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
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