| 十字型截面杆塑性屈曲的精确解 |
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| 引用本文： | 程尧舜 卢文达. 十字型截面杆塑性屈曲的精确解[J]. 同济大学学报(自然科学版), 1994, 22(1): 77-82 |
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| 作者姓名： | 程尧舜 卢文达 |
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| 作者单位： | 同济大学建工系，同济大学工程力学系，上海工业大学计算机系 |
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| 摘 要： | 对初始各向同性且率无关的材料，用Ｊ２流动理论求得了十字型截面杆扭转屈曲的三维解析精确解，比较精确解和用板理论得到的近似解，证明了用板理论求解板的塑性屈曲问题是足够精确的，由此证明了塑性屈曲佯谬并不是板理论的误差所引起的。
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| 关 键 词： | 塑性 十字型截面杆 屈曲载荷 |
Exact Analytical Solutions of the Inelastic Buckling of a Cruciform Column |
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| Cheng Yaoshun, Lu Wenda. Exact Analytical Solutions of the Inelastic Buckling of a Cruciform Column[J]. Journal of Tongji University(Natural Science), 1994, 22(1): 77-82 |
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| Authors: | Cheng Yaoshun Lu Wenda |
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| Abstract: | The exact critical compressive stresses are obtained with the threedimensional theory for twisting bifurcation of a cruel form column, of which the material with a smooth yield surface and obeying the normality flow rule is initially isotropic and time-independent. It is shown that the critical stresses obtained with plate theories are accurate in comparison with the exact ones,so the plastic buckling paradox is not resulted from the error of plate theories. |
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| Keywords: | Plastic buckling Cruel form column Exact solution |
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