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
  • [41] Phase field study of acicular growth: Role of elasticity in Widmanstatten structure
    Cottura, Maeva
    Appolaire, Benoit
    Finel, Alphonse
    Le Bouar, Yann
    ACTA MATERIALIA, 2014, 72 : 200 - 210
  • [42] Phase-field modeling of crack growth and interaction in rock
    Xu, Bin
    Xu, Tao
    Xue, Yanchao
    Heap, Michael J.
    Ranjith, P. G.
    Wasantha, P. L. P.
    Li, Zhiguo
    GEOMECHANICS AND GEOPHYSICS FOR GEO-ENERGY AND GEO-RESOURCES, 2022, 8 (06)
  • [43] An adaptive phase field approach to 3D internal crack growth in rocks
    Xu, Bin
    Xu, Tao
    Heap, Michael J.
    Kushnir, Alexandra R. L.
    Su, Bo-yi
    Lan, Xiao-cong
    COMPUTERS AND GEOTECHNICS, 2024, 173
  • [44] Phase-field finite element modelling of creep crack growth in martensitic steels
    Ragab, Raheeg
    Sun, Wei
    Li, Ming
    Liu, Tao
    ENGINEERING FRACTURE MECHANICS, 2024, 310
  • [45] A mode-adjustable phase-field model for brittle fracture by regulating distortional crack driving energy
    Hao, Liulei
    Yu, Hongjun
    Zhu, Shuai
    Shen, Zhen
    Shen, Rilin
    Huang, Kai
    Guo, Licheng
    ENGINEERING FRACTURE MECHANICS, 2022, 276
  • [46] Finite deformation cohesive zone phase field model for crack propagation in multi-phase microstructures
    Tarafder, Preetam
    Dan, Saikat
    Ghosh, Somnath
    COMPUTATIONAL MECHANICS, 2020, 66 (03) : 723 - 743
  • [47] The influences of crystal orientation and crack interaction on the initiation of growth and propagation mode of microcrack: A phase-field-crystal study
    Hu, Shi
    Wang, Song
    PHYSICA B-CONDENSED MATTER, 2019, 552 : 104 - 109
  • [48] Coupled phase field finite element model for crack propagation in elastic polycrystalline microstructures
    Shahba, Ahmad
    Ghosh, Somnath
    INTERNATIONAL JOURNAL OF FRACTURE, 2019, 219 (01) : 31 - 64
  • [49] Mixed mode crack propagation in staggered biocomposites using phase field modelling
    Raj, Kiran
    Murali, Palla
    JOURNAL OF THE MECHANICAL BEHAVIOR OF BIOMEDICAL MATERIALS, 2020, 101
  • [50] A PHASE-FIELD MODEL FOR COMPLIANCE SHAPE OPTIMIZATION IN NONLINEAR ELASTICITY
    Penzler, Patrick
    Rumpf, Martin
    Wirth, Benedikt
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2012, 18 (01) : 229 - 258