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

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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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Foundation item: the National Natural Science Foundation of China (19672038)

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Qiang, H., Haiyan, H. & Guitong, Y. The bifurcation problem of columns caused by elastic-plastic stress wave propagation. Appl Math Mech 20, 604–614 (1999). https://doi.org/10.1007/BF02464932

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  • DOI: https://doi.org/10.1007/BF02464932

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