Shifted integration technique in one‐dimensional plastic collapse analysis using linear and cubic finite elements
Shifted integration technique in one‐dimensional plastic collapse analysis using linear and cubic finite elements
复制标题
使用线性和三次有限元的一维塑性塌陷分析中的移位积分技术
DOI：
10.1002/nme.1620310807
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发表时间：
1991
影响因子：
2.9
通讯作者：
Y. Toi
中科院分区：
文献类型：
--
作者：
Y. Toi
本文通过将线性有限元和三次有限元的应变能近似与刚体-弹簧模型的应变能近似进行比较，探讨了梁和轴对称壳的线性有限元和三次有限元的物理解释。刚体-弹簧模型是适用于塑性崩溃分析的离散单元，采用塑性铰和铰线的概念。数值积分点的位置与塑性铰的位置之间的关系是两种模型之间等效的条件，这可以方便地用于框架结构和轴对称壳的经济塑性破坏分析，其中塑性铰的位置由数值积分点的运动控制。为了从数值上证明所得到的关系，并验证所提出的数值积分点移位技术的有效性，本文将其称为“移位积分技术”。
The present study is concerned with the physical explanations of the linear and the cubic finite elements for beams and axisymmetric shells through comparisons of their strain energy approximations with those of the Rigid Bodies-Spring Models which are discrete elements suitable for plastic collapse analysis using the concepts of plastic hinges and hinge lines. The established conditions for the equivalence between these two modellings, which are given as the relations between the locations of the numerical integration points and those of the occurrence of plastic hinges, can be conveniently used in the economical plastic collapse analysis of framed structures and axisymmetric shells where the locations of plastic hinge formations are controlled by the movement of numerical integration points. Some numerical results are shown in order to prove numerically the obtained relations and to verify the validity of the proposed shifting technique of numerical integration points, which is identified as ‘the shifted integration technique’ in the present paper.