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Analysis of 3D fluid driven crack propagation problem in co-seismic slip under P- and S-waves by hybrid hypersingular integral method
Zhu BJ(朱伯靖)1,2; Shi Yaolin1; Michael Sukop2; Li Yongbing1,3; Qin Taiyan4; Zhu BJ(朱伯靖), Email: cynosureorion@gucas.ac.cn; Shi Yaolin, Email: shiyl@gucas.ac.cn; Michael Sukop, Email: sukopm@fiu.edu; Li Yongbing, Email: ybli@gucas.ac.cn; Qin Taiyan, Email: tyqin@cau.edu.cn
2009-06
发表期刊Computer Methods in Applied Mechanics and Engineering
ISSN0045-7825
卷号198期号:30-32页码:2446-2469
摘要This work reports a new and accurate way of theoretical and numerical description of the extended 3D fluid (electromagnetic and flow) driven crack progression in co-seismic slip under P- and S-waves. First, based on the viscous fluid flow reciprocal work theorem, the hybrid hypersingular integral equation (HIE) method proposed by the author was defined by combined with the coupled extended wave time-domain HIE and the extended diffused interface phase field method. The general extended 3D fluid flow velocity wave solutions are obtained by the extended wave time-domains Green’s function method. The 3D extended dynamic fluid driven crack modeling under fully coupled electromagnetothermoelastic P- and S-wave and flow field was established. Then, the problem is reduced to solving a set of extended hybrid HIEs coupled with nonlinear boundary domain integral equations, in which the unknown functions are the general extended flow velocity discontinuity waves. The behavior of the general extended singular stress indices around the crack front terminating is analyzed by hybrid time-domain main-part analysis. The general extended singular pore stress waves (SPSWs) and the extended dynamic stress intensity factors (DSIFs) on the fluid driven crack surface are obtained from closed-form solutions. In addition, a numerical method for the problem is proposed, in which the extended velocity discontinuity waves are approximated by the product of time-domain density functions and polynomials. The extended DSIFs and general extended SPSWs are calculated, and the results are presented toward demonstrating the applicability of the proposed method.
关键词3d Fluid Driven Crack Propagation Mechanism P- And S-waves Extended Hybrid Hypersingular Integral Equation Extended Dynamic Stress Intensity Factor General Extended Singular Pore Stress Waves
学科领域固体地球物理学
DOI10.1016/j.cma.2009.02.031
项目资助者National Natural Science Foundation of China(40673016, 10872213) ; China Postdoctoral Science Foundation(20080430073)
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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:000266820000018
关键词[WOS]INCREMENTAL NONLINEAR ELASTICITY ; PIECEWISE HETEROGENEOUS MEDIA ; METAL-INDUCED EMBRITTLEMENT ; GREENS-FUNCTIONS ; NUMBER REPRESENTATION ; 3-DIMENSIONAL CRACK ; EQUATION METHOD ; SHEAR BANDS ; HALF-SPACE ; BOUNDARY
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被引频次:4[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/114a53/12327
专题非本单位
通讯作者Zhu BJ(朱伯靖), Email: cynosureorion@gucas.ac.cn; Shi Yaolin, Email: shiyl@gucas.ac.cn; Michael Sukop, Email: sukopm@fiu.edu; Li Yongbing, Email: ybli@gucas.ac.cn; Qin Taiyan, Email: tyqin@cau.edu.cn
作者单位1.Laboratory of Computational Geodynamics, College of Earth Science, Graduate University of Chinese Academy of Sciences, Beijing 100049, PR China
2.Department of Earth Sciences, Florida International University, Miami, FL 33199, USA
3.Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, PR China
4.College of Science, Chinese Agricultural University, Beijing 100083, PR China
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Zhu BJ,Shi Yaolin,Michael Sukop,et al. Analysis of 3D fluid driven crack propagation problem in co-seismic slip under P- and S-waves by hybrid hypersingular integral method[J]. Computer Methods in Applied Mechanics and Engineering,2009,198(30-32):2446-2469.
APA Zhu BJ.,Shi Yaolin.,Michael Sukop.,Li Yongbing.,Qin Taiyan.,...&Qin Taiyan, Email: tyqin@cau.edu.cn.(2009).Analysis of 3D fluid driven crack propagation problem in co-seismic slip under P- and S-waves by hybrid hypersingular integral method.Computer Methods in Applied Mechanics and Engineering,198(30-32),2446-2469.
MLA Zhu BJ,et al."Analysis of 3D fluid driven crack propagation problem in co-seismic slip under P- and S-waves by hybrid hypersingular integral method".Computer Methods in Applied Mechanics and Engineering 198.30-32(2009):2446-2469.
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