## 留言板

 引用本文: 周慎杰, 曹志远, 孙树勋. 弹性力学问题解唯一的边界积分方程[J]. 应用数学和力学, 1999, 20(10): 1051-1056.
Zhou Shenjie, Cao Zhiyuan, Sun Shuxun. Boundary Integral Equations of Unique Solutions in Elasticity[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1051-1056.
 Citation: Zhou Shenjie, Cao Zhiyuan, Sun Shuxun. Boundary Integral Equations of Unique Solutions in Elasticity[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1051-1056.

• 中图分类号: O343

## Boundary Integral Equations of Unique Solutions in Elasticity

• 摘要: 从积分方程式出发,应用基本解的特性分析,说明在力边值问题中,位移边界积分方程和面力边界积分方程的位移解不唯一.提出了位移解唯一的条件,建立了唯一解的位移边界积分方程和面力边界积分方程.实例计算结果表明唯一解的边界积分方程是有效的.
•  [1] 胡海昌,丁浩江,何文军.弹性力学平面问题的等价的边界积分方程[J].中国科学(A),1996,26(11):1009～1014. [2] Vable M.Importance and used of rigid body mode in boundary element method[J].Int J Numer Meth,Eng,1990,29:453～472. [3] Blazquez A,Mantic V,Paris F,et al.On the removal of rigid body motion in the solution of elastostatic problems by direct BEM[J].Int J Numer Meth Eng,1996,39:4021～4038. [4] Bannerjee P K,Butterfield R.Boundary Element Methods in Engineering Science[M].UK:McGraw Hill,1981. [5] Chen G,Zhou J.Boundary Element Methods[M].London:Academic Press,1992. [6] Portela A,Aliabadi M,Rooke D P.Dual boundary element analysis of cracked plates:singularity subtraction technique[J].Int J Fracture,1994,65:369～381. [7] 叶怀安.泛函分析[M].合肥:安徽教育出版社,1984.

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##### 出版历程
• 收稿日期:  1998-10-26
• 修回日期:  1998-11-15
• 刊出日期:  1999-10-15

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