Towards a quantitative phase-field model of two-phase solidification

被引：66

作者：

Folch, R ^{[1
]}

Plapp, M ^{[1
]}

机构：

[1] Ecole Polytech, Phys Mat Condensee Lab, CNRS, F-91128 Palaiseau, France

来源：

PHYSICAL REVIEW E | 2003年 / 68卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.68.010602

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：

We construct a diffuse-interface model of two-phase solidification that quantitatively reproduces the classic free boundary problem on solid-liquid interfaces in the thin-interface limit. Convergence tests and comparisons with boundary integral simulations of eutectic growth show good accuracy for steady-state lamellae, but the results for limit cycles depend on the interface thickness through the trijunction behavior. This raises the fundamental issue of diffuse multiple-junction dynamics.

引用

页数：4

共 28 条

[1] Second-order phase field asymptotics for unequal conductivities [J].

Almgren, RF .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1999, 59 (06) :2086-2107

[2] Cooperative self-organization of microorganisms [J].

Ben-Jacob, E ;

Cohen, I ;

Levine, H .

ADVANCES IN PHYSICS, 2000, 49 (04) :395-554

[3] Tumbling of vesicles under shear flow within an advected-field approach [J].

Biben, T ;

Misbah, C .

PHYSICAL REVIEW E, 2003, 67 (03) :5

[4] An advected-field method for deformable entities under flow [J].

Biben, T ;

Misbah, C .

EUROPEAN PHYSICAL JOURNAL B, 2002, 29 (02) :311-316

[5] Phase-field simulation of solidification [J].

Boettinger, WJ ;

Warren, JA ;

Beckermann, C ;

Karma, A .

ANNUAL REVIEW OF MATERIALS RESEARCH, 2002, 32 :163-194

[6] Solidification microstructures: Recent developments, future directions [J].

Boettinger, WJ ;

Coriell, SR ;

Greer, AL ;

Karma, A ;

Kurz, W ;

Rappaz, M ;

Trivedi, R .

ACTA MATERIALIA, 2000, 48 (01) :43-70

[7] Linking phase-field and atomistic simulations to model dendritic solidification in highly undercooled melts [J].

Bragard, J ;

Karma, A ;

Lee, YH ;

Plapp, M .

INTERFACE SCIENCE, 2002, 10 (2-3) :121-136

[8] PHASE-FIELD METHODS FOR INTERFACIAL BOUNDARIES [J].

CAGINALP, G ;

FIFE, P .

PHYSICAL REVIEW B, 1986, 33 (11) :7792-7794

[9] On static and dynamical young's condition at a trijunction [J].

Caroli, C ;

Misbah, C .

JOURNAL DE PHYSIQUE I, 1997, 7 (10) :1259-1265

[10] Phase-field models for microstructure evolution [J].

Chen, LQ .

ANNUAL REVIEW OF MATERIALS RESEARCH, 2002, 32 :113-140

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