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各向异性强化时薄板的塑性分析

金永杰

金永杰. 各向异性强化时薄板的塑性分析[J]. 应用数学和力学, 1986, 7(3): 225-234.
引用本文: 金永杰. 各向异性强化时薄板的塑性分析[J]. 应用数学和力学, 1986, 7(3): 225-234.
Jing Yong-jie. Plastic Analysis of Thin Plates with Anisotropic Hardening[J]. Applied Mathematics and Mechanics, 1986, 7(3): 225-234.
Citation: Jing Yong-jie. Plastic Analysis of Thin Plates with Anisotropic Hardening[J]. Applied Mathematics and Mechanics, 1986, 7(3): 225-234.

各向异性强化时薄板的塑性分析

Plastic Analysis of Thin Plates with Anisotropic Hardening

  • 摘要: 本文讨论了当薄板受到反复加载时由于存在鲍兴(Bauschinger)效应必须运用各向异性强化模型。文中导出了在线性随动强化时如何用广义力及广义塑性变形来表示薄板的加载条件,并讨论了可推广应用于非线性随动强化及混合强化(Mixed Hardening)情况。最后还以圆板为例进行了数值计算给出了计算结果。
  • [1] Shield, R, T, and H, Ziegler, On Prager's hardening rule, J.Appl.Math, Phys,(ZAMP).9a, 3 (1958).260-276.
    [2] Ziegler, H,A Modification of Prager's hardening rules, Quarterly Appl, Math.,17(1959), 55-65.
    [3] Mroz,Z,On the description of anisotropic work-hardening, I, Mech, Phys, Solids, 15(1967), 163-175.
    [4] Axelsson, K, and A, Samuelsson, rinite element analysis of elasto-Plastic materials displaying mixed hardening, Intel, J.Num, Meth, Engng, 14 (1979),211-225.
    [5] Lamba, H, S, and O, M, Sidebottom, Cyclic plasticity for nonproportional paths; Part 2-comparison with prediction of three incremental plasticity models, J.Lngny Mat.Tech, (Trans, ASME) 100, Jan, (1978),104-111.
    [6] Zenner, H,On life prediction in low cyclic-fatigue, Proceedings of the International Symposium on low-Cycle Faligue Strength,and Elasto-Plasiie Behaaiour of Materials, (1979).
    [7] Kachanov, L, M,Foundation of the Theory of Plaslicity (1971).
    [8] Hwang, Chintsun, Incremential Stress-strain law applied to work-hardening plastic materials, I.Appl, Mech.,(Trans, ASMIJ)Dec, (1959),594-598.
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出版历程
  • 收稿日期:  1985-02-10
  • 刊出日期:  1986-03-15

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