A symmetric Galerkin BEM for plate bending analysis

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    4 Citazioni (Scopus)

    Abstract

    The Symmetric Galerkin Boundary Element Method is employed in thin plate bending analysis inaccordance with the Love–Kirchhoff kinematical assumption. The equations are obtained through the stationary conditions of the total potential energy, written for a plate whose boundary is discretized in boundary elements. Since the matrix coefficients are made up as double integrals with high order singularities, a strategy is shown to compute these coefficients in closed form. Furthermore, in order to model the kinematical discontinuities and to weight the mechanical quantities along the boundary elements, the Lagrangian quadratic shape functions, rather than C1 type (spline, Hermitian), are employed. The effectiveness of the matrix coefficients is shown through the rigid body movement technique.
    Lingua originaleEnglish
    pagine (da-a)62-74
    Numero di pagine13
    RivistaEUROPEAN JOURNAL OF MECHANICS. A, SOLIDS
    Volume28
    Stato di pubblicazionePublished - 2008

    All Science Journal Classification (ASJC) codes

    • Materials Science(all)
    • Mechanics of Materials
    • Mechanical Engineering
    • Physics and Astronomy(all)

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