| THE SOLUTION OF INTEGRAL EQUATIONS WITH STRONGLY SINGULAR KERNELS APPLIED TO THE TORSION OF CRACKED CIRCULAR CYLINDER |
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| 作者姓名： | 李玉兰 马稚青 汤任基 |
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| 作者单位： | Lanzhou University，Lanzhou，The 9th Design and Research Institute，CSSC，Shanghai，Shanghai Jiaotong University，Shanghai |
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| 基金项目： | 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.
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| 收稿时间： | 10 July 1992 |
The solution of integral equations with strongly singular kernels applied to the torsion of cracked circular cylinder |
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| 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(English Edition),1993,14(10):899-906. |
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| Authors: | Li Yu-lan Ma Zhi-qing Tang Ren-ji |
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| Institution: | (1) Lanzhou University, Lanzhou;(2) The 9th Design and Research Institute, CSSC, Shanghai;(3) Shanghai Jiaotong University, Shanghai |
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| 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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| Keywords: | torsion of cracked cylinder strongly singular integral equation star-type crack torsional rigidity stress intensity factor |
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