Analysis of 3D fluid driven crack propagation problem in co-seismic slip under P- and S-waves by hybrid hypersingular integral method

doi:10.1016/j.cma.2009.02.031

	Analysis of 3D fluid driven crack propagation problem in co-seismic slip under P- and S-waves by hybrid hypersingular integral method
	Zhu, B. J.1,2; Shi, Y. L.1; Sukop, M. C.2; Li, Y. B.1,3; Qin, T. Y.4
刊名	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
	2009
卷号	198 期号:30-32 页码:2446-2469
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
ISSN号	0045-7825
DOI	10.1016/j.cma.2009.02.031
文献子类	Article
英文摘要	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. (C) 2009 Elsevier B.V. All rights reserved.
WOS关键词	INCREMENTAL NONLINEAR ELASTICITY ; PIECEWISE HETEROGENEOUS MEDIA ; METAL-INDUCED EMBRITTLEMENT ; GREENS-FUNCTIONS ; NUMBER REPRESENTATION ; 3-DIMENSIONAL CRACK ; EQUATION METHOD ; SHEAR BANDS ; HALF-SPACE ; BOUNDARY
WOS研究方向	Engineering ; Mathematics ; Mechanics
语种	英语
出版者	ELSEVIER SCIENCE SA
WOS记录号	WOS:000266820000018
资助机构	National Natural Science Foundation of China(40673016 ; National Natural Science Foundation of China(40673016 ; China Postdoctoral Science Foundation(20080430073) ; China Postdoctoral Science Foundation(20080430073) ; 10872213) ; 10872213) ; National Natural Science Foundation of China(40673016 ; National Natural Science Foundation of China(40673016 ; China Postdoctoral Science Foundation(20080430073) ; China Postdoctoral Science Foundation(20080430073) ; 10872213) ; 10872213) ; National Natural Science Foundation of China(40673016 ; National Natural Science Foundation of China(40673016 ; China Postdoctoral Science Foundation(20080430073) ; China Postdoctoral Science Foundation(20080430073) ; 10872213) ; 10872213) ; National Natural Science Foundation of China(40673016 ; National Natural Science Foundation of China(40673016 ; China Postdoctoral Science Foundation(20080430073) ; China Postdoctoral Science Foundation(20080430073) ; 10872213) ; 10872213)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/70673]
专题	中国科学院地质与地球物理研究所
通讯作者	Zhu, B. J.
作者单位	1.Chinese Acad Sci, Grad Univ, Lab Computat Geodynam, Coll Earth Sci, Beijing 100049, Peoples R China 2.Florida Int Univ, Dept Earth Sci, Miami, FL 33199 USA 3.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China 4.Chinese Agr Univ, Coll Sci, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Zhu, B. J.,Shi, Y. L.,Sukop, M. C.,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, B. J.,Shi, Y. L.,Sukop, M. C.,Li, Y. B.,&Qin, T. Y..(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, B. J.,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.