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

Cheng Yaoshun; Lu Wenda; Fang Hong

Volume 16 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(8): 669-676

ZENG Liu-chuan. Existence and Algorithm of Solutions for General Multivalued Mixed Implicit Quasi-Variational Inequalities[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1170-1178.

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.

ZENG Liu-chuan. Existence and Algorithm of Solutions for General Multivalued Mixed Implicit Quasi-Variational Inequalities[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1170-1178.

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.

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

1.
College of Struciural Engineering, Tongji Universtiy, Shanghai 200092, P. R. China;
2.
Department of Mechanical Engineering, East China University of Technology, Shanghai 200093, P. R. China

Received Date: 1994-12-01
Publish Date: 1995-08-15

Abstract

Abstract

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.
- plastic post-buckling,
- perturbation,
- columns of rectangular cross section

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References(9)

References

[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.

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