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

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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

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.

2010 MSC Number: 

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