ISING-MODEL FOR PHASE-SEPARATION IN ALLOYS WITH ANISOTROPIC ELASTIC INTERACTION .1. THEORY

被引:56
作者
FRATZL, P [1 ]
PENROSE, O [1 ]
机构
[1] HERIOT WATT UNIV, DEPT MATH, EDINBURGH EH14 4AS, MIDLOTHIAN, SCOTLAND
来源
ACTA METALLURGICA ET MATERIALIA | 1995年 / 43卷 / 08期
关键词
D O I
10.1016/0956-7151(95)00005-G
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We propose a model to study, on an atomistic scale, the effects of elastic misfit strains on the growth and coarsening of domains in phase-separating alloys. The model considered is a two-dimensional square crystal lattice with periodic boundary conditions and with an A or B atom near each site. To model the elastic interaction, nearest and next-nearest neighbours are connected by springs with longitudinal and transverse stiffnesses. In addition, there is a chemical interaction between nearest neighbours, favouring like against unlike pairs. A mean field analysis predicts phase separation into coherent phases, below a temperature which (for a typical set of elastic parameters) increases with the strength of the elastic forces. This critical temperature is less than that for separation into incoherent phases. The analysis also predicts how the anisotropy determines the shapes of domains at early times. A Monte Carlo procedure for implementing Kawasaki dynamics to represent diffusion in this model is described.
引用
收藏
页码:2921 / 2930
页数:10
相关论文
共 37 条
[31]   PATTERN-FORMATION IN PHASE-SEPARATING ALLOYS WITH CUBIC SYMMETRY [J].
NISHIMORI, H ;
ONUKI, A .
PHYSICAL REVIEW B, 1990, 42 (01) :980-983
[32]   ANOMALOUSLY SLOW DOMAIN GROWTH DUE TO A MODULUS INHOMOGENEITY IN PHASE-SEPARATING ALLOYS [J].
ONUKI, A ;
NISHIMORI, H .
PHYSICAL REVIEW B, 1991, 43 (16) :13649-13652
[33]   A MEAN-FIELD EQUATION OF MOTION FOR THE DYNAMIC ISING-MODEL [J].
PENROSE, O .
JOURNAL OF STATISTICAL PHYSICS, 1991, 63 (5-6) :975-986
[34]   SHAPE AND GROWTH ANOMALIES OF GAMMA' PRECIPITATES IN NI-AL-MO ALLOYS INDUCED BY ELASTIC INTERACTION [J].
SEQUEIRA, AD ;
CALDERON, HA ;
KOSTORZ, G .
SCRIPTA METALLURGICA ET MATERIALIA, 1994, 30 (01) :7-12
[35]   ON THE MORPHOLOGICAL DEVELOPMENT OF 2ND-PHASE PARTICLES IN ELASTICALLY-STRESSED SOLIDS [J].
VOORHEES, PW ;
MCFADDEN, GB ;
JOHNSON, WC .
ACTA METALLURGICA ET MATERIALIA, 1992, 40 (11) :2979-2992
[36]  
WAGNER R, 1991, PHASE TRANSFORMATION, V5, pCH4
[37]   KINETICS OF STRAIN-INDUCED MORPHOLOGICAL TRANSFORMATION IN CUBIC ALLOYS WITH A MISCIBILITY GAP [J].
WANG, Y ;
CHEN, LQ ;
KHACHATURYAN, AG .
ACTA METALLURGICA ET MATERIALIA, 1993, 41 (01) :279-296