Dislocation behaviours ahead of crack tip

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	Dislocation behaviours ahead of crack tip
	Wang ZQ(王自强)
刊名	International Journal of Solids and Structures
	1998
卷号	35 期号:36 页码:5033-5050
ISSN号	0020-7683
通讯作者	Wang, TC (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
中文摘要	this paper, a unified mechanics model for dislocation nucleation, emission and dislocation free zone is proposed based on the Peierls framework. Three regions are identified ahead of the crack tip. The emitted dislocations within the plastic zone in the form of an inverse pile up are treated as discrete elastic edge dislocations. Between that zone and the cohesive zone immediately ahead of the crack tip, there is a dislocation free zone. With the stress field and the dislocation density field in the cohesive zone, respectively, expressed in the first and second Chebyshev polynomial series, and the opening and slip displacements in trigonometric series, a set of nonlinear governing equations are obtained which take into account for the interaction between the emitted dislocations and cohesive zone and the nonlinear interaction between sliding displacement and the opening displacement. After discretization, the governing equations are transformed into a set nonlinear algebraic equations which are solved with Newton-Raphson Method. The results of calculation for pure shearing and combined tension and shear loading after dislocation emission are given in detail. Finally, the process of dislocation nucleation and emission on a pair of symmetric slip planes of angle alpha with respect to the crack plane under pure mode I load is analysed. The equilibrium positions and the number of emitted dislocation are determined. Several possible competition behaviors of dislocation emission vs cleavage are revealed.
学科主题	力学
类目[WOS]	Mechanics
研究领域[WOS]	Mechanics
关键词[WOS]	EMISSION ; NUCLEATION ; CLEAVAGE
收录类别	SCI
语种	英语
WOS记录号	WOS:000076371300001
公开日期	2007-06-15 ; 2007-12-05 ; 2009-06-23
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/15650]
专题	力学研究所_力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Wang ZQ. Dislocation behaviours ahead of crack tip[J]. International Journal of Solids and Structures,1998,35(36):5033-5050.
APA	王自强.(1998).Dislocation behaviours ahead of crack tip.International Journal of Solids and Structures,35(36),5033-5050.
MLA	王自强."Dislocation behaviours ahead of crack tip".International Journal of Solids and Structures 35.36(1998):5033-5050.