✦ LIBER ✦

Evaluation of boundary integrals for plate bending

✍ Scribed by Ahmed Abdel-Akher; Gilbert A. Hartley

Publisher: John Wiley and Sons
Year: 1989
Tongue: English
Weight: 725 KB
Volume: 28
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1620280107

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✦ Synopsis

The alternative to quadrature, as a procedure for dealing with the integrations required in the direct boundary element method (DBEM), is to carry out the integration analytically and code the results directly. The potential benefits are efficicnt computer programs; the avoidance of numerical instability: and generally, better accuracy. The technique is developed in this paper.

Serious problcnis arise when Gauss quadrature is employed for the integration of functions which contain. or are close to singularities. A numerical integration approach may fail at the first stage of the analysis, that is, during the assembly of the discrete equations; or it may fail at the subsequent stage of computing domain points near the boundary. The severity of the problem is dependent both on the strength of the singularity, and on geometry. These points are illustrated with examples.

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