Han Qiang, Hu Haiyan, Yang Guitong. The Bifurcation Problem of Columns Caused by Elastic-Plastic Stress Wave Propagation[J]. Applied Mathematics and Mechanics, 1999, 20(6): 569-578.
Citation:
Han Qiang, Hu Haiyan, Yang Guitong. The Bifurcation Problem of Columns Caused by Elastic-Plastic Stress Wave Propagation[J]. Applied Mathematics and Mechanics, 1999, 20(6): 569-578.
Han Qiang, Hu Haiyan, Yang Guitong. The Bifurcation Problem of Columns Caused by Elastic-Plastic Stress Wave Propagation[J]. Applied Mathematics and Mechanics, 1999, 20(6): 569-578.
Citation:
Han Qiang, Hu Haiyan, Yang Guitong. The Bifurcation Problem of Columns Caused by Elastic-Plastic Stress Wave Propagation[J]. Applied Mathematics and Mechanics, 1999, 20(6): 569-578.
In this paper, the dynamic buckling of an elstic-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.