Equivalent Boundary Integral Equations With Indirect Variables for Plane Elasticity Problems

ZHANG Yao-ming; WEN Wei-dong; ZHANG Zuo-quan; SUN Huan-chun; LÜ He-xiang

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Article Navigation > Applied Mathematics and Mechanics > 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.

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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

Received Date: 2001-12-10
Rev Recd Date: 2003-07-04
Publish Date: 2003-12-15

Abstract

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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References(8)

References

[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.