CHEN Juan, LI Chong-jun, CHEN Wan-ji. A NEW METHOD OF QUADRILATERAL ELEMENTS BY AREA COORDINATES INTERPOLATION[J]. Engineering Mechanics, 2010, 27(5): 45-052,.
Citation: CHEN Juan, LI Chong-jun, CHEN Wan-ji. A NEW METHOD OF QUADRILATERAL ELEMENTS BY AREA COORDINATES INTERPOLATION[J]. Engineering Mechanics, 2010, 27(5): 45-052,.

A NEW METHOD OF QUADRILATERAL ELEMENTS BY AREA COORDINATES INTERPOLATION

More Information
  • Received Date: December 31, 1899
  • Revised Date: December 31, 1899
  • A universal technique for developing new plane quadrilateral spline elements is proposed. In this approach, the triangular area coordinate interpolation and the B-net method are employed to establish the formulations, which satisfy the conforming conditions between two adjacent elements. By using 1-, 2- and 3-order bivariate spline interpolation bases, three new 4-, 8- and 12-node quadrilateral elements are successfully constructed, respectively. The displacement interpolation functions of the new 8- and 12-node elements possess higher order completeness than the corresponding isoparametric quadrilateral elements and the generalized conforming elements by area coordinates, and the resulting stresses are continuous within an element. Some appropriate examples are employed to evaluate the performance of the proposed elements. The numerical results show that the new spline elements present higher precision and are insensitive to mesh distortions.
  • Related Articles

    [1]WANG Li, LONG Yu-qiu, LONG Zhi-fei. QUADRILATERAL THIN PLATE ELEMENTS FORMULATED BY THE AREA COORDINATE METHOD AND THE SHAPE FUNCTION SPECTRUM METHOD[J]. Engineering Mechanics, 2010, 27(8): 1-004,.
    [2]WANG Li, LONG Zhi-fei, LONG Yu-qiu. EIGHT-NODE QUADRILATERAL MEMBRANE ELEMENT FORMULATED BY MIXED USE OF THE THREE TYPES OF THE QUADRILATERAL AREA COORDINATE METHOD[J]. Engineering Mechanics, 2010, 27(2): 1-006.
    [3]LONG Yu-qiu, LONG Zhi-fei, WANG Li. THE THIRD VERSION OF AREA COORDINATE SYSTEMS FOR QUADRILATERAL ELEMENTS[J]. Engineering Mechanics, 2009, 26(2): 1-004,.
    [4]LI Hong-guang, CEN Song, LONG Yu-qiu. VOLUME COORDINATE METHOD FOR HEXAHEDRAL ELEMENTS[J]. Engineering Mechanics, 2008, 25(10): 12-018.
    [5]GUAN Nan-xiang, CEN Song, . NEW GENERALIZED CONFORMING AXISYMMETRIC ELEMENTS BASED ON THE QUADRILATERAL AREA COORDINATE METHOD[J]. Engineering Mechanics, 2007, 24(增刊Ⅱ): 161-167.
    [6]CHEN Xiao-ming, CEN Song, LONG Yu-qiu, FU Xiang-rong. A TWO-COMPONENT AREA COORDINATE METHOD FOR QUADRILATERAL ELEMENTS[J]. Engineering Mechanics, 2007, 24(增Ⅰ): 32-035.
    [7]CEN Song, LONG Yu-qiu. A QUADRILATERAL THIN-THICK PLATE BENDING ELEMENT BY USING AREA COORDINATE METHOD[J]. Engineering Mechanics, 1999, 16(2): 1-15.
    [8]Long Zhifei, Li Juxuan, Cen Song, Long Yuqiu. A QUADRILATERAL PLATE BENDING ELEMENT BY USING AREA COORDINATE METHOD[J]. Engineering Mechanics, 1997, 14(4): 1-10.
    [9]Long Zhifei, Li Juxuan, Cen Song, Long Yuqiu. DIFFERENTIAL AND INTEGRAL FORMULAS FOR AREA COORDINATES IN QUADRILATERAL ELEMENT[J]. Engineering Mechanics, 1997, 14(3): 12-20.
    [10]Long Yuqiu, Li Juxuan, Long Zhifei, Cen Song. AREA-COORDINATE THEORY FOR QUADRILATERAL ELEMENTS[J]. Engineering Mechanics, 1997, 14(3): 1-11.

Catalog

    Article Metrics

    Article views (1863) PDF downloads (898) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return