Boundary Integral Equations of Unique Solutions in Elasticity

Zhou Shenjie; Cao Zhiyuan; Sun Shuxun

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 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.

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.

PDF( 241 KB)

Boundary Integral Equations of Unique Solutions in Elasticity

1.
Department of Chemical Engineering, Shandong University of Technology, Jinan 250061, P R China;
2.
Department of Engineering Mechanics, Tongji University, Shanghai 200092, P R China;
3.
Institute of Engineering Mechanics, Shandong University of Techn ology, Jinan 250061, P R China

Received Date: 1998-10-26
Rev Recd Date: 1998-11-15
Publish Date: 1999-10-15

Abstract

Abstract

The properties of the fundamental solution are derived in linear elastostatics. These properties are used to show that the conventional displacement and traction boundary integral equations yield non-unique displacement solutions in a traction boundary value problem. The condition for the existence of unique displacement solutions is proposed for the traction boundary value problem. The degrees of freedom of the displacement solution are removed by the condition to obtain the boundary integral equations of unique solutions for the traction boundary value problems. Numerical example is presented to demonstrate the accuracy and efficiency of the present equations.
- boundary integral equation,
- boundary element method,
- elasticity

FullText(HTML)

References(7)

References

[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.