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Amorphous solids are metastable materials formed by the rapid quenching of liquid melts. Under mechanical stress, amorphous solid displays unique and complex plastic flow behavior, which is both spatially and temporally inhomogeneous on different length scales. In some cases, the plastic flow behavior of amorphous solid can evolve into the self-organized critical state, which is similar to many complex phenomena in nature and physics such as earthquakes, snow avelanches, motions of magnetic walls, etc. In this paper, we briefly review the recent research progress of the plastic flows of amorphous solids, with an emphasis on the plastic flow of metallic glass which has been one of our research foci in past few years. The review begins with an introduction of the inhomogeneous flow behaviors on different scales, from the macroscopical-scale spatially inhomogeous shear bands, temporally intermittent serrated flow to the atomic-scale localized viscoelastic behavior in metallic glass. The microscopical deformation theories including free volume model and shear transformation zone model, and recent efforts to elucidate macrosopical flow behaviors with these theories, are also presented. Finally, recent progress of the self-organized critical (SOC) behaviors of the plastic flow of metallic glass are reviewed, with an emphasis on its experimental characterizations and the underlying physics. The emergence of SOC in the plastic flow is closely related to the interactions between plastic flow carriers, and based on this point, the relation between the SOC behavior and the plasticity of metallic glass is elucidated. The implications of plastic flow of metallic glass for understanding the occurence of earthquakes are also discussed. The review is also concluded with some perspertives and unsolved issues for the plastic flow of amorphous solids.
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Keywords:
- amorphous solids /
- plastic flow /
- self-organized criticality /
- chaos
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[2] Klement W, Willens R, Duwez P 1960 Nature 187 869
[3] Wang W H, Dong C, Shek C H 2004 Mater. Sci. Eng. R 44 55
[4] Greer A L 1995 Science 267 1947
[5] Ma Y F, Tang B Z, Xia L, Ding D 2016 Chin. Phys. Lett. 33 126101
[6] Inoue A 2000 Acta Mater. 48 279
[7] Schuh C A, Hufnag T C, Ramamurty U 2007 Acta Mater. 55 4067
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[9] Sun B A 2010 Ph. D. Dissertation (Beijing: Chinese Academy of Science) (in Chinese) [孙保安 2010 博士学位论文(北京: 中国科学院]
[10] Spaepen F 1977 Acta Metall. 25 407
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[12] Greer A L, Cheng Y Q, Ma E 2013 Mater. Sci. Eng. R 74 71
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[18] Ye J C, Lu J, Liu C T, Yang Y 2010 Nat. Mater. 9 619
[19] Demetriou M D, Launey M E, Garrett G, Schramm J P, Hoffmann D C, Johnson W L, Ritchie R O 2011 Nat. Mater. 10 123
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[22] Lu Z, Jiao W, Wang W H, Bai H Y 2014 Phys. Rev. Lett. 113 045501
[23] Huo L S, Zeng J F, Wang W H, Liu C T, Yang Y 2013 Acta Mater. 61 4329
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[25] Wang Z, Qiao J W, Tian H, Sun B A, Wang B C, Xu B S, Chen M W 2015 Appl. Phys. Lett. 107 201902
[26] Song S X, Bei H, Wadsworth J, Nieh T G 2008 Intermetallics 16 813
[27] Sun B A, Pauly S, Hu J, Wang W H, Kuhn U, Eckert J 2013 Phys. Rev. Lett. 110 225501
[28] Dubach A, Torre F H D, Löffler J F 2009 Acta Mater. 57 881
[29] Hu J, Sun B A, Yang Y, Liu C T, Pauly S, Weng Y X, Eckert J 2015 Intermetallics 66 31
[30] Qiao J W, Zhang Y, Liaw P K 2010 Intermetallics 18 2057
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[32] Johnson W L, Samwer K 2005 Phys. Rev. Lett. 95 195501
[33] Falk M L, Langer J S 1997 Phys. Rev. E 57 7192
[34] Langer J S 2004 Phys. Rev. E 70 041502
[35] Wang W H, Yang Y, Nieh T G, Liu C T 2015 Intermetallics 67 81
[36] Manning M L, Langer J S, Carlson J M 2007 Phys. Rev. E 76 056106
[37] Sun B A, Yang Y, Wang W H, Liu C T 2016 Sci. Rep. 6 21388
[38] Furukawa A, Tanaka H 2009 Nat. Mater. 8 601
[39] Bak P, Tang C, Wiesenfeld K 1987 Phys. Rev. Lett. 59 381
