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	A small-scale magnetic-yielding model for an infinite magnetostrictive plane with a crack-like flaw
	Wan, Y.P. ; Fang, D.N. ; Soh, A.K.
	2010-05-07 ; 2010-05-07
关键词	Theoretical or Mathematical/ crack-edge stress field analysis ferromagnetic materials fracture toughness magnetisation magnetoelastic effects magnetostriction yield stress/ small-scale magnetic-yielding model infinite magnetostrictive plane crack-like flaw fracture toughness magnetostrictive materials stress fields linear magnetization magnetic saturation zone complex potential theory magnetoelastic zones slender elliptical crack soft ferromagnetic materials crack-tip yield stress fracture analysis/ A8140N Fatigue, embrittlement, and fracture A8140L Deformation, plasticity and creep A7550 Studies of specific magnetic materials A7560E Magnetization curves, hysteresis, Barkhausen and related effects A7580 Magnetomechanical and magnetoelectric effects, magnetostriction A6220M Fatigue, brittleness, fracture, and cracks A6220F Deformation and plasticity
中文摘要	The effect of an external magnetic field on the fracture toughness of magnetostrictive materials has been investigated by determining the local stress fields around the tip of a very slender elliptical flaw embedded in an infinite magnetostrictive plane subjected to magnetic loading, based on the assumption of linear magnetization. In this paper, the above-mentioned analytical approach is extended to develop a small-scale magnetic-yielding model. The magnetic saturation zone is constructed and the distributions of magnetic field and magnetization are obtained around the tip of a slender elliptical crack. Based on the complex potential theory, the stress field is obtained in the vicinity of the tip of the slender elliptical crack by implementing the continuity conditions of displacement and resultant force at the interface between the magnetic saturation and magnetoelastic zones. The stress fields near the tip of the slender elliptical crack are obtained for two kinds of soft ferromagnetic materials each with a small induction magnetostrictive modulus. The theoretical results obtained show that the stresses in the neighborhood of a crack-tip are finite even when the elliptical crack reduces to a sharp crack, and are much smaller than the yield stress or the nominal fracture stress of the material. This suggests that, generally, the magnetic field has no obvious effects on the apparent fracture toughness of soft ferromagnetic materials, which is in agreement with the existing experimental results published in the existing literature. In addition, the theoretical analysis illustrates that no crack is magnetically impermeable, and the corresponding boundary conditions are inappropriate for fracture analysis of soft ferromagnetic materials.
语种	英语 ; 英语
出版者	Elsevier ; UK
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/15668]
专题	清华大学
推荐引用方式 GB/T 7714	Wan, Y.P.,Fang, D.N.,Soh, A.K.. A small-scale magnetic-yielding model for an infinite magnetostrictive plane with a crack-like flaw[J],2010, 2010.
APA	Wan, Y.P.,Fang, D.N.,&Soh, A.K..(2010).A small-scale magnetic-yielding model for an infinite magnetostrictive plane with a crack-like flaw..
MLA	Wan, Y.P.,et al."A small-scale magnetic-yielding model for an infinite magnetostrictive plane with a crack-like flaw".(2010).

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