摘要The influence of magnetic field on the nucleation of micro crack for brittle fracture is studied. The dynamic equation of micro crack in magnetic field is deducted. Using the crack model of a single pile-up group of dislocation, the growth speed of micro crack at a low growth speed stage is derived. To understand the effect of the magnetic field on the nucleation, the mean nucleation rate of micro crack in magnetic field is obtained. The derived result on the mean nucleation rate of micro crack shows that the applied magnetic field could change the mean nucleation rate of micro crack. The way in which the mean nucleation rate varies with the field depends not only on the field but also on the magneto properties of material.
Abstract：The influence of magnetic field on the nucleation of micro crack for brittle fracture is studied. The dynamic equation of micro crack in magnetic field is deducted. Using the crack model of a single pile-up group of dislocation, the growth speed of micro crack at a low growth speed stage is derived. To understand the effect of the magnetic field on the nucleation, the mean nucleation rate of micro crack in magnetic field is obtained. The derived result on the mean nucleation rate of micro crack shows that the applied magnetic field could change the mean nucleation rate of micro crack. The way in which the mean nucleation rate varies with the field depends not only on the field but also on the magneto properties of material.
(Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure)
引用本文:
LIU Zhao-Long;HU Hai-Yun;FAN Tian-You;XING Xiu-San. Nucleation of Micro Crack for Brittle Fracture in Magnetic Field[J]. 中国物理快报, 2010, 27(10): 106202-106202.
LIU Zhao-Long, HU Hai-Yun, FAN Tian-You, XING Xiu-San. Nucleation of Micro Crack for Brittle Fracture in Magnetic Field. Chin. Phys. Lett., 2010, 27(10): 106202-106202.
[1] Moon F C 1984 Magneto-Solid Mechanics (New York: Wiley)
[2] Chan J W, Glazer J, Mei Z, Kramer P A and Morris J W 1990 Acta Metall. Mater 38 479
[3] Chan J W, Chu D, Tseng C and Morris J W 1994 Adv. Cryo. Eng. Mater. 40 1215
[4] Shindo Y, Yamaguchi Y and Horiguchi K 2004 Cryogenics 44 789
[5] Wang X N, Cheng Z and Liu B 2002 J. Chin. Rare Earth Soc. 20 252 (in Chinese)
[6] Li H Q, Wang Y B and Chu W Y 2001 J. Mater. Sci. Technology 17 457
[7] Niu E, He J Y, Qiao L J, Chu W Y, Yu D B and Li K S 2006 Acta Metallurgica Sin. 42 369 (in Chinese)
[8] Lawn B R and Wilshaw T R 1975 Fracture of Brittle Solids (London: Cambridge University)
[9] Stroh A N 1955 Proc. Roy. Soc. A 232 548
[10] Xing X S 1986 Engin. Fracture Mech. 24 45
[11] Liu Z L, Hu H Y, Fan T Y and Xing X S 2009 Chin. Phys. B 18 1283
[12] Liebowitz H 1968 Fracture (New York: Academic) vol 2 p 51
2010, Vol. 27 
