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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:
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.
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页码:605 / 614
页数:10
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