倒塌的决心 elasto 塑料的材料的带负担的能力在设计结构是很重要的。这个问题被 elasto 塑料的有限元素方法通常解决(女性) 。以便处理材料有效地弄软问题的非线性的问题包含紧张,一个新数字抑制方法的牛顿方法被建议。反复的计划为纯平衡模型详细被讨论。在平衡模型,粘性标准和种类的相容性被验证,并且种类增长和塑料因素被当作独立 unknowns。避免僵硬矩阵是病了的矩阵的奇特或状况,一个抑制因素被介绍在重复期间自动地调整塑料一致参数的值。根据算法,非线性的有限元素节目被应允,它的数字例子是计算的。数字结果显示这个方法为两小负担步和大负担步很快收敛。与分析和实验获得的那些结果相比,从建议方法的预言的最终的适用的能力是相同的。
Determination of collapse load-carrying capacity of elasto-plastic material is very important in designing structure. The problem is commonly solved by elasto-plastic finite element method (FEM). In order to deal with material nonlinear problem involving strain softening problem effectively, a new numerical method-damped Newton method was proposed. The iterative schemes are discussed in detail for pure equilibrium models. In the equilibrium model, the plasticity criterion and the compatibility of the strains are verified, and the strain increment and plastic factor are treated as independent unknowns. To avoid the stiffness matrix being singularity or condition of matrix being ill, a damping factor a was introduced to adjust the value of plastic consistent parameter automatically during the iterations. According to the algorithm, the nonlinear finite element program was complied and its numerical example was calculated. The numerical results indicate that this method converges very fast for both small load steps and large load steps. Compared with those results obtained by analysis and experiment, the predicted ultimate bearing capacity from the proposed method is identical.