Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 199, Issue 45-48, Pages 2856-2864Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.05.008
Keywords
Singular integrals; Boundary element method; Radial integration method; Cauchy principal value; Gaussian quadrature
Funding
- National Natural Science Foundation of China [10872050]
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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.
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