Computation of nearly singular integrals in 3D BEM

被引：15

作者：

Zhang, Yaoming ^{[1
,2
]}

Li, Xiaochao ^{[1
]}

Sladek, Vladimir ^{[3
]}

Sladek, Jan ^{[3
]}

Gao, Xiaowei ^{[2
]}

机构：

[1] Shandong Univ Technol, Inst Appl Math, Zibo 255049, Peoples R China

[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China

[3] Slovak Acad Sci, Inst Construct & Architecture, Bratislava 84503, Slovakia

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2014年 / 48卷

关键词：

3D BEM; 2D nearly singular integrals; High-order geometry elements; Transformation; Elastostatics; BOUNDARY-ELEMENT METHOD; NUMERICAL EVALUATION; GENERAL ALGORITHM; THIN STRUCTURES; TRANSFORMATION; REGULARIZATION;

D O I：

10.1016/j.enganabound.2014.07.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a general methodology for numerical evaluation of the nearly singular 2D integrals over the eight-node second-order quadrilateral geometry elements arising in 3D BEM. An accurate formula of distance between the source and the field point is proposed firstly. And then an extended form of the exponential transformation, which was firstly proposed by present author to regularize nearly singular integrals arising in 2D BEM, is developed to smooth out the rapid variation of the aforementioned formula of distance. Finally, several numerical examples involving boundary layer effect and thin body problems in 3D elastostatics are investigated to verify the proposed scheme, yielding very promising results. Moreover, it should be stressed that the proposed scheme is suitable for any high-order surface elements. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：32 / 42

页数：11

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