A Study on the Propagation of Brittle Fracture (1st Report)

A Study on the Propagation of Brittle Fracture (1st Report)
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脆性断裂扩展的研究(第1次报告)

DOI:
10.2534/jjasnaoe1952.1960.108_347
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发表时间:
1960
期刊:
Journal of Zosen Kiokai
影响因子:
--
通讯作者:
H. Itagaki
H. Itagaki
中科院分区:
--
文献类型:
--
作者:
M. Yoshiki;T. Kanazawa;H. Itagaki

文献摘要

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计算了无限远均匀拉应力下一定等速延伸裂纹的应力分布和裂纹张开量,研究了裂纹速度对应力分布和应变能释放率的影响。结论如下:(1)在纵向应力波到达时刻以外,裂纹路径上的应力分布没有受到扰动,受扰动区域应力部分低于无穷远均匀应力。最小应力出现在瑞利波到达的点。 (2) 与静力问题一样,释放的弹性应变能与裂纹长度的平方成正比,应变能释放率与裂纹长度成正比。当裂纹速度不太高时(α < 0.2),裂纹速度对它们的影响很小,但当裂纹以较高速度扩展时,裂纹速度迅速增大,在瑞利波速度下,它们变得不定。
The stress distribution and the amount of crack-open-up are calculated on an extending crack : with a certain constant velocity under uniform tensile stress at infinity, and the effect of crack velocity on the stress distribution and strain energy release rate is studied.The conclusions are as follows : (1) The stress distribution on the crack path is not disturbed beyound the point where the longitudinal stress wave reaches at that moment, and in the disturbed region stress becomes partially lower than the uniform stress at infinity. The minimum stress appears at the point where Rayleigh wave reaches.(2) As in the static problem, the released elastic strain energy is proportional to the square of the crack length and the strain energy release rate is proportional to the crack length. The effect of crack velocity to them is little while the velocity is not so high (α < 0.2), but when the crack propagates at the higher velocity they increases rapidly, and at the velocity of Rayleigh wave they becomes indefinite.