A Boundary Integral Transformation for Bending Analysis of Thick Plates Resting on Bi-Parameter Foundation

Abstract

In this work an efficient boundary element analysis for plates resting on bi-parameter foundation is presented. The present formulation mainly deffers from previously published formulations in the way of the treatment of body forces. Domain integrals due to uniform loading are transformed to equivalent boundary integrals. The Reissner plate bending theory is used to model the bending behavior of the plate and the Pasternak (bi-parameter) foundation model is used. Unlike, common techniques of the transformation, which are based on the Green second identity, the present formulation employs the Green first identity which gives more smooth and simpler transformed kernels. The necessary particular solutions are derived and the kernels for the computation of stress resultants at the internal points are derived and given in explicit forms. A general technique for avoiding the appearance of jump terms in the transformed boundary integrals is presented. Three numerical examples are presented to demonstrate the accuracy and the validity of the present formulation.

Keywords

boundary element method transformation of domain integrals to the boundary Green's identities plate bending elastic foundations

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