Shear Force Predictions from RBF corrected Quad4 elements

Prathap, Gangan and Murthy, MVV (1996) Shear Force Predictions from RBF corrected Quad4 elements. Communications in Numerical Methods in Engineering, 12 . pp. 135-140. ISSN 1552-485X

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    Abstract

    The four-node plate bending element (QUAD4) is the workhorse element in all production run FEA work. Its performance in most applications as measured by convergence of deflections under loads is limited by the simple bilinear functions used. Attempts have been made to enhance its performance by introducing what is called the residual bending flexibility (RBF) correction.”’ Since these elements have a provision to include shear deformation, the RBF correction takes advantage of this fact by modifying the shear energy term to compensate for the deficient bending energy term so that superior performance is obtained. Recently it was shown that this is strictly an extra-variational trick (or ‘crime’), using as an example the two node beam element, which is the one-dimensional equivalent of the QUAD4 element. It is not difficult to argue from this that the RBF correction, as it is frequently applied to QUAD4 elements, will also disturb some properties of its performance, and especially its accuracy in stress prediction. Our short exercise here is motivated from this point of view. Expected (predicted) results will be compared with observed (computed) results using QUAD4 elements with and without RBF correction to substantiate our argument.

    Item Type: Journal Article
    Uncontrolled Keywords: finite elements; QUAD4 elements; RBF corrections; shear force predictions
    Subjects: ENGINEERING > Communications and Radar
    Division/Department: Structures Division, Structures Division
    Depositing User: Ms Indrani V
    Date Deposited: 03 Oct 2012 11:01
    Last Modified: 03 Oct 2012 11:01
    URI: http://nal-ir.nal.res.in/id/eprint/11058

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