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多组载荷作用下结构的极限分析
引用本文:张远高,张丕辛,陆明万.多组载荷作用下结构的极限分析[J].清华大学学报(自然科学版),1993(5).
作者姓名:张远高  张丕辛  陆明万
作者单位:工程力学系 (张远高,张丕辛),工程力学系(陆明万)
摘    要:研究多组载荷作用下刚塑性体极限分析上限格式的数值计算方法。通过采用有限元离散技术和 Mises屈服条件,引入了一种直接迭代的算法,它将产生一个单调递减的载荷因子序列,该序列收敛于真实极限载荷因子的上限,同时也得到相应的机动场。算例分析表明了该算法的稳定性和高效率。

关 键 词:塑性力学  极限分析  有限元方法

Limit analysis of structures under multi--loading systems
Zhang Yuangao,Zhang Pixin,Lu Mingwan.Limit analysis of structures under multi--loading systems[J].Journal of Tsinghua University(Science and Technology),1993(5).
Authors:Zhang Yuangao  Zhang Pixin  Lu Mingwan
Institution:Zhang Yuangao,Zhang Pixin,Lu Mingwan Department of Engineering Mechanics
Abstract:This paper deals with the computational limit analysis of rigid--plastic bodies under multi--loading systems. Based on the classical kinematic theorem of plasticity theory and the von Mises yielding condition, a finite element formulation for upper bound analysis is proposed and solved by an iteration algorithm directly. This algorithm produces a monotonically decreasing sequence of load multipliers which converges to an upper bound of the real limit load multiplier. Some numerical examples of plate and shell problems are presented.
Keywords:plasticity  limit analysis  finite element method
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