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| BOUNDARY INTEGRAL FORMULAS FOR ELASTIC PLANE PROBLEM OF EXTERIOR CIRCULAR DOMAIN | |
| 作者姓名： | 董正筑 李舜才 余德浩 |
| 作者单位： | [1]College of Science, China University of Mining and Technology, Xuzhou 221008, Jiangsu Province, P. R. China [2]Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P. R. China [3]Industrial School, Xuzhou Normal University, Xuzhou 221011, Jiangsu Province, P. R. China |
| 摘 要： | After the stress function and the normal derivative on the boundary for the plane problem of exterior circular domain are expanded into Laurent series, comparing them with the Laurent series of the complex stress function and making use of some formulas in Fourier series and the convolutions, the boundary integral formula of the stress function is derived further. Then the stress function can be obtained directly by the integration of the stress function and its normal derivative on the boundary. Some examples are given. It shows that the boundary integral formula of the stress function is convenient to be used for solving the elastic plane problem of exterior circular domain. |
| 关 键 词： | 弹性平面问题 外循环域 双谐波方程 Fourier级数 应力函数 边界积分公式 |
| 收稿时间： | 2005-06-09 |
| 修稿时间： | 2006-03-28 |
Boundary integral formulas for elastic plane problem of exterior circular domain |
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| Zheng-zhu Dong,Shun-cai Li,De-hao Yu.BOUNDARY INTEGRAL FORMULAS FOR ELASTIC PLANE PROBLEM OF EXTERIOR CIRCULAR DOMAIN[J].Applied Mathematics and Mechanics(English Edition),2006,27(7):993-1000. | |
| Authors: | Zheng-zhu Dong Shun-cai Li De-hao Yu |
| Institution: | 1. College of Science, China University of Mining and Technology,Xuzhou 221008, Jiangsu Province, P. R. China;Institute of Computational Mathematics and Scientific/Engineering Computing,Chinese Academy of Science, Beijing 100080, P. R. China 2. College of Science, China University of Mining and Technology,Xuzhou 221008, Jiangsu Province, P. R. China;Industrial School, Xuzhou Normal University, Xuzhou 221011, Jiangsu Province, P. R. China 3. Institute of Computational Mathematics and Scientific/Engineering Computing,Chinese Academy of Science, Beijing 100080, P. R. China |
| Abstract: | After the stress function and the normal derivative on the boundary for the plane problem of exterior circular domain are expanded into Laurent series, comparing them with the Laurent series of the complex stress function and making use of some formulas in Fourier series and the convolutions, the boundary integral formula of the stress function is derived further. Then the stress function can be obtained directly by the integration of the stress function and its normal derivative on the boundary. Some examples are given. It shows that the boundary integral formula of the stress function is convenient to be used for solving the elastic plane problem of exterior circular domain. |
| Keywords: | elastic plane problem ofexterior circular domain bi-harmonic equation Fourier series stress function boundary integral formula |
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