Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (8): 713-722.

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PLASTIC POST-BUCKLING OF A SIMPLY SUPPORTED COLUMNWITH A SOLID RECTANGULAR CROSS-SECTION

Cheng Yaoshun1, Lu Wenda2, Fang Hong2   

  1. 1. College of Structural Engineering, Tongyi University., Shanghai, 200092, P. R. China;
    2. Department of Mechanical Engineering, East China University of Technology., Shanghai, 200093, P. R. China
  • Received:1994-12-01 Online:1995-08-18 Published:1995-08-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

Abstract: The plastic post-buckling of a simply supported column with a solid rectangularcross-section is analysed by a new approach. High order terms in the asymptotic post-buckling expansions are carried out. In some aspects, the method proposed in thispaper is similar io Hutchinson’s. However, the computation is simple since theintroduction is avoided of stretched coordinates. The method can be used to analyseinitial post-bifurcation of plates and shells in the plastic range.

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