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

被引：0
|
作者：
Juan Chen
Chong-jun Li
Wan-ji Chen
机构：
[1] Dalian University of Technology,School of Mathematical Sciences
[2] Dalian University of Technology,State Key Laboratory for Structural Analysis of Industrial Equipment
[3] Shenyang Institute of Aeronautical Engineering,Institute for Structural Analysis of Aerocraft
来源：
Applied Mathematics and Mechanics | 2010年 / 31卷
关键词：
17-node quadrilateral element; bivariate spline interpolation basis; triangular area coordinates; B-net method; fourth-order completeness; O241; O343; 65D07; 74S05;
D O I：
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学科分类号：
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.
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页码：125 / 134
页数：9
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