The bifurcation problem of columns caused by elastic-plastic stress wave propagation

Han Qiang; Hu Haiyan; Yang Guitong

doi:10.1007/BF02464932

The bifurcation problem of columns caused by elastic-plastic stress wave propagation

Han Qiang^*, Hu Haiyan, Yang Guitong

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, the dynamic buckling of an elastic-plastic column is studied. Let its dynamic buckling under step load be reduced to a bifurcation problem caused by the propagation of axial elastic-plastic stress wave. The critical buckling condition is given and the reflection of the elastic-plastic stress wave is taken into consideration. In the end, numerical computation and conclusions are presented and obtained.

Original language	English
Pages (from-to)	604-614
Number of pages	11
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	20
Issue number	6
DOIs	https://doi.org/10.1007/BF02464932
Publication status	Published - 1999
Externally published	Yes

Keywords

Bifurcation
Dynamic buckling
Stress wave

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10.1007/BF02464932

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title = "The bifurcation problem of columns caused by elastic-plastic stress wave propagation",

abstract = "In this paper, the dynamic buckling of an elastic-plastic column is studied. Let its dynamic buckling under step load be reduced to a bifurcation problem caused by the propagation of axial elastic-plastic stress wave. The critical buckling condition is given and the reflection of the elastic-plastic stress wave is taken into consideration. In the end, numerical computation and conclusions are presented and obtained.",

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author = "Han Qiang and Hu Haiyan and Yang Guitong",

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AU - Qiang, Han

AU - Haiyan, Hu

AU - Guitong, Yang

PY - 1999

Y1 - 1999

N2 - In this paper, the dynamic buckling of an elastic-plastic column is studied. Let its dynamic buckling under step load be reduced to a bifurcation problem caused by the propagation of axial elastic-plastic stress wave. The critical buckling condition is given and the reflection of the elastic-plastic stress wave is taken into consideration. In the end, numerical computation and conclusions are presented and obtained.

AB - In this paper, the dynamic buckling of an elastic-plastic column is studied. Let its dynamic buckling under step load be reduced to a bifurcation problem caused by the propagation of axial elastic-plastic stress wave. The critical buckling condition is given and the reflection of the elastic-plastic stress wave is taken into consideration. In the end, numerical computation and conclusions are presented and obtained.

KW - Bifurcation

KW - Dynamic buckling

KW - Stress wave

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U2 - 10.1007/BF02464932

DO - 10.1007/BF02464932

M3 - Article

AN - SCOPUS:0033140530

SN - 0253-4827

VL - 20

SP - 604

EP - 614

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 6

ER -

The bifurcation problem of columns caused by elastic-plastic stress wave propagation

Abstract

Keywords

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