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Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (3): 271-282.

• 论文 • 上一篇    下一篇

PROBLEM ON CIRCULAR-ARC CRACKS BETWEEN BONDED DISSIMILAR MATERIALS UNDER CONCENTRATED FORCE AND MOMENT

刘又文1, 蒋持平2   

  1. 1. Department of Mathematics and Physics, Central-South University of Technology, Changsha;
    2. Hunan University, Changsha
  • 收稿日期:1985-11-03 出版日期:1987-03-18 发布日期:1987-03-18

PROBLEM ON CIRCULAR-ARC CRACKS BETWEEN BONDED DISSIMILAR MATERIALS UNDER CONCENTRATED FORCE AND MOMENT

Liu You-wen1, Jiang Chi-ping2   

  1. 1. Department of Mathematics and Physics, Central-South University of Technology, Changsha;
    2. Hunan University, Changsha
  • Received:1985-11-03 Online:1987-03-18 Published:1987-03-18

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摘要： The method is very efficient by applying extended Schwarz principle integrated with the analysis of the singularity of complex stress functions to solve some plane-elastic problems under concentrated loads, in Ref.[1], this method is used to deal with the elastic problems of homogeneous plane. In this paper, it is extended to the case of dissimilar materials with co-circular cracks under concentrated force and moment. For several typical cases the solutions of complex stress function in closed form are built up and the stress intensity factors are given. From these solutions, we provide a series of particular results, in which two of them coincide with those in Refs. [1] and [6].

关键词: shallow arch, internal resonance, steady state motion, bifurcation, chaos

Abstract: The method is very efficient by applying extended Schwarz principle integrated with the analysis of the singularity of complex stress functions to solve some plane-elastic problems under concentrated loads, in Ref.[1], this method is used to deal with the elastic problems of homogeneous plane. In this paper, it is extended to the case of dissimilar materials with co-circular cracks under concentrated force and moment. For several typical cases the solutions of complex stress function in closed form are built up and the stress intensity factors are given. From these solutions, we provide a series of particular results, in which two of them coincide with those in Refs. [1] and [6].

Key words: shallow arch, internal resonance, steady state motion, bifurcation, chaos

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