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

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

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

姜稚清

The Engineering College of the Railuay Units of the P.L.A., Shijiazhuang

收稿日期:1981-12-24 出版日期:1983-07-18 发布日期:1983-07-18
通讯作者: Ouyang Chang

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

Jiang Zhi-qing

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

摘要/Abstract

摘要： 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.

关键词: sand ripple, loss of stability of laminar flow, coherent structure, forced oscillation of sand grains

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

姜稚清. EFFECT OF INITIAL IMPERFECTIONS IN GEOMETRY ON THE ELASTICPLASTIC STABILITY OF A THIN ANNULAR PLATE[J]. Applied Mathematics and Mechanics (English Edition), 1983, 4(4): 559-570.

Jiang Zhi-qing. EFFECT OF INITIAL IMPERFECTIONS IN GEOMETRY ON THE ELASTICPLASTIC STABILITY OF A THIN ANNULAR PLATE[J]. Applied Mathematics and Mechanics (English Edition), 1983, 4(4): 559-570.

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

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

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