The Application of Inverse Transformation in the Isoparametric Singular Element

2018 International Conference on Civil and Hydraulic Engineering

土木建筑工程;水利工程

Cai, Hualong^1,2 ; Yao, Yong^1 ; Cai, Jingwen^1

College of Civil Engineering, Jiaying University, Meizhou

514015, China^1

Wuhan University of Water Resources, Hydropower Project Science and State Key Laboratory, Wuhan

430072, China^2

关键词: Calculation results;    Computational accuracy;    Inverse transformations;    Iso-parametric;    Isoparametric element;    Singular elements;    Unit form;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/189/5/052056/pdf
DOI  :  10.1088/1755-1315/189/5/052056

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

The isoparametric element is a sort of common element which is widely used in the finite element complex calculations, and the inverse transformation of which is also used in the field of engineering, and it has the advantages such as the high iteration speed and the high computational accuracy. But when the unit form is complicated or the nodes coincide, the Jacobian Matrix will be close to 0 and singular phenomenon will exist, and also in this case the finite element calculations may be adversely affected. This article verifies the singular phenomenon of the 5-nodes and 6-nodes degraded unit when the nodes coincide, and discusses the calculation results and its accuracy of the method of inverse transformation when it comes to singular model. According to the programming calculation, the experiment result shows that the method can meet the requirements in the field of actual project, and it has a good adaptability in the calculation of engineering.