Abstract
In this paper, after a brief introduction on the Dirac delta function and its interesting properties, some of its applications to the boundary element analysis of thick plates in bending are introduced. Modelling of concentrated shear forces and bending moments in boundary integral equations is firstly discussed. Then the treatment of domain loading terms for plate bending problems under line loading is explained, where line shear forces and bending moments are assumed acting on arbitrary curves defined on the plate midplane. Some numerical examples are demonstrated and the results were compared with corresponding analytical solutions. It is clear that, with the use of Dirac delta functions, the boundary element analysis of thick plates in bending, with general cases of loading, has been simplified, and very accurate results were obtained.
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