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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 1991, Vol. 12 ›› Issue (9): 459-466.

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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

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