| SAINT-VENANT’S TORSION PROBLEM FOR A COMPOSITE CIRCULAR CYLINDER WITH ANINTERNAL EDGE CRACK |
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| 引用本文： | 陶肪敏,汤任基.SAINT-VENANT’S TORSION PROBLEM FOR A COMPOSITE CIRCULAR CYLINDER WITH ANINTERNAL EDGE CRACK[J].应用数学和力学(英文版),1993,14(6):507-516. |
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| 作者姓名： | 陶肪敏 汤任基 |
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| 作者单位： | Shanghai Jiaotong University，Shanghai，Shanghai Jiaotong University，Shanghai |
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| 基金项目： | P.H.D.Foundation of the State Education Commision of China |
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| 摘 要： | In this paper the writer uses Muskhelishvili single-layer potential function solutionand single crack solution for the torsion problem of a circular cylinder to discuss thetorsion problem of a composite cylinder with an internal crack,and the problem isreduced to a set of mixed-type integral equation with generalized Cauchy-kernel.Then,by using the integration formula of Gauss-Jacobi.the numerical method isestablished and several numerical examples are calculated.The torsional rigidity andthe stress intensity factors are obtained.The results of these examples fit the resultsobtained by the previous papers better.
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| 收稿时间： | 22 May 1992 |
Saint-Venant's torsion problem for a composite circular cylinder with aninternal edge crack |
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| Tao Fang-ming,Tang Ren-ji.Saint-Venant's torsion problem for a composite circular cylinder with aninternal edge crack[J].Applied Mathematics and Mechanics(English Edition),1993,14(6):507-516. |
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| Authors: | Tao Fang-ming Tang Ren-ji |
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| Institution: | (1) Shanghai Jiaotong University, Shanghai |
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| Abstract: | In this paper the writer uses Muskhelishvili single-layer potential function solution and single crack solution for the torsion problem of a circular cylinder to discuss the torsion problem of a composite cylinder with an internal crack, and the problem is reduced to -a set of mixed-type integral equation with generalized Cauchy-kernel. Then, by using the integration formula of Gauss-Jacobi, the numerical method is established and several numerical examples are calculated. The torsional rigidity and the stress intensity factors are obtained. The results of these examples fit the results obtained by the previous papers better. |
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| Keywords: | composite circular cylinder internal crack Cauchy-type integral equation |
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