Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (12): 1390-1397.

• 论文 • 上一篇    下一篇

EQUIVALENT BOUNDARY INTEGRAL EQUATIONS WITH INDIRECT VARIABLES FOR PLANE ELASTICITY PROBLEMS

张耀明1, 温卫东1, 张作泉2, 孙焕纯3, 吕和祥3   

  1. 1. College of Energy & Power Engineering, Nanjing University 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
  • 收稿日期:2001-12-10 修回日期:2003-07-04 出版日期:2003-12-18 发布日期:2003-12-18
  • 通讯作者: LÜ He-xiang,SUN Huan-chun

EQUIVALENT BOUNDARY INTEGRAL EQUATIONS WITH INDIRECT VARIABLES FOR PLANE ELASTICITY PROBLEMS

ZHANG Yao-ming1, WEN Wei-dong1, ZHANG Zuo-quan2, SUN Huan-chun3, LÜ He-xiang 3   

  1. 1. College of Energy & Power Engineering, Nanjing University 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:2001-12-10 Revised:2003-07-04 Online:2003-12-18 Published:2003-12-18

摘要: 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.

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.

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