The Dirac Delta Function And Its Use In Plate
Bending Problems Under Generalized Loading
Author(s)
A. El-Zafrany
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
loadi
Keywords
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