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

• Articles • Previous Articles    

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

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.

2010 MSC Number: 

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