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矩形板屈曲和后屈曲弹塑性分析

沈惠申

沈惠申. 矩形板屈曲和后屈曲弹塑性分析[J]. 应用数学和力学, 1990, 11(10): 871-879.
引用本文: 沈惠申. 矩形板屈曲和后屈曲弹塑性分析[J]. 应用数学和力学, 1990, 11(10): 871-879.
Shen Hui-shen. Elasto-Plastic Analysis for the Buckling and Postbuckling of Rectangular Plates under Uniaxial Compression[J]. Applied Mathematics and Mechanics, 1990, 11(10): 871-879.
Citation: Shen Hui-shen. Elasto-Plastic Analysis for the Buckling and Postbuckling of Rectangular Plates under Uniaxial Compression[J]. Applied Mathematics and Mechanics, 1990, 11(10): 871-879.

矩形板屈曲和后屈曲弹塑性分析

Elasto-Plastic Analysis for the Buckling and Postbuckling of Rectangular Plates under Uniaxial Compression

  • 摘要: 本文以摄动法给出了矩形板屈曲和后屈曲全过程的弹塑性分析. 本文同时讨论了初始几何缺陷对矩形板后屈曲性态的影响.计算结果表明,矩形板非弹性屈曲对初始缺陷是敏感的.计算结果与实验结果的比较表明二者相当一致.
  • [1] Neale,K.W.,Effect of imperfections on the plastic buckling of rectangular plates,J.Appl.Mech.,42(1975),115-120.
    [2] Needleman,A.,An analysis of the imperfection sensitivity of square elastic-plastic plates under axial compression.Int.J.Solids Structures,12(1976),185-201.
    [3] 沈惠申、张建武,单向压缩简支矩形板后屈曲摄动分析,应用数学和力学,9,8(1988),741-762.
    [4] 沈惠申,正交异性矩形板后屈曲摄动分析,应用数学和力学,10,4(1989),359-370
    [5] Rectliffe,A.T.,The strength of plates in compression,Cantab Ph.D.Thesis(1968).
    [6] Moxham,K.E.,Compression in welded web plates.Ph.D.Thesis,University of Cambridge(1970).
    [7] Frieze,P.A.,Ultimate load behaviour of steel box-girder bridges and their components,Ph.D.Thesis,University of London(1975).
    [8] Crisfield,M.A.,Full-range analysis of steel plates and stiffened plating under uniaxial compression,Proc.Instn.Civ.Engrs.,Part 2,59(1975),595-624.
    [9] Harding,J.E.,R.E.Hobbs and B.G.Neal,The elasto-plastic analysis of imperfect square plates under in-plane loading,Proc.Instn.Civ.Engrs.,Part 2,63(1977),137-158.
    [10] Little,G.H.The collapse of rectangular steel plates under uniaxial compression,Structural Engr.,58B(1980),45-61.
    [11] Gradzhi,R.and K.Kowal-Michalska,Collapse behaviour of plates,Thin-Walled Structures,6(1988),1-17.
    [12] Korol,R.M.and A.N.Sherbourne,Strength predictions of plates in uniaxial compression,Proc.ASCE,98. ST9(1972),1965-1986.
    [13] Davies,P.,K.O.Kemp and A.C.Walker,An analysis of the failure mechanism of an axially loaded simply supported steel plate,Proc.Instn.Civ.Engrs.,Part 2,59(1975),645-658.
    [14] Vol‘mir,A.S.,Stability of Elastic System,Moskwa(1963),(in Russian)
    [15] Sherbourne,A.N.and R.M.Korol,Postbuckling of axially compressed plates,Proc.ASCE,98,ST10(1972),2223-2234.
    [16] Moxham,K.E.,Buckling tests on individual welded steel plates in compression,Cambridge University Report No.CUED/C-Struct/TR 3(1971).
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出版历程
  • 收稿日期:  1989-03-29
  • 刊出日期:  1990-10-15

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