generalized phase-field equations for an alloy, including cross terms that connect thermal and compositional driving forces to energy and solute fluxes. We explore this model in detail for a regular solution and show that four existing models can be recovered as special cases. We also use it to develop a new phase-field model for an alloy in which an explicit phase-field variable is absent. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：95 / 106

页数：12