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Indexed by:期刊论文

Date of Publication:2010-11-15

Journal:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Included Journals:SCIE、EI、Scopus

Volume:199

Issue:45-48

Page Number:2856-2864

ISSN No.:0045-7825

Key Words:Singular integrals; Boundary element method; Radial integration method; Cauchy principal value; Gaussian quadrature

Abstract:In this paper, a robust method is presented for numerical evaluation of weakly, strongly, hyper- and super-singular boundary integrals, which exist in the Cauchy principal value sense in two-and three-dimensional problems. In this method, the singularities involved in integration kernels are analytically removed by expressing the non-singular parts of the integration kernels as power series in the local distance p of the intrinsic coordinate system. For three-dimensional boundary integrals, the radial integration method [1] is applied to transform the surface integral into a line integral over the contour of the surface and to remove various orders of singularities within the radial integrals. Some examples are provided to verify the correctness and robustness of the presented method. (C) 2010 Elsevier B.V. All rights reserved.