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
收藏
页数:4
相关论文
共 50 条
  • [41] Melting and solidification of pure metals by a phase-field model
    Caputo, Michele
    Ciarletta, Michele
    Fabrizio, Mauro
    Tibullo, Vincenzo
    RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2017, 28 (03) : 463 - 478
  • [42] Phase-field model for solidification of a monotectic alloy with convection
    Nestler, B
    Wheeler, AA
    Ratke, L
    Stöcker, C
    PHYSICA D, 2000, 141 (1-2): : 133 - 154
  • [43] Numerical solution to phase-field model of solidification: A review
    Zhang, Ang
    Guo, Zhipeng
    Jiang, Bin
    Xiong, Shoumei
    Pan, Fusheng
    COMPUTATIONAL MATERIALS SCIENCE, 2023, 228
  • [44] Asymptotic solutions of a phase-field model or alloy solidification
    Clemons, CB
    Hariharan, SI
    Young, GW
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2002, 62 (06) : 1952 - 1979
  • [45] PHASE-FIELD MODEL OF SOLUTE TRAPPING DURING SOLIDIFICATION
    WHEELER, AA
    BOETTINGER, WJ
    MCFADDEN, GB
    PHYSICAL REVIEW E, 1993, 47 (03) : 1893 - 1909
  • [46] A phase-field model for the solidification of multicomponent and multiphase alloys
    Qin, RS
    Wallach, ER
    Thomson, RC
    JOURNAL OF CRYSTAL GROWTH, 2005, 279 (1-2) : 163 - 169
  • [47] Some optimal control problems for a two-phase field model of solidification
    Boldrini, Jose Luiz
    Calsavara Caretta, Bianca Morelli
    Fernandez-Cara, Enrique
    REVISTA MATEMATICA COMPLUTENSE, 2010, 23 (01): : 49 - 75
  • [48] Some optimal control problems for a two-phase field model of solidification
    José Luiz Boldrini
    Bianca Morelli Calsavara Caretta
    Enrique Fernández-Cara
    Revista Matemática Complutense, 2010, 23 : 49 - 75
  • [49] Quantitative phase-field modeling of solidification in binary alloys with nonlinear phase coexistence curves
    Tong, Chaohui
    Greenwood, Michael
    Provatas, Nikolas
    PHYSICAL REVIEW B, 2008, 77 (06)
  • [50] PHASE-FIELD SIMULATION OF TWO-PHASE GRAIN GROWTH WITH HARD PARTICLES
    Gao Yingjun
    Zhang Hailin
    Jin Xing
    Huang Chuanggao
    Luo Zhirong
    ACTA METALLURGICA SINICA, 2009, 45 (10) : 1190 - 1198