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 hyper-singular 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...

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Bibliographic Details
Published in:Computers & structures 2001-06, Vol.79 (14), p.1325-1333
Main Authors: Padhi, G.S., Shenoi, R.A., Moy, S.S.J., McCarthy, M.A.
Format: Article
Language:English
Subjects:
Analytic integration
Boundary element method
Nearly hyper-singular integrals
Nearly singular integrals
Non-singular integrals
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Summary:In this paper, analytic integration procedures are presented for non-singular, nearly singular and nearly hyper-singular 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.
ISSN:0045-7949
1879-2243
DOI:10.1016/S0045-7949(01)00020-7