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

被引：9

作者：

Chen, Juan ^{[1
]}

Li, Chong-jun ^{[1
]}

Chen, Wan-ji ^{[2
,3
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China

[3] Shenyang Inst Aeronaut Engn, Inst Struct Anal Aerocraft, Shenyang 110136, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2010年 / 31卷 / 01期

关键词：

17-node quadrilateral element; bivariate spline interpolation basis; triangular area coordinates; B-net method; fourth-order completeness; FAMILY;

D O I：

10.1007/s10483-010-0113-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：125 / 134

页数：10

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