Projection plane method for evaluation of arbitrary high order singular boundary integrals

被引：35
作者：
Gao, Xiao-Wei [1 ]
Feng, Wei-Zhe [1 ]
Yang, Kai [1 ]
Cui, Miao [1 ]
机构：
[1] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Sch Aeronaut & Astronaut, Dalian 116024, Peoples R China
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2015年 / 50卷
基金：
中国国家自然科学基金;
关键词：
Boundary element method; Super singular integral; Projection plane; Power series expansion; Radial Integration Method (Rim); ELEMENT METHOD; NUMERICAL EVALUATION; ONLY DISCRETIZATION; DOMAIN INTEGRALS; FREE TERMS; EQUATIONS; BEM; REGULARIZATION; FORMULATION; ELASTICITY;
D O I：
10.1016/j.enganabound.2014.08.016
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
引用
收藏
页码：265 / 274
页数：10
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