Cheng Yaoshun, Lu Wenda, Fang Hong. Plastic PostBucking of a Simply Supported Column with a Solid Rectangular Cross Section[J]. Applied Mathematics and Mechanics, 1995, 16(8): 669-676.
Citation: Cheng Yaoshun, Lu Wenda, Fang Hong. Plastic PostBucking of a Simply Supported Column with a Solid Rectangular Cross Section[J]. Applied Mathematics and Mechanics, 1995, 16(8): 669-676.

Plastic PostBucking of a Simply Supported Column with a Solid Rectangular Cross Section

  • Received Date: 1994-12-01
  • Publish Date: 1995-08-15
  • The plastic post-buckling of a simply supported column with a solid rectangular cross 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 this paper is similar io Hutchinson's. However, the computation is simple since the introduction is avoided of stretched coordinates. The method can be used to analyse initial post-bifurcation of plates and shells in the plastic range.
  • loading
  • [1]
    S. Akel, Q. S. Nguyen and C. Stolz, Instabilite's Plastiques, Seminaire CEA/EDF/INRIA. Paris (1985).
    [2]
    R. Hill, A general theory of uniqueness and stability in elastic/plastic solids, J.Meth. Phys. Solids,7(1958), 209-225.
    [3]
    J. W. Hutchinson, Post-bifurcation behaviour in plastic range, J. Mech. Phys. Solids, 21 (1973), 163-190.
    [4]
    J. W. Hutchinson, Plastic buckling, Adrarrces in Appl. Mech., 14(1974), 67-144.
    [5]
    Q. S. Nguyen, Bifurcation and post-bifurcation analysis in plasticity and brittle fracture, J. Mech. Phys. Solids, 35(1987), 303-324.
    [6]
    Q. S. Nguyen and N. Triantafyllidis, Plastic bifurcation and post-bifurcation analysis for generalized standard continua, J. Mech. Phrs. Solids, 37(1989), 545-566.
    [7]
    F. R. Shanley, Inelastic column theory, J. Aero. Sci., 14(1947), 261-267.
    [8]
    苏旭明,塑性后屈曲理论及缺陷敏感分析,上海工业大学博士论文(1998)
    [9]
    X. M. Su and W. D. Lu, Postbuckling and imperfection sensitivity analysis of structures in the plastic range Part II: Shallow shell analysis, Thin-Walled Struct, 11(1991),203-217.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1886) PDF downloads(509) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return