Correlation between relaxations and plastic deformation, and elastic model of flow in metallic glasses and glass-forming liquids

Journal of Applied Physics

Volumn 110, Issue 5, 2011, Pages

  Wang, Wei Hua ^a  

^a INSTITUTE OF PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPLIED STRESS; ATOMIC SITES; CRITICAL PARAMETER; ELASTIC MODELS; ENERGY LANDSCAPE; FLOW ACTIVATION ENERGY; FLOW BASED; GLASS-FORMING LIQUID; INHOMOGENEOUS FLOW; POTENTIAL ENERGY LANDSCAPES; SECONDARY RELAXATIONS; SIMPLE EXPRESSION; SUPERCOOLED LIQUID STATE;

ACTIVATION ENERGY; ELASTIC MODULI; GLASS; GLASS FORMING MACHINES; GLASS TRANSITION; LIQUIDS; METALLIC GLASS; PLASTIC DEFORMATION; POTENTIAL ENERGY; STRESSES; SUPERCOOLING;

SHEAR FLOW;

EID: 80052951309     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3632972     Document Type: Conference Paper

References (113)

1. C. A. Angell, Science 267, 1924 (1995). 10.1126/science.267.5206.1924
2. G. Tammann, J. Soc. Glass Tech. 9, 166 (1925).
3. M. Goldstein, J. Chem. Phys. 51, 3728 (1969). 10.1063/1.1672587
4. P. G. Debenedetti and F. H. Stillinger, Nature 410, 259 (2001). 10.1038/35065704
5. M. H. Cohen and D. Turnbull, J. Chem. Phys. 31, 1164 (1959). 10.1063/1.1730566
6. G. Adam and J. H. Gibbs, J. Chem. Phys. 43, 139 (1965). 10.1063/1.1696442
7. J. C. Dyre, Rev. Mod. Phys. 78, 953 (2006). 10.1103/RevModPhys.78.953
8. S. V. Nemilov, Russ. J. Phys. Chem. 42, 2673 (1968).
9. A. L. Greer and E. Ma, MRS Bull. 32, 611 (2007). 10.1557/mrs2007.121
10. C. A. Schuh, T. C. Hufnagel, and U. Ramamurty, Acta Mater. 55, 4067 (2007). 10.1016/j.actamat.2007.01.052
11. A. S. Argon, Acta Metall. 27, 47 (1979). 10.1016/0001-6160(79)90055-5
12. F. Spaepen, Acta Metall. 25, 407 (1977). 10.1016/0001-6160(77)90232-2
13. W. L. Johnson and K. Samwer, Phys. Rev. Lett. 95, 195501 (2005). 10.1103/PhysRevLett.95.195501
14. J. J. Lewandowski, W. H. Wang, and A. L. Greer, Philos. Mag. Lett. 85, 77 (2005). 10.1080/09500830500080474
15. M. L. Falk and J. S. Langer, Phys. Rev. E 57, 7192 (1998). 10.1103/PhysRevE.57.7192
16. W. H. Wang, J Appl. Phys. 99, 093506 (2006). 10.1063/1.2193060
17. D. Pan, A. Inoue, T. Sakurai, and M. W. Chen, Proc. Natl. Acad. Sci. USA 105, 4769 (2008). 10.1073/pnas.0710581105
18. J. C. Dyre and N. B. Olsen, Phys. Rev. E 69, 042501 (2004). 10.1103/PhysRevE.69.042501
19. W. H. Wang, Prog. Mater. Sci. 52, 540 (2007). 10.1016/j.pmatsci.2006.07. 003
20. W. H. Wang, Adv. Mater. 21, 4524 (2009). 10.1002/adma.200901053
21. Q. Luo and W. H. Wang, J. Non-Cryst. Solids 355, 759 (2009). 10.1016/j.jnoncrysol.2009.02.006
22. G. P. Johari and M. Goldstein, J. Chem. Phys. 53, 2372 (1970). 10.1063/1.1674335
