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3D modeling of crack growth in electro-magneto-thermo-elastic coupled viscoplastic multiphase composites
Zhu BJ(朱伯靖)1,2; Qin Taiyan1
Source PublicationAPPLIED MATHEMATICAL MODELLING
2009-02
Volume33Issue:2Pages:1014-1041
DOI10.1016/j.apm.2007.12.024
Indexed BySCI
KeywordElectro-magneto-thermo-elastic Coupled Viscoplastic Multiphase Composites Three-dimensional Crack Time-domain Hypersingular Integral Equation Extended Incremental Integral Boundary Element Method
Abstract

This work presents a time-domain hypersingular integral equation (TD-HIE) method for modeling 3D crack growth in electro-magneto-thermo-elastic coupled viscoplastic multiphase composites (EMTE-CVP-MCs) under extended incremental loads rate through intricate theoretical analysis and numerical simulations. Using Green's functions, the extended general incremental displacement rate solutions are obtained by time-domain boundary element method. Three-dimensional arbitrary crack growth problem in EMTE-CVP-MCs is reduced to solving a set of TD-HIEs coupled with boundary integral equations, in which the unknown functions are the extended incremental displacement discontinuities gradient. Then, the behavior of the extended incremental displacement discontinuities gradient around the crack front terminating at the interface is analyzed by the time-domain main-part analysis method of TD-HIE. Also, analytical solutions of the extended singular incremental stresses gradient and extended incremental integral near the crack fronts in EMTE-CVP-MCs are provided. In addition, a numerical method of the TD-HIE for a 3D crack subjected to extended incremental loads rate is put forward with the extended incremental displacement discontinuities gradient approximated by the product of time-domain basic density functions and polynomials. Finally, examples are presented to demonstrate the application of the proposed method. 

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
PublisherELSEVIER SCIENCE INC
Publication Place360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
ISSN0307-904X
URL查看原文
WOS IDWOS:000261301400029
WOS Research AreaEngineering ; Mathematics ; Mechanics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS KeywordBOUNDARY-ELEMENT METHOD ; DEPENDENT INELASTIC DEFORMATION ; INTEGRAL-EQUATION METHOD ; DISPLACEMENT DISCONTINUITY METHOD ; INCREMENTAL NONLINEAR ELASTICITY ; 3-DIMENSIONAL CRACK ; SHEAR BANDS ; PIEZOELECTRIC MATERIALS ; ELASTOPLASTIC ANALYSIS ; NUMERICAL-ANALYSIS
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Document Type期刊论文
Identifierhttp://ir.ynao.ac.cn/handle/114a53/12326
Collection个人在本单位外知识产出
Corresponding AuthorQin Taiyan
Affiliation1.College of Science, China Agriculture University, Beijing 100083, PR China
2.College of Earth Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, PR China
Recommended Citation
GB/T 7714
Zhu BJ,Qin Taiyan. 3D modeling of crack growth in electro-magneto-thermo-elastic coupled viscoplastic multiphase composites[J]. APPLIED MATHEMATICAL MODELLING,2009,33(2):1014-1041.
APA Zhu BJ,&Qin Taiyan.(2009).3D modeling of crack growth in electro-magneto-thermo-elastic coupled viscoplastic multiphase composites.APPLIED MATHEMATICAL MODELLING,33(2),1014-1041.
MLA Zhu BJ,et al."3D modeling of crack growth in electro-magneto-thermo-elastic coupled viscoplastic multiphase composites".APPLIED MATHEMATICAL MODELLING 33.2(2009):1014-1041.
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