| 计算裂纹柱Saint-Venant弯曲的弯曲中心和应力强度因子方法 |
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| 引用本文： | 汤任基,汤昕燕.计算裂纹柱Saint-Venant弯曲的弯曲中心和应力强度因子方法[J].应用数学和力学,2001,22(1):71-78. |
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| 作者姓名： | 汤任基 汤昕燕 |
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| 作者单位： | 1.上海交通大学工程力学系, 上海200030; |
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| 摘 要： | 使用单裂纹解及调和函数的常规解,裂纹柱受横向力作用而引起的Saint-Venant弯曲问题,被归为解两组积分方程,并获得了一般解。在此基础上,对横截面不为薄壁但扭转刚度很小的裂纹柱,提出了一种计算弯曲中心和应力强度因子的方法,给出了一些数值算例。
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| 关 键 词： | 裂纹柱 Saint-Venant弯曲 弯曲中心 应力强度因子 积分方程方法 |
| 文章编号： | 1000-0887(2001)01-0071-08 |
| 收稿时间： | 2000-01-20 |
| 修稿时间： | 2000年1月20日 |
Method to Calculate
Bending Center and Stress Intensity Factors of Cracked Cylinder Under Saint-Venant Bending |
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| TANG Ren-ji,TANG Xin-yan.Method to Calculate
Bending Center and Stress Intensity Factors of Cracked Cylinder Under Saint-Venant Bending[J].Applied Mathematics and Mechanics,2001,22(1):71-78. |
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| Authors: | TANG Ren-ji TANG Xin-yan |
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| Institution: | 1.Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P R China;2.Agricultural Engineering College, Nanjing Agricultural University, Nanjing 210032, P R China |
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| Abstract: | Using the single crack solution and the regular solution of plane harmonic function, the problem of Saint_Venant bending of a cracked cylinder by a transverse force was reduced to solving two sets of integral equations and its general solution was then obtained. Based on the obtained solution, a method to calculate the bending center and the stress intensity factors of the cracked cylinger whose cross section is not thin_walled, but of small torsion rigidity is proposed. Some numerical examples are given. |
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| Keywords: | cracked cylinger Saint_Venant bending bending center stress intensity factors integral equation method |
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