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Equivalent boundary integral equations with indirect variables for plane elasticity problems

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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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Authors and Affiliations

  1. College of energy & Power Engineering, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, P. R. China

    Zhang Yao-ming Professor, Doctor & Wen Wei-dong

  2. School of Mathematics and Physics, Northern Jiaotong Institute, 100044, Beijing, P. R. China

    Zhang Zuo-quan

  3. Department of Mechanics, Dalian University of Technology, 116023, Dalian, P. R. China

    Sun Huan-chun & Lü He-xiang

Authors
  1. Zhang Yao-ming Professor, Doctor
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  2. Wen Wei-dong
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  3. Zhang Zuo-quan
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  4. Sun Huan-chun
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  5. Lü He-xiang
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Additional information

(Contributed by LÜ He-xiang and SUN Huan-chun)

Biography: ZHANG Yao-ming (1962≈)

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Yao-ming, Z., Wei-dong, W., Zuo-quan, Z. et al. Equivalent boundary integral equations with indirect variables for plane elasticity problems. Appl Math Mech 24, 1390–1397 (2003). https://doi.org/10.1007/BF02435579

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  • DOI: https://doi.org/10.1007/BF02435579

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2000 Mathematics Subject Classification

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