受轴向压缩圆柱壳塑性屈曲的内时分析

彭向和; 陈元强; 曾祥国

受轴向压缩圆柱壳塑性屈曲的内时分析

重庆大学工程力学系 630044

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出版历程
- 收稿日期: 1994-07-11
- 刊出日期: 1995-08-15

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

Chongqing University, Chongqing 630044, P. R. China

摘要

摘要: 采用内时塑性本构方程的增量和全量表达式分析了受轴向压缩圆柱壳的塑性屈曲,得到了塑性屈曲临界应力σ_cr与圆柱壳特征尺寸R/h间的关系。对АМг和д1Т铝合金圆柱壳塑性屈曲进行了分析,与实验结果的比较表明：除对于АМг圆柱壳由内时塑性本构方程的全量表达式给出了较经典塑性理论全量分析略为保守的结果外,在其它杨合下,内时分析均给出了较经典塑性理论更符合实验数据的结果。
- 塑性屈曲 /
- 圆柱壳 /
- 内时
Abstract: 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 σ_crversus 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 σ_cr 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.
- cylindrical shell /
- compressive buckling /
- endochronic analysis

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参考文献(11)

[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.