Correspondence between a phase-field theory and a sharp-interface theory for crystal growth

被引：13
|
作者：
Fried, E
机构：
[1] Dept. of Theor. and Appl. Mechanics, Univ. Illinois at Urbana-Champaign, Urbana
来源：
CONTINUUM MECHANICS AND THERMODYNAMICS | 1997年 / 9卷 / 01期
关键词：
D O I：
10.1007/s001610050054
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
A matched asymptotic analysis is used to show that, under certain constitutive hypotheses and a particular scaling, a recently developed phase-field theory corresponds to a sharp-interface theory for crystal growth that accounts for orientation dependence in the crystalline surface energy density as well as orientation and surface normal velocity dependence in the crystalline surface mobility.
引用
收藏
页码：33 / 60
页数：28
相关论文
共 50 条
  • [31] Renormalization-group theory for the phase-field crystal equation
    Athreya, Badrinarayan P.
    Goldenfeld, Nigel
    Dantzig, Jonathan A.
    PHYSICAL REVIEW E, 2006, 74 (01):
  • [32] Sharp-interface model of electrodeposition and ramified growth
    Nielsen, Christoffer P.
    Bruus, Henrik
    PHYSICAL REVIEW E, 2015, 92 (04):
  • [33] A RIGOROUS APPROACH TO THE SHARP INTERFACE LIMIT FOR PHASE-FIELD MODELS OF TUMOR GROWTH\ast
    Riva, Filippo
    Rocca, Elisabetta
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2025, 57 (01) : 65 - 94
  • [34] Athermal resistance to interface motion in the phase-field theory of microstructure evolution
    Levitas, Valery I.
    Lee, Dong-Wook
    PHYSICAL REVIEW LETTERS, 2007, 99 (24)
  • [35] Effect of foreign particles on the dendritic growth in phase-field theory
    Li Jun-Jie
    Wang Jin-Cheng
    Xu Quan
    Yang Gen-Cang
    ACTA PHYSICA SINICA, 2007, 56 (03) : 1514 - 1519
  • [36] Comment on "Renormalization-group theory for the phase-field crystal equation"
    Shiwa, Y.
    PHYSICAL REVIEW E, 2009, 79 (01)
  • [37] Phase-field crystal modeling and classical density functional theory of freezing
    Elder, K. R.
    Provatas, Nikolas
    Berry, Joel
    Stefanovic, Peter
    Grant, Martin
    PHYSICAL REVIEW B, 2007, 75 (06)
  • [38] Phase-Field Simulations of Crystal Growth
    Plapp, Mathis
    SELECTED TOPICS ON CRYSTAL GROWTH, 2010, 1270 : 247 - 254
  • [39] Sharp-interface simulation of dendritic growth with convection: benchmarks
    Udaykumar, HS
    Marella, S
    Krishnan, S
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2003, 46 (14) : 2615 - 2627
  • [40] Phase-field simulation of recrystallization based on the unified subgrain growth theory
    Suwa, Yoshihiro
    Saito, Yoshiyuki
    Onodera, Hidehiro
    COMPUTATIONAL MATERIALS SCIENCE, 2008, 44 (02) : 286 - 295
12345