| 平面弹性力学问题等价的间接变量边界积分方程 |
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| 引用本文： | 张耀明,温卫东,张作泉,孙焕纯,吕和祥.平面弹性力学问题等价的间接变量边界积分方程[J].应用数学和力学,2003,24(12):1231-1237. |
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| 作者姓名： | 张耀明 温卫东 张作泉 孙焕纯 吕和祥 |
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| 作者单位： | 1.南京航空航天大学能源与动力学院, 南京 210016; |
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| 摘 要： | 用变分法确立平面弹性力学外边值问题的确切形式.在此基础之上,导出外边值问题的等价的间接变量边界积分方程.一些实例表明传统的惯用的直接变量边界积分方程与原边值问题是不等价的.
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| 关 键 词： | 变分法 外边值问题 等价的边界积分方程 |
| 文章编号： | 1000-0887(2003)12-1231-07 |
| 收稿时间： | 2001-12-10 |
| 修稿时间： | 2001年12月10 |
Equivalent Boundary Integral Equations With Indirect Variables for Plane Elasticity Problems |
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| Institution: | 1.College of Energy & Power Engineering, Nanjing Univeristy of Aeronautics and Astronautics, Nanjing 210016, P. R. China;2.School of Mathematics and Physics, Northern Jiaotong Institute, Beijing 100044, P. R. China;3.Department of Mechanics, Dalian University of Technology, Dalian 116023, P. R. China |
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| Abstract: | The exact form of the exterior problem for plane elasticity problems was produced and fully proved by the variational principle.Based on this,the equivalent boundary integral equations(EBIE) with direct variables,which are equivalent to the original boundary value problem,were deduced rigorously.The conventionally prevailing boundary integral equation with direct variables was discussed thoroughly by some examples and it is shown that the previous results are not EBIE. |
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| Keywords: | variational principle exterior problem EBIE |
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