WIT Press


The Dirac Delta Function And Its Use In Plate Bending Problems Under Generalized Loading

Price

Free (open access)

Paper DOI

10.2495/EBEM980231

Volume

20

Pages

10

Published

1998

Size

610 kb

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