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Application of hypersingular integral equation method to three-dimensional crack in electromagnetothermoelastic multiphase composites
Zhu BJ(朱伯靖)1,2; Qin Taiyan1; Qin Taiyan, tyqin@cau.edu.cn
发表期刊INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
2007-09
卷号44期号:18-19页码:5994-6012
DOI10.1016/j.ijsolstr.2007.02.007
收录类别SCI
关键词Electromagnetothermoelastic Multiphase Composites Three-dimensional Cracks Hypersingular Integral Equations Boundary Element Method Extended Stress Intensity Factors
摘要A three-dimensional crack problem in electromagnetothermoelastic multiphase composites (EMTE-MCs) under extended loads is investigated in this paper. Using Green’s functions, the extended general displacement solutions are obtained by the boundary element method. This crack problem is reduced to solving a set of hypersingular integral equations coupled with boundary integral equations, in which the unknown functions are the extended displacement discontinuities. Then, the behavior of the extended displacement discontinuities around the crack front terminating at the interface is analyzed by the main-part analysis method of hypersingular integral equations. Analytical solutions for the extended singular stresses, the extended stress intensity factors (SIFs) and the extended energy release rate near the crack front in EMTE-MCs are provided. Also, a numerical method of the hypersingular integral equations for a rectangular crack subjected to extended loads is put forward with the extended displacement discontinuities approximated by the product of basic density functions and polynomials. In addition, distributions of extended SIFs varying with the shape of the crack are presented. The results show that the present method accurately yields smooth variations of extended SIFs along the crack front.
语种英语
学科领域力学 ; 物理力学
文章类型Article
ISSN0020-7683
URL查看原文
WOS记录号WOS:000249214700011
WOS研究方向Mechanics
WOS类目Mechanics
关键词[WOS]HOMOGENEOUS MAGNETIC-FIELD ; ELECTROMAGNETIC THERMOELASTIC SOLIDS ; SOFT FERROMAGNETIC MATERIALS ; STRESS-STRAIN STATE ; GREENS-FUNCTIONS ; MAGNETOELECTROELASTIC MATERIALS ; MAGNETOELASTIC PROBLEM ; INHOMOGENEITY PROBLEMS ; INITIATION BEHAVIOR ; ELLIPTIC CRACK
引用统计
文献类型期刊论文
条目标识符http://ir.ynao.ac.cn/handle/114a53/12329
专题个人在本单位外知识产出
通讯作者Qin Taiyan, tyqin@cau.edu.cn
作者单位1.College of Science, China Agricultural University, Beijing 100083, PR China
2.College of Mechanical Engineering, South China University of Tropical Agriculture, Danzhou 571737, PR China
推荐引用方式
GB/T 7714
Zhu BJ,Qin Taiyan,Qin Taiyan, tyqin@cau.edu.cn. Application of hypersingular integral equation method to three-dimensional crack in electromagnetothermoelastic multiphase composites[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,2007,44(18-19):5994-6012.
APA Zhu BJ,Qin Taiyan,&Qin Taiyan, tyqin@cau.edu.cn.(2007).Application of hypersingular integral equation method to three-dimensional crack in electromagnetothermoelastic multiphase composites.INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,44(18-19),5994-6012.
MLA Zhu BJ,et al."Application of hypersingular integral equation method to three-dimensional crack in electromagnetothermoelastic multiphase composites".INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 44.18-19(2007):5994-6012.
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