假设位移拟协调平面单元应变离散算法研究

发布时间：2018-05-20 09:40

本文选题：有限元 + 拟协调元　；参考：《工程力学》2016年09期

【摘要】：应变-位移方程的弱化和离散是拟协调有限元列式中的一个基本问题,也是假设应变有限元方法的一个重要问题。该文通过研究拟协调有限元中的平面单元列式,考察了不同应变离散算法下单元的性能。通过理论分析和数值实验,证明了对同一个应变项的计算可以选择不同的应变-位移式进行计算,应变-位移式的选择并不影响所构造单元的收敛性。该文结果解决了拟协调有限元的一个基础问题,可以指导拟协调有限元的列式,也为一般的弹性力学数值分析中应变-位移方程的处理提供依据。
[Abstract]:The weakening and discretization of the strain-displacement equation is a basic problem in the quasi-conforming finite element formulation and an important problem in the hypothetical strain finite element method. In this paper, by studying the plane element formulations in quasi conforming finite element, the performance of the element under different strain discretization algorithms is investigated. Through theoretical analysis and numerical experiments, it is proved that different strain-displacement formulas can be selected for the calculation of the same strain term, and the choice of strain-displacement formula does not affect the convergence of the constructed elements. In this paper, a basic problem of quasi-conforming finite element is solved, which can guide the formulation of quasi-conforming finite element and provide the basis for the treatment of strain-displacement equation in general numerical analysis of elastic mechanics.
【作者单位】：大连理工大学工业装备结构分析国家重点实验室运载工程与力学学部汽车工程学院;
【分类号】：O343.1;;O241.82

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