Non-equilibrium statistical theory about microscopic fatigue cracks of metal in magnetic field

doi:10.1088/1674-1056/19/10/108103

Abstract This paper develops the non-equilibrium statistical fatigue damage theory to study the statistical behaviour of micro-crack for metals in magnetic field. The one-dimensional homogeneous crack system is chosen for study. To investigate the effect caused by magnetic field on the statistical distribution of micro-crack in the system, the theoretical analysis on microcrack evolution equation, the average length of micro-crack, density distribution function of micro-crack and fatigue fracture probability have been performed. The derived results relate the changes of some quantities, such as average length, density distribution function and fatigue fracture probability, to the applied magnetic field, the magnetic and mechanical properties of metals. It gives a theoretical explanation on the change of fatigue damage due to magnetic fields observed by experiments, and presents an analytic approach on studying the fatigue damage of metal in magnetic field.

Keywords: fatigue damage micro-crack distribution non-equilibrium statistical theory magnetic field

Received: 05 February 2010
Revised: 04 March 2010
Accepted manuscript online:

PACS:	62.20.M-	(Structural failure of materials)
	68.35.Md	(Surface thermodynamics, surface energies)
	75.60.Ej	(Magnetization curves, hysteresis, Barkhausen and related effects)
	81.40.Np	(Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure)

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Liu Zhao-Long(刘兆龙), Hu Hai-Yun(胡海云), Fan Tian-You(范天佑), and Xing Xiu-San(邢修三) Non-equilibrium statistical theory about microscopic fatigue cracks of metal in magnetic field 2010 Chin. Phys. B 19 108103

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Non-equilibrium statistical theory about microscopic fatigue cracks of metal in magnetic field

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