On the similarity methods in fracture mechanics

doi:10.1007/PL00010840

IMECH-IR > 力学所知识产出(1956-2008)

	On the similarity methods in fracture mechanics
	Zhao YP(赵亚溥); Zhao, YP (reprint author), Chinese Acad Sci, Inst Mech, Lab Nonlinear Mech Continuous Media, Beijing 100080, Peoples R China.
发表期刊	Forschung Im Ingenieurwesen-Engineering Research
	1998
卷号	64 期号:10 页码:257-268
ISSN	0015-7899
摘要	This paper presents a brief review about the application of similarity methods to fracture mechanics. This includes some dimensionless numbers and some scaling laws in fracture mechanics, discrete scale invariance (DSI) and log-periodic corrections to scaling, the analogy between multiple fracture of solids and fully developed turbulence, and the property of self-organized criticality of some fracture process. An example is given to show the application of similarity method for the solution of a stationary semi-infinite mode III crack subjected to step dynamic loading. As a self-similar problem, the governing equation can be reduced to Riemann's equation by a simple similarity transformation, and Riemann's equation can be reduced to Gauss' hypergeometric equation by a certain transformation, thus this problem is solved by using the hypergeometric series.
学科领域	力学
DOI	10.1007/PL00010840
收录类别	SCI
语种	英语
WOS记录号	WOS:000077662700002
关键词[WOS]	EARTHQUAKES ; TRANSITION ; DUCTILE
WOS研究方向	Engineering
WOS类目	Engineering, Multidisciplinary ; Engineering, Mechanical
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/15338
专题	力学所知识产出(1956-2008)
通讯作者	Zhao, YP (reprint author), Chinese Acad Sci, Inst Mech, Lab Nonlinear Mech Continuous Media, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Zhao YP,Zhao, YP . On the similarity methods in fracture mechanics[J]. Forschung Im Ingenieurwesen-Engineering Research,1998,64,10,:257-268.
APA	赵亚溥,&Zhao, YP .(1998).On the similarity methods in fracture mechanics.Forschung Im Ingenieurwesen-Engineering Research,64(10),257-268.
MLA	赵亚溥,et al."On the similarity methods in fracture mechanics".Forschung Im Ingenieurwesen-Engineering Research 64.10(1998):257-268.

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