[40] Bak P 1996 How Nature Works: The Science of Self-Organized Criticality (New York: Copernicus Press) p10
[41] Sammonds 2005 Nat. Mater. 4 425
[42] Ananthakrishna G, Noronha J, Fressengeas C, Kubin L P 1999 Phys. Rev. E 60 5455
[43] Ren J L, Chen C, Wang G, Mattern N, Eckert J 2011 AIP Adv. 1 032158
[44] Wang G, Chan K C, Xia L, Yu P, Shen J, Wang W H 2009 Acta Mater. 57 6146
[45] Cannelli C, Cantelli R, Cordero F 1993 Phys. Rev. Lett. 70 3923
[46] Sarmah R, Ananthakrishna G, Sun B A, Wang W H 2011 Acta Mater. 59 4482
[47] Sun B A, Wang W H 2011 Appl. Phys. Lett. 98 201902
[48] Peng H L, Li M Z, Sun B A, Wang W H 2012 J. Appl. Phys. 112 023516
[49] Maloney C, Lemaitre A 2004 Phys. Rev. E 74 016118
[50] Dasgupta R, George H, Hentschel E, Procaccia I 2012 Phys. Rev. Lett. 109 255502
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[1] Wang W H 2013 Prog. Phys. 33 177 (in Chinese) [汪卫华 2013 物理学进展 33 177]
[2] Klement W, Willens R, Duwez P 1960 Nature 187 869
[3] Wang W H, Dong C, Shek C H 2004 Mater. Sci. Eng. R 44 55
[4] Greer A L 1995 Science 267 1947
[5] Ma Y F, Tang B Z, Xia L, Ding D 2016 Chin. Phys. Lett. 33 126101
[6] Inoue A 2000 Acta Mater. 48 279
[7] Schuh C A, Hufnag T C, Ramamurty U 2007 Acta Mater. 55 4067
[8] Sun B A, Yu H B, Zhao D Q, Bai H Y, Wang W H 2010 Phys. Rev. Lett. 105 035501
[9] Sun B A 2010 Ph. D. Dissertation (Beijing: Chinese Academy of Science) (in Chinese) [孙保安 2010 博士学位论文(北京: 中国科学院]
[10] Spaepen F 1977 Acta Metall. 25 407
[11] Chen M W, Inoue A, Zhang W, Sakurai T 2006 Phys. Rev. Lett. 96 245502
[12] Greer A L, Cheng Y Q, Ma E 2013 Mater. Sci. Eng. R 74 71
[13] Argon A S 1979 Acta Mater. 27 47
[14] Lewandowski J J, Greer A L 2005 Nat. Mater. 5 18
[15] Wright W J, Samale M W, Hufnagel, LeBlanc M M, Florando J N 2011 Acta Mater. 57 4639
[16] Bruck H A, Rosakis A J, Johnson W L 1996 J. Mater. Res. 11 503
[17] Jiang W H, Liao H H, Liu F X, Choo H, Liaw P K 2008 Metall. Mater. Trans A 39 1822
[18] Ye J C, Lu J, Liu C T, Yang Y 2010 Nat. Mater. 9 619
[19] Demetriou M D, Launey M E, Garrett G, Schramm J P, Hoffmann D C, Johnson W L, Ritchie R O 2011 Nat. Mater. 10 123
[20] Jiang M Q, Lan H D 2009 J. Mech. Phys. Solids 57 1267
[21] Park K W, Lee C M, Wakeda M, Shibutani Y, Falk M L, Lee J C 2008 Acta Mater. 56 5440
[22] Lu Z, Jiao W, Wang W H, Bai H Y 2014 Phys. Rev. Lett. 113 045501
[23] Huo L S, Zeng J F, Wang W H, Liu C T, Yang Y 2013 Acta Mater. 61 4329
[24] Schuh C A, Nieh T G 2003 Acta Mater. 51 87
[25] Wang Z, Qiao J W, Tian H, Sun B A, Wang B C, Xu B S, Chen M W 2015 Appl. Phys. Lett. 107 201902
[26] Song S X, Bei H, Wadsworth J, Nieh T G 2008 Intermetallics 16 813
[27] Sun B A, Pauly S, Hu J, Wang W H, Kuhn U, Eckert J 2013 Phys. Rev. Lett. 110 225501
[28] Dubach A, Torre F H D, Löffler J F 2009 Acta Mater. 57 881
[29] Hu J, Sun B A, Yang Y, Liu C T, Pauly S, Weng Y X, Eckert J 2015 Intermetallics 66 31
[30] Qiao J W, Zhang Y, Liaw P K 2010 Intermetallics 18 2057
[31] Maloney C, Lemaitre A 2004 Phys. Rev. Lett. 93 016001
[32] Johnson W L, Samwer K 2005 Phys. Rev. Lett. 95 195501
[33] Falk M L, Langer J S 1997 Phys. Rev. E 57 7192
[34] Langer J S 2004 Phys. Rev. E 70 041502
[35] Wang W H, Yang Y, Nieh T G, Liu C T 2015 Intermetallics 67 81
[36] Manning M L, Langer J S, Carlson J M 2007 Phys. Rev. E 76 056106
[37] Sun B A, Yang Y, Wang W H, Liu C T 2016 Sci. Rep. 6 21388
[38] Furukawa A, Tanaka H 2009 Nat. Mater. 8 601
[39] Bak P, Tang C, Wiesenfeld K 1987 Phys. Rev. Lett. 59 381
[40] Bak P 1996 How Nature Works: The Science of Self-Organized Criticality (New York: Copernicus Press) p10
[41] Sammonds 2005 Nat. Mater. 4 425
[42] Ananthakrishna G, Noronha J, Fressengeas C, Kubin L P 1999 Phys. Rev. E 60 5455
[43] Ren J L, Chen C, Wang G, Mattern N, Eckert J 2011 AIP Adv. 1 032158
[44] Wang G, Chan K C, Xia L, Yu P, Shen J, Wang W H 2009 Acta Mater. 57 6146
[45] Cannelli C, Cantelli R, Cordero F 1993 Phys. Rev. Lett. 70 3923
[46] Sarmah R, Ananthakrishna G, Sun B A, Wang W H 2011 Acta Mater. 59 4482
[47] Sun B A, Wang W H 2011 Appl. Phys. Lett. 98 201902
[48] Peng H L, Li M Z, Sun B A, Wang W H 2012 J. Appl. Phys. 112 023516
[49] Maloney C, Lemaitre A 2004 Phys. Rev. E 74 016118
[50] Dasgupta R, George H, Hentschel E, Procaccia I 2012 Phys. Rev. Lett. 109 255502
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