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A quadratic boundary element implementation in orthotropic elasticity using the real variable approach

✍ Scribed by Padhi, G. S. ;Shenoi, R. A. ;Moy, S. S. J. ;Hawkins, G. L.

Book ID: 101280864
Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 115 KB
Volume: 16
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(200004)16:4<257::aid-cnm328>3.0.co;2-i

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✦ Synopsis

This paper revisits the real variable fundamental solution approach to the Boundary Integral Equation (BIE) method in two-dimensional orthotropic elasticity. The numerical implementation was carried out using quadratic isoparametric elements. The strong and weakly singular integrals were directly evaluated using Euler's transformation technique. The limiting process was done in intrinsic coordinates and no separate numerical treatment for strong and weak singular integrals was necessary. For strongly singular integrals a priori interpretation of the Cauchy principal value is not necessary. Two problems from plane stress and strain are presented to demonstrate the numerical e ciency of the approach. Excellent agreement between BEM results and exact solutions was obtained even with relatively coarse mesh discretizations.

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