平面弹性力学问题等价的间接变量边界积分方程

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

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

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.
- 变分法 /
- 外边值问题 /
- 等价的边界积分方程
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

[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.