In this paper, domain integrals due to body forces in the Boundary Element Method (BEM) for bending of plates resting on elastic foundations are transformed to equivalent boundary integrals. The Reissner plate bending theory is used to model the bending behavior of the plate and the Pasternak (two-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 smoother and simpler transformed kernels. The necessary particular solutions are derived. 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 new boundary integrals.
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