|
个人信息Personal Information
教授
博士生导师
硕士生导师
任职 : 国家重大专项专家组成员、教育部热防护专业组组长、国际华人计算力学协会理事、中国航空学会理事、中国航空学会强度与设计专业委员会委员、国际边界单元法协会会员、教育部高等学校航空航天类专业教学指导委员会委员
性别：男
毕业院校：Glasgow University
学位：博士
所在单位：力学与航空航天学院
办公地点：海宇楼403A
联系方式：0411-84706332
电子邮箱：xwgao@dlut.edu.cn
An improved direct method for evaluating hypersingular stress boundary integral equations in BEM
点击次数：
论文类型：期刊论文
发表时间：2015-12-01
发表刊物：ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
收录刊物：SCIE、EI、Scopus
卷号：61
页面范围：274-281
ISSN号：0955-7997
关键字：Boundary element method; Hypersingular integrals; Stress analysis; Power series expansion
摘要：An efficient numerical method for evaluating all kinds of singular boundary integrals presented in Ref. Gao, 2002 [16] is improved by using a newly derived formulation for computing the spatial derivative of the global distance, which is inevitably used in the finite part of radial integrals. Based on this improvement, more accurate and stable results are obtained in evaluating singular integrals on curved boundary elements. Applying this improved singular integral method to evaluate hypersingular boundary integrals in the stress boundary integral equation, and a high order accuracy of stresses is achieved. Numerical examples are given to illustrate the correctness of the proposed method, and computational results show that the accurate stresses can be obtained even on a coarse mesh, compared with other conventional techniques. (C) 2015 Elsevier Ltd. All rights reserved.