The fractal behaviour of crack propagation in brittle materials

被引:0
|
作者
Ding, HZ [1 ]
Zhao, RB [1 ]
Xing, XS [1 ]
机构
[1] N CHINA INST WATER RESOURCES & HYDROPOWER,GRAD SCH,BEIJING 100044,PEOPLES R CHINA
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中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper we try to show how a reasonable equation for crack propagation in brittle materials naturally leads to self-affine or statistically self-similar failure structures. We argue that the fractal behaviours of crack propagation in brittle materials are in essence determined by the scale-invariance of the Fokker-Planck equation. This approach provides a good illustration for understanding the microscopic origin of fractal behaviour in real materials.
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页码:801 / 808
页数:8
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