Applied Mathematics and Mechanics

, Volume 4, Issue 5, pp 743–750 | Cite as

General solution of multi-valued displacement problem of an eccentric circular ring

  • Tang Ren-ji
  • Zhen Ji-qing


In this paper, by using N. I. Muskhelishvili's method a multi-valued displacement problem is considered for an eccentric circular ring. The general expression of stress function is derived in the bipolar coordinate system and its application is explained.


Stress Function Urent Series Circular Ring Closing Problem Closing Condition 
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  1. (1).
    Jeffrey, G. B., Jeffrey, D.Sc., Jeffrey, M.A., Plane stress and plane strain in bipolar coordinates, Phil. Trans. Roy. Soc., London, A, 221, (1921), 265–293.Google Scholar
  2. (2).
    Mushkelishvili, N. I., Some Basic Problems of the Mathematical Theory of Elasticaty (1954).Google Scholar
  3. (3).
    Tang Ren-ji and Wang Kai, On the Griffith Crack Whose Surfaces Are Loaded Asymmetrically, Acta Mechanica Sinica Vol. 3, (1980), 269–278. (in Chinese)Google Scholar

Copyright information

© Techmodern Business Promotion 1983

Authors and Affiliations

  • Tang Ren-ji
    • 1
  • Zhen Ji-qing
    • 1
  1. 1.Lanzhou UniversityLanzhouChina

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