Oscillatory instability of crack propagations in quasistatic fracture.
Oscillatory instability of crack propagations in quasistatic fracture.
复制标题
准静态断裂中裂纹扩展的振荡不稳定性。
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
Hiizu Nakanishi
中科院分区：
文献类型：
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作者：
S. Sasa;Ken Sekimoto;Hiizu Nakanishi
本文从理论上研究了薄板中准静态裂纹的扩展问题。应用Griffith理论确定裂纹扩展条件和裂纹尖端直线扩展运动。基于裂纹尖端运动使得奇异剪应力为零的假设，建立了裂纹直线扩展的线性稳定性问题。结果表明，直线传播在一定条件下变得不稳定，并出现振荡传播。对临界条件进行了定量计算，并与相应的实验结果进行了比较。
Quasistatic crack propagations in a thin plate are studied theoretically. The Griffith theory is applied to determine a crack extension condition and the motion of crack tips in straight propagation. A linear stability problem for the straight propagation is formulated, based on the assumption that the crack tip moves in such a way that a singular shear stress is made to vanish. It is shown that straight propagations become unstable under certain conditions and that an oscillatory propagation appears. The critical conditions are calculated quantitatively, and the results are compared with the corresponding experiments.