航空学报 > 1991, Vol. 12 Issue (9): 459-466

圆管孔边角裂纹剪切型应力强度因子的封闭解

王奇志1, 张行1, 任炳义2   

  1. 1. 北京航空航天大学 ;2. 成都飞机公司
  • 收稿日期:1990-06-06 修回日期:1990-12-10 出版日期:1991-09-25 发布日期:1991-09-25

A CLOSED FORM SOLUTION OF STRESS INTENSITY FACTORS OF SHEAR MODE FOR A CIRCULAR TUBE WITH HOLE EDGE CORNER CRACKS

Wang Qizhi1, Zhang Xing1, Ren Bingyi2   

  1. 1. Beijing University of Aeronautics, Astronautics;2. Chengdu Aircraft Company
  • Received:1990-06-06 Revised:1990-12-10 Online:1991-09-25 Published:1991-09-25

摘要: 在飞机全动平尾大轴中,经常出现孔边角裂纹。本文提出了一种新的工程-解析方法,导出了飞机平尾大轴孔边角裂纹剪切型应力强度因子的封闭解。这种能量释放方法非常节省机时与人力,可以获得大量系统的新结果。

关键词: 剪切型应力强度因子, 飞机平尾大轴, 孔边角裂纹, 能量释放率

Abstract: A closed form solution of stress intensity factors of shear mode for a circular tube with non-throughthickness hole edge cracks is derived by means of the energy release rate method. This method is used to formulate a classical Bernouli's differential equation about the amplitude of crack sliding displacements with respect to the parameter of virtual crack extension. This equation has closed form solution and the integration can be carried out by variable separation. The stress intensity factors KII and KIII are determined by the amplitude of crack sliding displacements. The mode of crack sliding displacements are given by the two dimensional assuptions of radial and circumferential slices of the circular tube. This closed form solution of energy release rate method is very time-saving and a complete series of useful results can be obtained. The results are degenerated to the cases of flat plates and fit very well with those given by alternating method.

Key words: stress intensity factors of shear modes, tube, hole edge corner crack, energy release rate method, closed form solution