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

Lars Damkilde, Ronnie Pedersen

    Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-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.
    Original languageEnglish
    Title of host publicationProceedings of the Tenth International Conference on Computational Structures Technology
    EditorsB. H. V. Topping, J. M. Adam, F. J. Pallares, R. Bru, M. L. Romero
    Number of pages14
    Place of PublicationStirlingshire, Scotland
    PublisherCivil-Comp Press
    Publication date2010
    Publication statusPublished - 2010
    EventThe International Conference on Computational Structures Technology - Valencia, Spain
    Duration: 14 Sept 201017 Sept 2010

    Conference

    ConferenceThe International Conference on Computational Structures Technology
    Country/TerritorySpain
    CityValencia
    Period14/09/201017/09/2010
    SeriesCivil-Comp Proceedings
    Number93

    Bibliographical note

    Paper no. 288

    Keywords

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

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