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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (1): 125-134.doi: https://doi.org/10.1007/s10483-010-0113-1

• Articles • 上一篇    

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

陈娟1 李崇君1 陈万吉2,3   

  1. 1. School of Mathematical Sciences, Dalian University of Technology,Dalian 116024, P. R. China;
    2. State Key Laboratory for Structural Analysis of Industrial Equipment,Dalian University of Technology, Dalian 116024, P. R. China;
    3. Institute for Structural Analysis of Aerocraft, Shenyang Institute of Aeronautical Engineering, Shenyang 110136, P. R. China
  • 收稿日期:2009-07-27 修回日期:2009-11-29 出版日期:2010-01-03 发布日期:2010-01-01

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

CHEN Juan1, LI Chong-Jun1, CHEN Wan-Ji2,3   

  1. 1. School of Mathematical Sciences, Dalian University of Technology,Dalian 116024, P. R. China;
    2. State Key Laboratory for Structural Analysis of Industrial Equipment,Dalian University of Technology, Dalian 116024, P. R. China;
    3. Institute for Structural Analysis of Aerocraft, Shenyang Institute of Aeronautical Engineering, Shenyang 110136, P. R. China
  • Received:2009-07-27 Revised:2009-11-29 Online:2010-01-03 Published:2010-01-01

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1132

被引次数

15

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.

Abstract: 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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