Quantitative phase-field modeling of nonisothermal solidification in dilute multicomponent alloys with arbitrary diffusivities

被引：65
作者：
Ohno, Munekazu [1 ]
机构：
[1] Hokkaido Univ, Fac Engn, Div Mat Sci & Engn, Kita Ku, Sapporo, Hokkaido 0608628, Japan
来源：
PHYSICAL REVIEW E | 2012年 / 86卷 / 05期
关键词：
DENDRITIC GROWTH; INTERFACE; SIMULATION; ASYMPTOTICS; NUCLEATION; SELECTION;
D O I：
10.1103/PhysRevE.86.051603
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：
A quantitative phase-field model is developed for simulating microstructural pattern formation in nonisothermal solidification in dilute multicomponent alloys with arbitrary thermal and solutal diffusivities. By performing the matched asymptotic analysis, it is shown that the present model with antitrapping current terms reproduces the free-boundary problem of interest in the thin-interface limit. Convergence of the simulation outcome with decreasing the interface thickness is demonstrated for nonisothermal free dendritic growth in binary alloys and isothermal and nonisothermal free dendritic growth in a ternary alloy.
引用
收藏
页数：15
相关论文
共 52 条
[1]   Second-order phase field asymptotics for unequal conductivities [J].
Almgren, RF .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1999, 59 (06) :2086-2107
[2]   Phase-field simulation of the columnar-to-equiaxed transition in alloy solidification [J].
Badillo, Arnoldo ;
Beckermann, Christoph .
ACTA MATERIALIA, 2006, 54 (08) :2015-2026
[3]   Phase-field simulation of solidification [J].
Boettinger, WJ ;
Warren, JA ;
Beckermann, C ;
Karma, A .
ANNUAL REVIEW OF MATERIALS RESEARCH, 2002, 32 :163-194
[4]   Kinetics of isothermal phase transformations above and below the peritectic temperature: Phase-field simulations [J].
Boussinot, G. ;
Brener, E. A. ;
Temkin, D. E. .
ACTA MATERIALIA, 2010, 58 (05) :1750-1760
[5]   STEFAN AND HELE-SHAW TYPE MODELS AS ASYMPTOTIC LIMITS OF THE PHASE-FIELD EQUATIONS [J].
CAGINALP, G .
PHYSICAL REVIEW A, 1989, 39 (11) :5887-5896
[6]   A phase field model for isothermal solidification of multicomponent alloys [J].
Cha, PR ;
Yeon, DH ;
Yoon, JK .
ACTA MATERIALIA, 2001, 49 (16) :3295-3307
[7]   Grand-potential formulation for multicomponent phase transformations combined with thin-interface asymptotics of the double-obstacle potential [J].
Choudhury, Abhik ;
Nestler, Britta .
PHYSICAL REVIEW E, 2012, 85 (02)
[8]  
Echebarria B, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.061604
[9]   Onset of sidebranching in directional solidification [J].
Echebarria, Blas ;
Karma, Alain ;
Gurevich, Sebastian .
PHYSICAL REVIEW E, 2010, 81 (02)
[10]   Multiphase-field approach for multicomponent alloys with extrapolation scheme for numerical application [J].
Eiken, J. ;
Boettger, B. ;
Steinbach, I. .
PHYSICAL REVIEW E, 2006, 73 (06)
123456