期刊名称：IOP Conference Series: Earth and Environmental Science
印刷版ISSN：1755-1307
电子版ISSN：1755-1315
出版年度：2018
卷号：189
期号：5
页码：052056
DOI：10.1088/1755-1315/189/5/052056
语种：English
出版社：IOP Publishing
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.
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