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

作　　者：陈娟 李崇君 陈万吉 

机构地区：[1]School of Mathematical Sciences,Dalian University of Technology [2]State Key Laboratory for Structural Analysis of Industrial Equipment,Dalian University of Technology [3]Institute for Structural Analysis of Aerocraft,Shenyang Institute of Aeronautical Engineering

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第1期125-134,共10页应用数学和力学（英文版）

基　　金：supported by the Natural Science Foundation of China China (Nos. 60533060, 10672032, and 10726067);the Science Foundation of Dalian University of Technology (No. SFDUT07001)

摘　　要：Isopaxametric 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 17onode quadrilateral element has been developed using the bivaxiate quaxtic 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.Isopaxametric 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 17onode quadrilateral element has been developed using the bivaxiate quaxtic 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：17-node quadrilateral element bivariate spline interpolation basis trian-gular area coordinates B-net method fourth-order completeness 

分 类 号：O241.82[理学—计算数学] TU435[理学—数学]