Applied Mathematics and Mechanics

, Volume 24, Issue 12, pp 1390–1397 | Cite as

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


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.

Key words

variational principle exterior problem equivalent boundary integral equation (EBIE) 

Chinese Library Classification number


2000 Mathematics Subject Classification

74S15 74K99 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Zhang Yao-ming
    • 1
  • Wen Wei-dong
    • 1
  • Zhang Zuo-quan
    • 2
  • Sun Huan-chun
    • 3
  • Lü He-xiang
    • 3
  1. 1.College of energy & Power EngineeringNanjing University of Aeronautics and AstronauticsNanjingP. R. China
  2. 2.School of Mathematics and PhysicsNorthern Jiaotong InstituteBeijingP. R. China
  3. 3.Department of MechanicsDalian University of TechnologyDalianP. R. China

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