Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (4): 446-453.

• 论文 • 上一篇    下一篇

ELASTIC ANALYSIS OF ORTHOTROPIC PLANE PROBLEMS BY THE SPLINE FICTITIOUS BOUNDARY ELEMENT METHOD

苏成, 韩大建   

  1. Department of Civil Engineering, South China University of Technology, Guangzhou 510640, P.R.China
  • 收稿日期:2000-11-20 修回日期:2001-10-09 出版日期:2002-04-18 发布日期:2002-04-18
  • 通讯作者: YUN Tian-quan
  • 基金资助:
    the Natural Science Foundation of Guangdong (984059)

ELASTIC ANALYSIS OF ORTHOTROPIC PLANE PROBLEMS BY THE SPLINE FICTITIOUS BOUNDARY ELEMENT METHOD

SU Cheng, HAN Da-jian   

  1. Department of Civil Engineering, South China University of Technology, Guangzhou 510640, P.R.China
  • Received:2000-11-20 Revised:2001-10-09 Online:2002-04-18 Published:2002-04-18
  • Supported by:
    the Natural Science Foundation of Guangdong (984059)

摘要: Non-singular fictitious boundary integral equations for orthotropic elastic plane problems were deduced according to boundary conditions by the techniques of singular-points-outside-domain. Then the unknown fictitious load functions along the fictitious boundary were expressed in terms of basic spline functions, and the boundary-segment-least-squares method was proposed to eliminate the boundary residues obtained. By the above steps, numerical solutions to the integral equations can be achieved. Numerical examples are given to show the accuracy and efficiency of the proposed method.

Abstract: Non-singular fictitious boundary integral equations for orthotropic elastic plane problems were deduced according to boundary conditions by the techniques of singular-points-outside-domain. Then the unknown fictitious load functions along the fictitious boundary were expressed in terms of basic spline functions, and the boundary-segment-least-squares method was proposed to eliminate the boundary residues obtained. By the above steps, numerical solutions to the integral equations can be achieved. Numerical examples are given to show the accuracy and efficiency of the proposed method.

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