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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; Zhu BJ(朱伯靖), Email: cynosureorion@gucas.ac.cn; Qin Taiyan, Email: tyqin@cau.edu.cn
2009-02
发表期刊APPLIED MATHEMATICAL MODELLING
ISSN0307-904X
卷号33期号:2页码:1014-1041
摘要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. 
关键词Electro-magneto-thermo-elastic Coupled Viscoplastic Multiphase Composites Three-dimensional Crack Time-domain Hypersingular Integral Equation Extended Incremental Integral Boundary Element Method
学科领域力学 ; 物理力学
DOI10.1016/j.apm.2007.12.024
URL查看原文
收录类别SCI
语种英语
文章类型Article
WOS研究方向Engineering ; Mathematics ; Mechanics
WOS类目Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号WOS:000261301400029
关键词[WOS]BOUNDARY-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
引用统计
被引频次:10[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ynao.ac.cn/handle/114a53/12326
专题非本单位
通讯作者Zhu BJ(朱伯靖), Email: cynosureorion@gucas.ac.cn; Qin Taiyan, Email: tyqin@cau.edu.cn
作者单位1.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
推荐引用方式
GB/T 7714
Zhu BJ,Qin Taiyan,Zhu BJ,et al. 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,Zhu BJ,&Qin Taiyan, Email: tyqin@cau.edu.cn.(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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