中国物理B ›› 2010, Vol. 19 ›› Issue (10): 108103-108103.doi: 10.1088/1674-1056/19/10/108103

• CROSS DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

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

刘兆龙, 胡海云, 范天佑, 邢修三   

  1. Department of Physics, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2010-02-05 修回日期:2010-03-04 出版日期:2010-10-15 发布日期:2010-10-15

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

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)   

  1. Department of Physics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2010-02-05 Revised:2010-03-04 Online:2010-10-15 Published:2010-10-15

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摘要： 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.

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.

Key words: fatigue damage, micro-crack distribution, non-equilibrium statistical theory, magnetic field

中图分类号:  (Structural failure of materials)

  • 62.20.M-
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)