摘要We present a model which predicts the critical free volume concentration of shear banding instability in metallic glasses (MGs). From the stability map, this model demonstrates that the prediction of shear band thickness is valid only for a short time after shear instability, and the diffusion of defects should be included in the mature shear band in MGs. The results agree well with the experimental observations and simulations.
Abstract：We present a model which predicts the critical free volume concentration of shear banding instability in metallic glasses (MGs). From the stability map, this model demonstrates that the prediction of shear band thickness is valid only for a short time after shear instability, and the diffusion of defects should be included in the mature shear band in MGs. The results agree well with the experimental observations and simulations.
[1] Ashby M F and Greer A L 2006 Scr. Mater. 54 321
[2] Schuh C A, Hufnagel T C and Ramamurty U 2007 Acta Mater. 55 4067
[3] Dai L H, Yan M, Liu L F and Bai Y L 2005 Appl. Phys. Lett. 87 141916
[4] Lewandowski J J and Greer A L 2006 Nat. Mater. 5 15
[5] Zhang Y and Greer A L 2006 Appl. Phys. Lett. 89 071907
[6] Liu Y H, Wang G, Wang R J, Zhao D Q, Pan M X and Wang W H 2007 Science 315 1385
[7] Liu L F, Dai L H, Bai Y L and Ke F J 2008 Sci. Chin. G 51 1367
[8] Liu Y H, Liu C T, Wang W H, Inoue A, Sakurai T and Chen M W 2009 Phys. Rev. Lett. 103 065504
[9] Bai Y L and Dodd B 1992 Adiabatic Shear Localization: Occurrence, Theories and Applications (Oxford: Pergamon)
[10] Jiang M Q, Wang W H and Dai L H 2009 Scr. Mater. 60 1004
[11] Spaepen F 1977 Acta Metall. 25 407
[12] Argon A S 1979 Acta Metall. 27 47
[13] Donovan P E and Stobbs W M 1981 Acta Metall. 29 1419
[14] Li J, Spaepen F and Hufnagel T C 2002 Phil. Mag. 82 2623
Jiang W H and Atzmon M 2006 Scr. Mater. 54 333
Cao Q P, Li J F, Zhou Y H and Jiang J Z 2008 Scr. Mater. 59 673
[15] Shi Y and Falk M L 2005 Phys. Rev. Lett. 95 095502
Bailey N P, Schi\otz J and Jacobsen K W 2006 Phys. Rev. B 73 064108
Matsumoto R and Miyazaki N 2008 Scr. Mater. 59 107
[16] Wang J G, Zhao D Q, Pan M X, Wang W H, Song S X and Nieh T G 2010 Scr. Mater. 62 477
[17] Joshi S P and Ramesh K T 2008 Phys. Rev. Lett. 101 025501
[18] Huang R, Suo Z, Prvost J H and Nix W D 2002 J. Mech. Phys. Solids 50 1011
[19] Cohen M H and Turnbull D 1959 J. Chem. Phys. 31 1164
[20] Johnson W L and Samwer K 2005 Phys. Rev. Lett. 95 195501
[21] Mullins W W and Sekerka R F 1964 J. Appl. Phys. 35 444
Spaepen F 1975 Acta Metall. 23 615
Argon A S and Salama M 1976 Mater. Sci. Eng. 23 219
[22] Liu X J, Chen G L, Hui X, Liu T and Lu Z P 2008 Appl. Phys. Lett. 93 011911
[23] Pan D, Inoue A, Sakural T and Chen M W 2008 Proc. Natl. Acad. Sci. U. S. A. 105 14769
[24] Wang W H 2006 J. Appl. Phys. 99 093506
[25] Egami T, Poon S J, Zhang Z and Keppens V 2007 Phys. Rev. B 76 024203
2011, Vol. 28 
