PHASE FIELD MODEL FOR MODE III CRACK GROWTH IN TWO DIMENSIONAL ELASTICITY

被引:1
|
作者
Takaishi, Takeshi [1 ]
Kimura, Masato [2 ]
机构
[1] Hiroshima Kokusai Gakuin Univ, Fac Informat Design, Hiroshima 7390321, Japan
[2] Kyushu Univ, Fac Math, Higashi Ku, Fukuoka 8128581, Japan
关键词
crack growth; phase field model; numerical simulation; BRITTLE-FRACTURE;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
A phase field model for anti-plane shear crack growth in two dimensional isotropic elastic material is proposed. We introduce a phase field to represent the shape of the crack with a regulaxization parameter epsilon > 0 and we approximate the Francfort-Marigo type energy using the idea of Ambrosio and Tortorelli. The phase field model is derived as a gradient flow of this regularized energy. We show several numerical examples of the crack growth computed with an adaptive mesh finite element method.
引用
收藏
页码:605 / 614
页数:10
相关论文
共 50 条
  • [31] Dislocation distribution model of mode III propagation crack
    Wang, Yun-Tao
    Lv, Nian-Chun
    Wang, Chao-Ying
    Cheng, Jin
    Journal of Harbin Institute of Technology (New Series), 2010, 17 (02) : 215 - 218
  • [32] Formulation of a cohesive zone model for a Mode III crack
    Zhang, W
    Deng, XM
    ENGINEERING FRACTURE MECHANICS, 2005, 72 (12) : 1818 - 1829
  • [33] On the effects of characteristic lengths in bending and torsion on Mode III crack in couple stress elasticity
    Radi, E.
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2008, 45 (10) : 3033 - 3058
  • [34] INFLUENCE OF BOUNDARY ELASTICITY ON A COUPLE STRESS ELASTIC SOLID WITH A MODE-III CRACK
    Sigaeva, T.
    Schiavone, P.
    QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2015, 68 (02): : 195 - 202
  • [35] The Effects of Surface Elasticity on an Elastic Solid With Mode-III Crack: Complete Solution
    Kim, C. I.
    Schiavone, P.
    Ru, C-Q
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2010, 77 (02): : 1 - 7
  • [36] Effect of surface elasticity on transient elastic field around a mode-III crack-tip under impact loads
    Yang, Ying
    Schiavone, Peter
    Li, Xian-Fang
    ENGINEERING FRACTURE MECHANICS, 2021, 258 (258)
  • [37] Equidistribution algorithm for a two-dimensional phase field model
    Tapia Armenta, Juan J.
    Mariscal, Gilberto Lopez
    SEVENTH MEXICAN INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE, PROCEEDINGS, 2006, : 11 - +
  • [38] A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks
    Li, Tong
    Yang, Zhenting
    Xu, Chenghui
    Xu, Xinsheng
    Zhou, Zhenhuan
    MATERIALS, 2023, 16 (10)
  • [39] SUBCRITICAL GROWTH OF A MODE III CRACK IN A VISCOELASTIC COMPOSITE BODY
    Kaminsky, A. A.
    Selivanov, M. F.
    Chernoivan, Yu. A.
    INTERNATIONAL APPLIED MECHANICS, 2013, 49 (03) : 293 - 302
  • [40] Two dynamic propagation problems of symmetrical mode III crack
    Lu, Nian-chun
    Cheng, Yun-hong
    Wang, Yun-tao
    FRONTIERS OF MANUFACTURING AND DESIGN SCIENCE, PTS 1-4, 2011, 44-47 : 693 - +