A Simplified Over-Stress Analytical Model of the Dynamic Buckling of a Perfectly Plastic Column under Axial Impact

Jie Min

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Jie Min. A Simplified Over-Stress Analytical Model of the Dynamic Buckling of a Perfectly Plastic Column under Axial Impact[J]. Applied Mathematics and Mechanics, 1995, 16(6): 569-572.

Citation:

Jie Min. A Simplified Over-Stress Analytical Model of the Dynamic Buckling of a Perfectly Plastic Column under Axial Impact[J]. Applied Mathematics and Mechanics, 1995, 16(6): 569-572.

Citation:

Jie Min. A Simplified Over-Stress Analytical Model of the Dynamic Buckling of a Perfectly Plastic Column under Axial Impact[J]. Applied Mathematics and Mechanics, 1995, 16(6): 569-572.

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A Simplified Over-Stress Analytical Model of the Dynamic Buckling of a Perfectly Plastic Column under Axial Impact

Jie Min

Department of Mechanics Huazhong University of Science and Technology, Wuhan 430074, P. R. China

Received Date: 1994-08-10
Publish Date: 1995-06-15

Abstract

Abstract

This paper introduces the strain-rate effects in the analysis of dynamic buckling of a perfectly plastic cohoumn.The corresponding differential equation of dynamics is deduced.The expressions of half-wave length of buckling mode.critical load and time of buckling are obtained.Discussion on the strain-rate effect on the plastic dynamic buckling of a column is presented.The results of this paper are compared with those of the theory and experiment in[4].
- strain rate effect,
- perfectly plastic,
- column dynamic buckling,

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References(4)

References

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[2]	王仁,冲击载荷下结构塑性稳定性的研究,《冲击动力学进展》,中国科技大学出版社(1992).
[3]	L.E.Malvern,Plastic wave propagation in a bar as material exhibiting a strain-rateeffect,Q.Appl.Math.,8(1951),405.,The propagation of longitudinal waves of plastic deformation in a bar of materialexhibiting a strain-rate effect,J.Appl.Mech.,June(1951),203-208.
[4]	R.Abrahamson and J.N.Goodier,Dynamic flexural buckling of rods within an axialplastic compression wave,J.Appl.Mech.,33(1966),241-247.