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Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (8): 745-754.

• 论文 • 上一篇    下一篇

ON THE TORSION OF A CYLINDER WITH SEVERAL CRACKS

王晓春, 汤任基   

  1. Lanzhou University, Lanzhou
  • 收稿日期:1987-04-06 出版日期:1988-08-18 发布日期:1988-08-18
  • 基金资助:

    Projects Supported by the Science Fund of the Chinese Academy of Sciences

ON THE TORSION OF A CYLINDER WITH SEVERAL CRACKS

Wang Xiao-chun, Tang Ren-ji   

  1. Lanzhou University, Lanzhou
  • Received:1987-04-06 Online:1988-08-18 Published:1988-08-18
  • Supported by:

    Projects Supported by the Science Fund of the Chinese Academy of Sciences

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摘要： In this paper, based on paper [1], the analytic expression of the torsion Junction for a cylinder containing arbitrary oriented cracks is obtained. The problem is reduced to solve a system of singular integral equations for the unknown dislocation density functions. Using the numerical method of the singular integral equations [2,7], the torsional rigidities and stress intensity factors are evaluated for several multicracked cylinders. Next, the cr k-cutting method[5] is firstly extended to lve the torsion problem for a rectangular prism. The numerical results show that the method presented here is successful.

Abstract: In this paper, based on paper [1], the analytic expression of the torsion Junction for a cylinder containing arbitrary oriented cracks is obtained. The problem is reduced to solve a system of singular integral equations for the unknown dislocation density functions. Using the numerical method of the singular integral equations [2,7], the torsional rigidities and stress intensity factors are evaluated for several multicracked cylinders. Next, the cr k-cutting method[5] is firstly extended to lve the torsion problem for a rectangular prism. The numerical results show that the method presented here is successful.

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