Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (4): 559-570.

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EFFECT OF INITIAL IMPERFECTIONS IN GEOMETRY ON THE ELASTICPLASTIC STABILITY OF A THIN ANNULAR PLATE

Jiang Zhi-qing   

  1. The Engineering College of the Railuay Units of the P.L.A., Shijiazhuang
  • Received:1981-12-24 Online:1983-07-18 Published:1983-07-18

Abstract: In this paper, Neale’s generalized variational principle about incremental boundary-value problems is utilized to study the effect of initial imperfections in geometry on the critical loads of elastic-plastic buckling of thin annular plates. The calculations show that, if the effect of initial imperfections in geometry is taken into account in the solutions by J2 incremental theory, the results are very close to the bifurca-tional buckling loads of the perfect annular plates according to the plastic deformation theory.

Key words: sand ripple, loss of stability of laminar flow, coherent structure, forced oscillation of sand grains

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