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
来源：
KYBERNETIKA | 2009年 / 45卷 / 04期
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
  • [21] An improved phase-field model for fatigue crack growth considering constraint effects
    Huang, Xin
    Xie, Qikun
    Qi, Hongyu
    Li, Shaolin
    Yang, Xiaoguang
    Shi, Duoqi
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 2024, 134
  • [22] Phase-field models for fatigue crack growth
    Mesgarnejad, A.
    Imanian, A.
    Karma, A.
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 2019, 103
  • [23] An assessment of phase field fracture: crack initiation and growth
    Kristensen, Philip K.
    Niordson, Christian F.
    Martinez-Paneda, Emilio
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021, 379 (2203):
  • [24] Phase-field modeling of crack growth and mitigation in solid oxide cells
    Xue, Fei
    Lei, Yinkai
    Cheng, Tian -Le
    Epting, William K.
    Hackett, Gregory
    Abernathy, Harry
    Wen, You -Hai
    INTERNATIONAL JOURNAL OF HYDROGEN ENERGY, 2023, 48 (26) : 9845 - 9860
  • [25] A mixed mode phase-field model of ductile fracture
    Huber, William
    Zaeem, Mohsen Asle
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2023, 171
  • [26] A modification of the phase-field model for mixed mode crack propagation in rock-like materials
    Zhang, Xue
    Sloan, Scott W.
    Vignes, Chet
    Sheng, Daichao
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 322 : 123 - 136
  • [27] On the crack-driving force of phase-field models in linearized and finite elasticity
    Bilgen, Carola
    Weinberg, Kerstin
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 353 : 348 - 372
  • [28] The effect of crack surface interaction on the stress intensity factor in Mode III crack growth in round shafts
    Vaziri, A
    Nayeb-Hashemi, H
    ENGINEERING FRACTURE MECHANICS, 2005, 72 (04) : 617 - 629
  • [29] Asymptotic analysis for steady mode III crack growth in a piezoelectric sandwich composite
    Zhou, ZD
    Nishioka, T
    INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2005, 22 (3-4) : 121 - 132
  • [30] A crystal plasticity phase-field model for microstructure sensitive fatigue crack growth in a superalloy
    Liu, Pengfei
    Chen, Zhanghua
    Xu, Chao
    Dong, Jianxin
    Jiang, He
    ENGINEERING FRACTURE MECHANICS, 2024, 311
12345