| 平面弹性外问题的等价的直接变量边界积分方程 |
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| 引用本文： | 张耀明 温卫东 孙焕纯. 平面弹性外问题的等价的直接变量边界积分方程[J]. 计算力学学报, 2003, 20(4): 478-482 |
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| 作者姓名： | 张耀明 温卫东 孙焕纯 |
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| 作者单位： | 1. 南京航空航天大学,能源与动力系,南京,210016
2. 大连理工大学,力学系,大连,116023 |
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| 摘 要： | 用变分法证明平面弹性力学外边值问题的正确提法。在此基础之上，确立外问题的等价的直接变量边界积分方程。对传统的惯用的直接变量边界积分方程进行了深入的讨论，表明它与原边值问题不等价。
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| 关 键 词： | 平面弹性力学 外边值问题 等价直接变量边界积分方程 变分法 |
| 文章编号： | 1007-4708(2003)04-0478-05 |
| 修稿时间： | 2001-07-24 |
Equivalent boundary integral equations with direct variables for plane elasticity problems |
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| Zhang Yaoming, Wen Weidong, Sun Huanchun. Equivalent boundary integral equations with direct variables for plane elasticity problems[J]. Chinese Journal of Computational Mechanics, 2003, 20(4): 478-482 |
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| Authors: | Zhang Yaoming Wen Weidong Sun Huanchun |
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| Abstract: | Based on the exact form of the exterior problem for plane elasticity proved by the variational principle, the equivalent boundary integral equations (EBIE) with direct variables, which were fully equivalent to the original boundary value pro blem, were deduced rigorously. From an example, it was showed that the conventionally boundary i ntegral equation with direct variables is not EBIE. |
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| Keywords: | variational principle exterior problems EBIE |
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