Hits:

Indexed by:期刊论文

Date of Publication:2015-01-01

Journal:ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Included Journals:SCIE、EI、ESI高被引论文

Volume:50

Page Number:265-274

ISSN No.:0955-7997

Key Words:Boundary element method; Super singular integral; Projection plane; Power series expansion; Radial Integration Method (Rim)

Abstract:In this paper, an efficient method for numerical evaluation of all kinds of singular curved boundary integrals from 2D/3D BEM analysis is proposed based on an operation technique on a projection line/plane. Firstly, geometry variables on a curved line/surface element are expressed in terms of parameters on the projection line/plane, and then all singularities are analytically removed by expressing the non-singular part of the integration kernel as a power series in a local distance defined on the projection line/plane. Also, a set of crucial relationships computing derivatives of intrinsic coordinates with respect to local orthogonal coordinates is derived. A few examples are provided to demonstrate the correctness and the stability of the proposed method. (C) 2014 Elsevier Ltd. All rights reserved.