A 17-node quadrilateral spline finite element using the triangular area coordinates

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	A 17-node quadrilateral spline finite element using the triangular area coordinates
其他题名	A 17-node quadrilateral spline finite element using the triangular area coordinates
	Chen Juan 1; Li Chongjun 1; Chen Wanji 1
	2010
发表期刊	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN	0253-4827
卷号	31 期号:1 页码:125-134
摘要	Isoparametric quadrilateral elements are widely used in the finite element method. However, they have a disadvantage of accuracy loss when elements are distorted. Spline functions have properties of simpleness and conformality. A 17-node quadrilateral element has been developed using the bivariate quartic spline interpolation basis and the triangular area coordinates, which can exactly model the quartic displacement fields. Some appropriate examples are employed to illustrate that the element possesses high precision and is insensitive to mesh distortions.
其他摘要	Isoparametric quadrilateral elements are widely used in the finite element method. However, they have a disadvantage of accuracy loss when elements are distorted. Spline functions have properties of simpleness and conformality. A 17-node quadrilateral element has been developed using the bivariate quartic spline interpolation basis and the triangular area coordinates, which can exactly model the quartic displacement fields. Some appropriate examples are employed to illustrate that the element possesses high precision and is insensitive to mesh distortions.
关键词	FAMILY 17-node quadrilateral element bivariate spline interpolation basis triangular area coordinates B-net method fourth-order completeness
收录类别	CSCD
语种	英语
资助项目	[Natural Science Foundation of China China] ; [Science Foundation of Dalian University of Technology]
CSCD记录号	CSCD:3813404
引用统计
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/151035
专题	中国科学院金属研究所
作者单位	1.大连大学 2.中国科学院金属研究所
推荐引用方式 GB/T 7714	Chen Juan,Li Chongjun,Chen Wanji. A 17-node quadrilateral spline finite element using the triangular area coordinates[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2010,31(1):125-134.
APA	Chen Juan,Li Chongjun,&Chen Wanji.(2010).A 17-node quadrilateral spline finite element using the triangular area coordinates.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,31(1),125-134.
MLA	Chen Juan,et al."A 17-node quadrilateral spline finite element using the triangular area coordinates".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 31.1(2010):125-134.