Analytic integration of kernel shape function product integrals in the boundary element method
Analytic integration of kernel shape function product integrals in the boundary element method
In this paper, analytic integration procedures are presented for non-singular, nearly singular and nearly hypersingular boundary element integrals in two-dimensional (2-D) elastostatics. Both curved and straight boundaries are considered for this purpose. In the former case, a series approximation is adopted and in the latter case the integrals are evaluated exactly. In the analytical results the geometry is kept in symbolic form. Integral result for a particular element can be obtained after giving appropriate numerical values to the analytical results. Convergence aspects of these analytical results are studied in detail. The analytical integral results are then used for analysis of 2-D structures in elasticity.
boundary element method, analytic integration, non-singular integrals, nearly singular integrals, nearly hyper-singular integrals
1325-1333
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
McCarthy, M.A.
ee73ad14-502d-4988-a56e-ee0238bf1005
June 2001
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
McCarthy, M.A.
ee73ad14-502d-4988-a56e-ee0238bf1005
Padhi, G.S., Shenoi, R.A., Moy, S.S.J. and McCarthy, M.A.
(2001)
Analytic integration of kernel shape function product integrals in the boundary element method.
Computers & Structures, 79 (14), .
(doi:10.1016/S0045-7949(01)00020-7).
Abstract
In this paper, analytic integration procedures are presented for non-singular, nearly singular and nearly hypersingular boundary element integrals in two-dimensional (2-D) elastostatics. Both curved and straight boundaries are considered for this purpose. In the former case, a series approximation is adopted and in the latter case the integrals are evaluated exactly. In the analytical results the geometry is kept in symbolic form. Integral result for a particular element can be obtained after giving appropriate numerical values to the analytical results. Convergence aspects of these analytical results are studied in detail. The analytical integral results are then used for analysis of 2-D structures in elasticity.
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Published date: June 2001
Keywords:
boundary element method, analytic integration, non-singular integrals, nearly singular integrals, nearly hyper-singular integrals
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Local EPrints ID: 53943
URI: http://eprints.soton.ac.uk/id/eprint/53943
ISSN: 0045-7949
PURE UUID: 04db3435-b34d-4320-875e-c44cc75de82b
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Date deposited: 22 Jul 2008
Last modified: 15 Mar 2024 10:42
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Author:
G.S. Padhi
Author:
S.S.J. Moy
Author:
M.A. McCarthy
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