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

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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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Authors and Affiliations

  1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, P. R. China

    Juan Chen  (陈娟) & Chong-jun Li  (李崇君)

  2. State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian, 116024, P. R. China

    Wan-ji Chen  (陈万吉)

  3. Institute for Structural Analysis of Aerocraft, Shenyang Institute of Aeronautical Engineering, Shenyang, 110136, P. R. China

    Wan-ji Chen  (陈万吉)

Authors
  1. Juan Chen  (陈娟)
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  2. Chong-jun Li  (李崇君)
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  3. Wan-ji Chen  (陈万吉)
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Corresponding author

Correspondence to Juan Chen  (陈娟).

Additional information

Communicated by Hong-qing ZHANG

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

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Chen, J., Li, Cj. & Chen, Wj. A 17-node quadrilateral spline finite element using the triangular area coordinates. Appl. Math. Mech.-Engl. Ed. 31, 125–134 (2010). https://doi.org/10.1007/s10483-010-0113-1

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  • DOI: https://doi.org/10.1007/s10483-010-0113-1

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Chinese Library Classification

2000 Mathematics Subject Classification

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