LONG Zhi-fei, LIU Zhi-hai. A Triangular Thick/Thin Plate Element with Shear Strain and SUPplementary Deflection Fields[J]. Engineering Mechanics, 2002, 19(5): 41-47.
Citation: LONG Zhi-fei, LIU Zhi-hai. A Triangular Thick/Thin Plate Element with Shear Strain and SUPplementary Deflection Fields[J]. Engineering Mechanics, 2002, 19(5): 41-47.

A Triangular Thick/Thin Plate Element with Shear Strain and SUPplementary Deflection Fields

More Information
  • Received Date: November 21, 2001
  • Revised Date: December 31, 1899
  • In this paper, a simple approach to formulating a triangular element for the analysis of thick and thin plates is proposed. Firstly, a 9-DOF thin plate element is formulated based on the generalized compatibility condition. Secondly, the shear strain and supplementary deflection fields in the domain of the element are determined using an improved interpolation method and the generalized compatibility condition, respectively. As the plate becomes progressively thinner, the shear strain and supplementary deflection fields approach zero automatically, and the element is free of shear locking. Numerical examples show that the element, GCLLM-T9, has a higher precision for a large range of thickness-span ratio from very thin plate to thick plate.
  • Related Articles

    [1]GONG Shu-guang, ZENG Wei-dong, ZHANG Jian-ping. STUDY ON NUMERICAL LOCKING AND SENSITIVITY ANALYSIS AND OPTIMIZATION OF REISSNER-MINDLIN PLATE AND SHELL WITH MESHLESS METHOD[J]. Engineering Mechanics, 2011, 28(4): 42-048.
    [2]YU Xin-meng, ZHA Xiao-xiong. AN INCOMPATIBLE SOLID ELEMENT FOR BEAM ANALYSIS AT ELEVATED TEMPERATURES[J]. Engineering Mechanics, 2011, 28(增刊I): 12-015.
    [3]CHEN Zhao-hui, GUO Yi, LI Zheng-liang. THE APPLICATION OF A GENERALIZED CONFORMING ELEMENT FOR THIN-THICK PLATES IN THE ANALYSIS OF THICK RAFT FOUNDATION[J]. Engineering Mechanics, 2008, 25(8): 116-120.
    [4]HUANG Ruo-yu, ZHENG Chang-liang, YAO Wei-an, ZHONG Wan-xie. THE WILSON PLATE BENDING ELEMENT USING THE MEMBRANE-PLATE SIMILARITY THEORY[J]. Engineering Mechanics, 2003, 20(4): 19-23.
    [5]LONG Yu-qiu, FU Xiang-rong. TWO GENERALIZED CONFORMING QUADRILATERAL THICK PLATE ELEMENTS BASED ON ANALYTICAL TRIAL FUNCTIONS[J]. Engineering Mechanics, 2002, 19(3): 10-15.
    [6]CEN Song, LONG Yu-qiu, YAO Zhen-han. A NEW ELEMENT BASED ON THE FIRST-ORDER SHEAR DEFORMATION THEORY FOR THE ANALYSIS OF LAMINATED COMPOSITE PLATES[J]. Engineering Mechanics, 2002, 19(1): 1-8.
    [7]LONG Zhi-fei, WANG Hai-xia. A UNIVERSAL METHOD FOR CONSTRUCTING RECTANGULAR ELEMENTS FOR THIN AND THICK PLATES[J]. Engineering Mechanics, 2000, 17(4): 37-43.
    [8]Duan Shu-jin, Maeda H., Fujii K., Nakagawa K.. ON THE BENDING OF AN ELASTIC PLATE CONTAINING MULTI-CRACKS[J]. Engineering Mechanics, 1999, 16(3): 21-29.
    [9]Zhang Yanqing, Zheng Zhaobei, Long Yuqiu. A GENERALIZED CONFORMING ELEMENT FOR THIN PLATES BY COONS SURFACE APPROACH[J]. Engineering Mechanics, 1992, 9(2): 86-90.
    [10]Long Zhifei. LOCKING-FREE THICK PLATE RECTANGULAR ELEMENT[J]. Engineering Mechanics, 1992, 9(1): 88-93.

Catalog

    Article Metrics

    Article views (869) PDF downloads (274) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return