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论文类型：期刊论文

发表时间：2015-11-01

发表刊物：ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

收录刊物：SCIE、EI、Scopus

卷号：60

期号：,SI

页面范围：144-153

ISSN号：0955-7997

关键字：3D BEM; Nearly singular integrals; Sinh transformation; Boundary layer effect; Thin-structural problem

摘要：The accurate evaluation of nearly singular integrals plays an important role in the implementation of BEM. In general, these include evaluating the solution near the boundary or treating problems with thin domains, which are respectively named the boundary layer effect and the thin-body effect in BEM. Although many methods of evaluating two-dimensional (2D) nearly singular integrals have been developed in recent years with varying degrees of success, questions still remain. In this paper, we present an efficient strategy for numerical evaluation of 2D nearly singular integrals that arise in the solution of 3D BEM using eight-node second-order quadrilateral surface elements. The strategy is an extension of the sinh transformation, which is used to evaluate the 1D or 2D nearly singular integrals on simple geometry elements, such as usual linear or planar elements. Several numerical examples involving boundary layer effect and thin body problems in 3D potential problems are investigated to verify the proposed scheme, yielding very promising results. (C) 2014 Elsevier Ltd. All rights reserved.