## 留言板

 引用本文: 程尧舜, 卢文达, 方红. 实心矩形截面杆的初始塑性后屈曲*[J]. 应用数学和力学, 1995, 16(8): 669-676.
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

• 摘要: 文中用一种新的方法分析了简支受压矩形截面杆的塑性初始后屈曲问题,求出了后屈曲摄动展开式中的高阶项。所用的方法在某些方面类似于Hutchinson的方法,但是由于避免了一般奇异摄动中所必需的坐标伸长,因此大大简化了分析过程。从整个求解过程可以看出,本文所提出的方法可用于分析一般板壳结构的塑性初始后屈曲问题。
•  [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.
##### 计量
• 文章访问数:  1840
• HTML全文浏览量:  89
• PDF下载量:  509
• 被引次数: 0
##### 出版历程
• 收稿日期:  1994-12-01
• 刊出日期:  1995-08-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