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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
Source PublicationINTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
2007-09
Volume44Issue:18-19Pages:5994-6012
DOI10.1016/j.ijsolstr.2007.02.007
Indexed BySCI
KeywordElectromagnetothermoelastic Multiphase Composites Three-dimensional Cracks Hypersingular Integral Equations Boundary Element Method Extended Stress Intensity Factors
Abstract

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.

Funding ProjectN/A
Funding OrganizationN/A
Language英语
Subject Area力学 ; 物理力学
MOST Discipline Catalogue理学 ; 理学::物理学
SubtypeArticle
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Publication PlaceTHE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
ISSN0020-7683
URL查看原文
WOS IDWOS:000249214700011
WOS Research AreaMechanics
WOS SubjectMechanics
WOS KeywordHOMOGENEOUS MAGNETIC-FIELD ; ELECTROMAGNETIC THERMOELASTIC SOLIDS ; SOFT FERROMAGNETIC MATERIALS ; STRESS-STRAIN STATE ; GREENS-FUNCTIONS ; MAGNETOELECTROELASTIC MATERIALS ; MAGNETOELASTIC PROBLEM ; INHOMOGENEITY PROBLEMS ; INITIATION BEHAVIOR ; ELLIPTIC CRACK
Citation statistics
Cited Times:20[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ynao.ac.cn/handle/114a53/12329
Collection个人在本单位外知识产出
Corresponding AuthorQin Taiyan
Affiliation1.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
Recommended Citation
GB/T 7714
Zhu BJ,Qin Taiyan. 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.(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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