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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Equivalent Boundary Integral Equations With Indirect Variables for Plane Elasticity Problems

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

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.
- 变分法 /
- 外边值问题 /
- 等价的边界积分方程
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.
- variational principle /
- exterior problem /
- EBIE

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