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Boundary integral formulas for elastic plane problem of exterior circular domain

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Abstract

After the stress function and the normal derivative on the boundary for the plane problem of exterior circular domain are expanded into Laurent series, comparing them with the Laurent series of the complex stress function and making use of some formulas in Fourier series and the convolutions, the boundary integral formula of the stress function is derived further. Then the stress function can be obtained directly by the integration of the stress function and its normal derivative on the boundary. Some examples are given. It shows that the boundary integral formula of the stress function is convenient to be used for solving the elastic plane problem of exterior circular domain.

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Authors and Affiliations

  1. College of Science, China University of Mining and Technology, Xuzhou, 221008, Jiangsu Province, P. R. China

    Dong Zheng-zhu  (董正筑) (Professor) & Li Shun-cai  (李舜才)

  2. Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, 100080, P. R. China

    Dong Zheng-zhu  (董正筑) (Professor) & Yu De-hao  (余德浩)

  3. Industrial School, Xuzhou Normal University, Xuzhou, 221011, Jiangsu Province, P. R. China

    Li Shun-cai  (李舜才)

Authors
  1. Dong Zheng-zhu  (董正筑)
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  2. Li Shun-cai  (李舜才)
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  3. Yu De-hao  (余德浩)
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Corresponding author

Correspondence to Dong Zheng-zhu  (董正筑).

Additional information

Communicated by DING Hao-jiang

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Dong, Zz., Li, Sc. & Yu, Dh. Boundary integral formulas for elastic plane problem of exterior circular domain. Appl Math Mech 27, 993–1000 (2006). https://doi.org/10.1007/s10483-006-0716-1

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  • DOI: https://doi.org/10.1007/s10483-006-0716-1

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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