A New Accurate yet Simple Shear Flexible Triangular Plate Element with Linear Bending Strains

Lars Damkilde, Ronnie Pedersen

    Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

    Abstract

    The paper describes a new shear flexible triangular element. The formulation is based on displacement interpolation of the transverse displacement of the midsurface and the rotations of the cross-sections, and the element is fully compatible. The basic principle is to use a so-called balanced interpolation so that the part of the shear strains that relates to the transverse displacement has the same polynomial variation as the part of the shear strains that relates to the rotations of the cross-section. This balanced interpolation in combination with complete polynomial interpolations prevents shear locking, which otherwise has to be eliminated by remedies as reduced or selective integration. The element has been tested in different ways and the convergence rate and accuracy are good. By introducing a small incompatibility the degrees of freedom can be reduced from 22 to 18 and the results are virtually the same. The slightly incompatible formulation can be implemented directly into commercial codes.
    OriginalsprogEngelsk
    TitelProceedings of the Tenth International Conference on Computational Structures Technology
    RedaktørerB. H. V. Topping, J. M. Adam, F. J. Pallares, R. Bru, M. L. Romero
    Antal sider14
    UdgivelsesstedStirlingshire, Scotland
    ForlagCivil-Comp Press
    Publikationsdato2010
    StatusUdgivet - 2010
    BegivenhedThe International Conference on Computational Structures Technology - Valencia, Spanien
    Varighed: 14 sep. 201017 sep. 2010

    Konference

    KonferenceThe International Conference on Computational Structures Technology
    Land/OmrådeSpanien
    ByValencia
    Periode14/09/201017/09/2010
    NavnCivil-Comp Proceedings
    Nummer93

    Bibliografisk note

    Paper no. 288

    Emneord

    • Plate Elements
    • Shear flexibility
    • Reissner-Mindlin plate theory
    • Shear Locking
    • Balanced Interpolation

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