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Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (5): 604-.

• Articles • 上一篇    下一篇

BOUNDARY INTEGRAL FORMULA OF ELASTIC PROBLEMS IN CIRCLE PLANE

  

  1. 1. College of Science, China University of Mining & Technology, Xuzhou 221008, Jiangsu Province, P.R. China;
    2. Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P.R. China;
    3. College of Polytectmology, Xuzhou Normal University, Xuzhou 221011, Jiangsu Province, P.R. China
  • 收稿日期:2003-09-30 修回日期:2004-11-09 出版日期:2005-05-03 发布日期:2005-05-03

BOUNDARY INTEGRAL FORMULA OF ELASTIC PROBLEMS IN CIRCLE PLANE

  1. 1. College of Science, China University of Mining & Technology, Xuzhou 221008, Jiangsu Province, P.R. China;
    2. Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P.R. China;
    3. College of Polytectmology, Xuzhou Normal University, Xuzhou 221011, Jiangsu Province, P.R. China
  • Received:2003-09-30 Revised:2004-11-09 Online:2005-05-03 Published:2005-05-03

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摘要： By bianalytic functions, the boundary integral formula of the stress function for the elastic problem in a circle plane is developed. But this integral formula includes a strongly singular integral and can not be directly calculated. After the stress function is expounded to Fourier series, making use of some formulas in generalized functions to the convolutions, the boundary integral formula which does not include strongly singular integral
is derived further. Then the stress function can be got simply by the integration of the values of the stress function and its derivative on the boundary. Some examples are given. It shows that the boundary integral formula of the stress function for the elastic problem is convenient.

关键词: multiphase flow, colloidal dispersion, suspension, emulsion

Abstract: By bianalytic functions, the boundary integral formula of the stress function for the elastic problem in a circle plane is developed. But this integral formula includes a strongly singular integral and can not be directly calculated. After the stress function is expounded to Fourier series, making use of some formulas in generalized functions to the convolutions, the boundary integral formula which does not include strongly singular integral
is derived further. Then the stress function can be got simply by the integration of the values of the stress function and its derivative on the boundary. Some examples are given. It shows that the boundary integral formula of the stress function for the elastic problem is convenient.

Key words: multiphase flow, colloidal dispersion, suspension, emulsion

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