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本文采用变分原理及离散塑性流动定律假设研究了弹塑性有限元的新方法—塑性节点法及其所表示的物理意义。结果表明:该方法的物理实质是所述的塑性流动定理的离散。在一般意义下,本文对其进行了修正,典型板壳例题和复杂壳体结构的弹塑性有限元分析显示,计算结果与文献资料和实验数据符合较好。证明用文中方法进行壳体结构的弹塑性分析是行之有效的和可靠的。
In this paper, the variational principle and the discrete plastic flow law hypothesis are used to study the new method of elastic-plastic finite element-plastic nodal method and its physical meaning. The results show that the physical essence of the method is the dispersion of the plastic flow theorem. In the general sense, this paper corrects it. The elasto-plastic finite element analysis of typical shell case examples and complex shell structures shows that the calculated results are in good agreement with the literature data and experimental data. It is proved that the elasto-plastic analysis of the shell structure is effective and reliable.