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Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (10): 899-906.

• 论文 • 上一篇    下一篇

THE SOLUTION OF INTEGRAL EQUATIONS WITH STRONGLY SINGULAR KERNELS APPLIED TO THE TORSION OF CRACKED CIRCULAR CYLINDER

李玉兰1, 马稚青2, 汤任基3   

  1. 1. Lanzhou University, Lanzhou;
    2. The 9th Design and Research Institute, CSSC, Shanghai;
    3. Shanghai Jiaotong University, Shanghai
  • 收稿日期:1992-07-10 出版日期:1993-10-18 发布日期:1993-10-18
  • 基金资助:
    Project supported by the Fund of the State Education Commission of China

THE SOLUTION OF INTEGRAL EQUATIONS WITH STRONGLY SINGULAR KERNELS APPLIED TO THE TORSION OF CRACKED CIRCULAR CYLINDER

Li Yu-lan1, Ma Zhi-qing2, Tang Ren-ji3   

  1. 1. Lanzhou University, Lanzhou;
    2. The 9th Design and Research Institute, CSSC, Shanghai;
    3. Shanghai Jiaotong University, Shanghai
  • Received:1992-07-10 Online:1993-10-18 Published:1993-10-18
  • Supported by:
    Project supported by the Fund of the State Education Commission of China

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摘要： In this paper, the functions of warping displacement interruption defined on the crack lines are taken for the fundamental unknown functions. The torsion problem of cracked circular cylinder is reduced to solving a system of integral equations with strongly singular kernels. Using the numerical method of these equations, the torsional rigidities and the stress intensity factors are calculated to solve the torsion problem of circular cylinder with star-type and other different types of cracks. The numerical results are satisfactory.

Abstract: In this paper, the functions of warping displacement interruption defined on the crack lines are taken for the fundamental unknown functions. The torsion problem of cracked circular cylinder is reduced to solving a system of integral equations with strongly singular kernels. Using the numerical method of these equations, the torsional rigidities and the stress intensity factors are calculated to solve the torsion problem of circular cylinder with star-type and other different types of cracks. The numerical results are satisfactory.

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