Peng Xianghe, Chen Yuanqiang, Zeng Xiangguo. Endochronic Analysis for Compressive Buckling of Thin- Walled Cylinders in Yield Reglon[J]. Applied Mathematics and Mechanics, 1995, 16(8): 745-755.
Citation: Peng Xianghe, Chen Yuanqiang, Zeng Xiangguo. Endochronic Analysis for Compressive Buckling of Thin- Walled Cylinders in Yield Reglon[J]. Applied Mathematics and Mechanics, 1995, 16(8): 745-755.

Endochronic Analysis for Compressive Buckling of Thin- Walled Cylinders in Yield Reglon

  • Received Date: 1994-07-11
  • Publish Date: 1995-08-15
  • The longitudinal compressive buckling of long and thin-walled cylinders in yield region is analyzed with the incremental and finite forms of the endochronic constitutive equation, respectively. The relations between the critical stress σcrversus the ratio of R (the radius) versus h (the thickness of the wall) are derived. The critical stress of the thin-walled cylinders made of abuminum alloys AMГ and Д1T are analyzed and compared with the experimental data and the analytical results based on traditional theory of plasticity. It is seen that. except that the σcr of the cylinders made of Д1T predicted by the finite form of the endochronic theory seems a little more conservative than that by traditional deformation theory of plasticity, in most cases, both forms of the endochornic constitutive equation provide more satisfactory results.
  • loading
  • [1]
    Z. Mroz, An attempt to describe the behavior of metals under cyclic loads using more general work hardening model, Acta Mechanics, 7 (1967), 199-212.
    [2]
    Y. F. Dafalias and E. P. Popov, Plastic internal variables ormalism of cyclic plasticity, J. Appl. Meclt., 43(1976), 645-651.
    [3]
    J. L. Chaboche, et al., Modelization of strain effect on the cyclic hardening of 316 stainless steel, Trans. Int. Conf. Struct. Mech. in Reactor Tech., Paper No. L11/3, V. L. Berlin(1979).
    [4]
    K. C. Valanis, A theory of viscoplasticity without a yield surface, Arclr. Mech., 23(1971),517-551.
    [5]
    K. C. Valanis, Fundamental consequences on new intrinsic time measure as a limit of the endochronic theory, Arch. Mech., 32(1980), 171-190.
    [6]
    O. Watanabe and S. N. Atlurr, Internal time, general internal variable, and multi-yield-surface theories of plasticity and creep: A unification of concept, Int. J. Plasticity. 2(1986), 37-52.
    [7]
    沈立、韩铭宝.圆柱壳受轴向压缩塑性稳定性h1实验研究,固体力学学报,(1) (1982), 85-91
    [8]
    X. Peng and A. R. S. Ponter, Extremal properties of endochronic plasticity, Part 1: Extremal path of the constitutive equation without a yield surface, lnt. J. Plasticim, 9 (1933), 551-566.
    [9]
    中科院力学研究所固体力学室板壳组,《加筋圆柱曲板与圆柱壳》,科学出版社(1983), 317-348
    [10]
    G. Gerard, Compressive and Torsional Buckling of Thin-WaIlCylinders in Yield Region, Tech. Note 3726, NACA (1956).
    [11]
    X. Peng and J. Fan, A numerical approach for nonclassical plasticity, Computers acrd Structures, 47(1993), 313-320.
  • 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 (1949) PDF downloads(575) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return