## 留言板

 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.
ZHANG Yao-ming, WEN Wei-dong, ZHANG Zuo-quan, SUN Huan-chun, LÜ He-xiang. Equivalent Boundary Integral Equations With Indirect Variables for Plane Elasticity Problems[J]. Applied Mathematics and Mechanics, 2003, 24(12): 1231-1237.
 Citation: ZHANG Yao-ming, WEN Wei-dong, ZHANG Zuo-quan, SUN Huan-chun, LÜ He-xiang. Equivalent Boundary Integral Equations With Indirect Variables for Plane Elasticity Problems[J]. Applied Mathematics and Mechanics, 2003, 24(12): 1231-1237.

• 中图分类号: O342

## Equivalent Boundary Integral Equations With Indirect Variables for Plane Elasticity Problems

• 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.
•  [1] 孙焕纯,张耀明,许强,等.无奇异边界元法[M].大连:大连理工大学出版社,1999. [2] 余德浩.自然边界元方法的数学理论[M].北京:科学出版社,1993. [3] Schmidt G,Stress H.The convergence of a direct BEM for the plane mixed boundary value problems of the Laplaceian[J].Numer Math,1988,54(1):145-165. [4] Ciaret P G.The Finite Element Method for Elliptic Problems[M].Amsterdam:North-Holland,1978. [5] 王鸣,张鸿庆.广义Korn-Poincare不等式及其应用Ⅰ[J].科学探索,1982,2(3):83-92. [6] Zeb A,Elliot L,Ingham D B,et ol.The boundary element method for solution of Stokes equation in two-dimensional domains[J].Eng Anal Boundary Element,1998,22(11):317-326. [7] 张耀明,孙焕纯.薄板弯曲问题的等价的边界积分方程[J].应用数学和力学,2000,21(11):1246-1255. [8] 张耀明,孙焕纯.平面Laplace问题[J].计算力学学报,2001,18(2):162-166.

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##### 出版历程
• 收稿日期:  2001-12-10
• 修回日期:  2003-07-04
• 刊出日期:  2003-12-15

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