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

A quadratic boundary element implementation in orthotropic elasticity using the real variable approach
A quadratic boundary element implementation in orthotropic elasticity using the real variable approach
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 efficiency of the approach. Excellent agreement between BEM results and exact solutions was obtained even with relatively coarse mesh discretizations
1069-8299
257-266
Padhi, G.S.
4e316192-2720-4f34-b8c9-a80526ce84ae
Shenoi, R.A.
a37b4e0a-06f1-425f-966d-71e6fa299960
Moy, S.S.J.
d1b1f023-d32a-4b00-8a3f-17c89f91a51e
Hawkins, G.L.
c8a8e8fd-2818-45a1-9e4d-63e2d264a726
Padhi, G.S.
4e316192-2720-4f34-b8c9-a80526ce84ae
Shenoi, R.A.
a37b4e0a-06f1-425f-966d-71e6fa299960
Moy, S.S.J.
d1b1f023-d32a-4b00-8a3f-17c89f91a51e
Hawkins, G.L.
c8a8e8fd-2818-45a1-9e4d-63e2d264a726

Padhi, G.S., Shenoi, R.A., Moy, S.S.J. and Hawkins, G.L. (2000) A quadratic boundary element implementation in orthotropic elasticity using the real variable approach. Communications in Numerical Methods in Engineering, 16 (4), 257-266. (doi:10.1002/(SICI)1099-0887(200004)16:4<257::AID-CNM328>3.0.CO;2-I).

Record type: Article

Abstract

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 efficiency of the approach. Excellent agreement between BEM results and exact solutions was obtained even with relatively coarse mesh discretizations

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Published date: 2000

Identifiers

Local EPrints ID: 21526
URI: http://eprints.soton.ac.uk/id/eprint/21526
ISSN: 1069-8299
PURE UUID: b85bdb3e-3ebc-4a35-bda4-57fcf96eb879

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Date deposited: 07 Feb 2007
Last modified: 15 Mar 2024 06:31

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Contributors

Author: G.S. Padhi
Author: R.A. Shenoi
Author: S.S.J. Moy
Author: G.L. Hawkins

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