The Solution of Integral Equations with Strongly Singular Kernels Applied to the Torsion of Cracked Circular Cylinder

Li Yu-lan; Ma Zhi-qing; Tang Ren-ji

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(10): 853-859

Li Yu-lan, Ma Zhi-qing, Tang Ren-ji. The Solution of Integral Equations with Strongly Singular Kernels Applied to the Torsion of Cracked Circular Cylinder[J]. Applied Mathematics and Mechanics, 1993, 14(10): 853-859.

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The Solution of Integral Equations with Strongly Singular Kernels Applied to the Torsion of Cracked Circular Cylinder

1.
Lanzhou University, Lanzhou;
2.
The 9th Design & Research Institute, CSSC, Shanghai;
3.
Shanghai Jiaotong University, Shanghai

Received Date: 1992-07-10
Publish Date: 1993-10-15

Abstract

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.
- torsion of cracked cylinder,
- strongly singular integral equation,
- star-type crack,
- torsional rigidity,
- stress intensity factor

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References(6)

References

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