| 含裂纹柱体扭转的积分方程解法 |
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| 引用本文： | 汤任基 陈卫江. 含裂纹柱体扭转的积分方程解法[J]. 上海交通大学学报, 1991, 25(3): 1-9 |
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| 作者姓名： | 汤任基 陈卫江 |
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| 作者单位： | 上海交通大学工程力学系(汤任基)，兰州大学力学系(陈卫江) |
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| 摘 要： | 本文利用单裂纹基本解,将裂纹产生的不连续解分离,然后配以常规边界积分方程解答,使含裂纹柱的扭转问题归结为解一组混合型积分方程,并为此建立了数值方法.文中对工程中有兴趣的几种含单裂纹柱体的扭转作了数值计算,得到了它们的抗扭刚度和应力强度因子.
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| 关 键 词： | 柱体 裂纹 扭转 数值计算 积分方程 |
Integral Equation Method for Solving Torsion Problem of Cracked Cylinders |
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| Tang Renji Chen Weijiang. Integral Equation Method for Solving Torsion Problem of Cracked Cylinders[J]. Journal of Shanghai Jiaotong University, 1991, 25(3): 1-9 |
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| Authors: | Tang Renji Chen Weijiang |
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| Affiliation: | Tang Renji Chen Weijiang |
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| Abstract: | By separating the discontinuous solution by using the fundamentalcrack solution,together with the regular solution of boundary integral equa-tions,the torsion problem of a cracked cylinder is reduced to solve a setof mixed-type integral equations for which the numerical method is thenproposed.Several numerical calculations for cylinders containing a singlecrack,which are of engineering interest,were made and the results oftorsional rigidities and stress stress intensity intensity factors were alsoobtained.Numerical examples show that the method proposed here ischaracterizedby its fine accuracy and conveniece for use,which can beextended tocases of multiple cracks. |
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| Keywords: | cracked cylinder torsion singular integral equations boundary integral equations numerical method |
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