A note on a phase-field model for anisotropic systems

被引：3
|
作者：
Lussardi, Luca [1 ]
机构：
[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis N Tartaglia, I-25121 Brescia, Italy
来源：
ASYMPTOTIC ANALYSIS | 2015年 / 94卷 / 3-4期
关键词：
phase-field; anisotropy; Gamma-convergence; SEMICONTINUITY;
D O I：
10.3233/ASY-151312
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate, using the framework of Gamma-convergence, a phase-field model proposed in [Proc. R. Soc. A 465 ( 2009), 1337-1359] for strongly anisotropic systems; in particular, we prove a full Gamma-convergence result for an anisotropic Modica-Mortola-type energy.
引用
收藏
页码：241 / 254
页数：14
相关论文
共 50 条
  • [31] A fourth-order degradation tensor for an anisotropic damage phase-field model
    Petrini, A. L. E. R.
    Esteves, C. L. C. S.
    Boldrini, J. L.
    Bittencourt, M. L.
    FORCES IN MECHANICS, 2023, 12
  • [32] A hybrid thermo-mechanical phase-field model for anisotropic brittle fracture
    Li, Weidong
    Li, Peidong
    Nguyen-Thanh, Nhon
    Zhou, Kun
    ENGINEERING FRACTURE MECHANICS, 2024, 306
  • [33] A note on the summation relation in phase-field equations
    Haghani, Reza
    Erfani, Hamidreza
    McClure, James E.
    Berg, Carl Fredrik
    PHYSICS OF FLUIDS, 2023, 35 (09)
  • [34] On the conserved phase-field model
    Miranville, Alain
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 400 (01) : 143 - 152
  • [35] Phase-field model for multiphase systems with different thermodynamic factors
    Kundin, Julia
    Siquieri, Ricardo
    PHYSICA D-NONLINEAR PHENOMENA, 2011, 240 (06) : 459 - 469
  • [36] Phase-field model for multiphase systems with preserved volume fractions
    Nestler, Britta
    Wendler, Frank
    Selzer, Michael
    Stinner, Bjeoern
    Garcke, Harald
    PHYSICAL REVIEW E, 2008, 78 (01):
  • [37] On a phase-field model with advection
    Benes, M
    NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, PROCEEDINGS, 2004, : 141 - 150
  • [38] On a phase-field model for electrowetting
    Eck, C.
    Fontelos, M.
    Gruen, G.
    Klingbeil, F.
    Vantzos, O.
    INTERFACES AND FREE BOUNDARIES, 2009, 11 (02) : 259 - 290
  • [39] Multigrain phase-field simulation in ferroelectrics with phase coexistences: An improved phase-field model
    Fan, Ling
    Werner, Walter
    Subotic, Swen
    Schneider, Daniel
    Hinterstein, Manuel
    Nestler, Britta
    COMPUTATIONAL MATERIALS SCIENCE, 2022, 203
  • [40] Phase-field crystal modeling of anisotropic material systems of arbitrary Poisson's ratio
    Choudhary, Muhammad Ajmal
    Kundin, Julia
    Emmerich, Heike
    PHILOSOPHICAL MAGAZINE LETTERS, 2012, 92 (09) : 451 - 458
12345