23. L. N. Hu and Y. Z. Yue, J. Phys. Chem. C 113, 15001 (2009). 10.1021/jp903777f
24. Z. F. Zhao, P. Wen, C. H. Shek, and W. H. Wang, Phys. Rev. B 75, 174201 (2007). 10.1103/PhysRevB.75.174201
25. R. E. Robertson, J. Chem. Phys. 44, 3950 (1966). 10.1063/1.1726558
26. H. Eyring, J. Chem. Phys. 4, 283 (1936). 10.1063/1.1749836
27. C. D. Xiao, J. Y. Jho, and J. A. F. Yee, Macromolec. 27, 2761 (1994). 10.1021/ma00088a017
28. H. B. Yu, W. H. Wang, H. Y. Bai, Y. Wu, and M. W. Chen, Phys. Rev. B 81, 220201 (2010). 10.1103/PhysRevB.81.220201
29. G. E. Dieter, Mechanical Metallurgy (McGraw-Hill, New York, 1988).
30. H. M. Chen, S. X. Song, J. C. Huang, H. S. Chou, J. S. C. Jang, and T. G. Nieh, Appl. Phys Lett. 94, 141914 (2009). 10.1063/1.3117508
31. K. W. Park, C. M. Lee, H. J. Kim, and J. C. Lee, Mater. Sci. Eng. A 499, 529 (2009). 10.1016/j.msea.2008.09.010
32. J. G. Wang, D. Q. Zhao, M. X. Pan, W. H. Wang, S. X. Song, and T. G. Nieh, Scripta Mater. 62, 477 (2010). 10.1016/j.scriptamat.2009.12.015
33. H. B. Ke, P. Wen, D. Q. Zhao, and W. H. Wang. Appl. Phys. Lett. 96, 251902 (2010). 10.1063/1.3455337
34. S. Li, R. J. Wang, M. X. Pan, D. Q. Zhao, and W. H. Wang, J. Non-Cryst. Solids 354, 1080 (2008). 10.1016/j.jnoncrysol.2007.08.022
35. K. W. Park, C. M. Lee, M. Wakeda, Y. Shibutani, M. L. Falk, and J. C. Lee, Acta Mater. 56, 5440 (2008). 10.1016/j.actamat.2008.07.033
36. P. D. Hey, J. Sietsma, and A. V. D. Beukel, Acta Mater. 46, 5873 (1998). 10.1016/S1359-6454(98)00234-1
37. N. Hirai and H. Eyring, J. Polymer Sci. 37, 51 (1959). 10.1002/pol.1959.1203713104
38. R. Busch, W. Liu, and W. L. Johnson, J Appl. Phys. 83, 4134 (1998). 10.1063/1.367167
39. R. Busch, Y. J. Kim, W. L. Johnson, A. J. Rulison, W. K. Rhim, and D. Isheim, Appl. Phys. Lett. 66, 3111 (1995). 10.1063/1.113619
40. W. N. Myung, H. Y. Bae, I. S. Hwang, H. G. Kim, N. Nishiyama, A. Inoue, and A. L. Green, Mater. Sci. Eng. A 304, 687 (2001). 10.1016/S0921-5093(00) 01567-7
41. H. S. Chen, H. Kato, A. Inoue, J. Saida, and N. Nishiyama, Appl. Phys. Lett. 79, 60 (2001). 10.1063/1.1381032
42. G. J. Fan, M. Freels, H. Choo, P. K. Liaw, P. K. J. J. Z. Li, W. Rhim, W. L. Johnson, and W. H. Wang, Appl. Phys. Lett. 89, 241917 (2006). 10.1063/1.2408634
43. Y. H. Liu, C. T. Liu, W. H. Wang, A. Inoue, T. Sakurai, and M. W. Chen, Phys. Rev. Lett. 103, 065504 (2009). 10.1103/PhysRevLett.103.065504
44. B. Yang, C. T. Liu, and T. G. Nieh, Appl. Phys. Lett. 88, 221911 (2006). 10.1063/1.2206099
45. W. H. Wang, J. Non-Cryst. Solids 351, 1481 (2005). 10.1016/j.jnoncrysol. 2005.03.024
46. J. Q. Wang, W. H. Wang, H. B. Yu, and H. Y. Bai, Appl. Phys. Lett. 94, 121904 (2009). 10.1063/1.3106110
47. S. G. Mayr, Phys. Rev. Lett. 97, 195501 (2006). 10.1103/PhysRevLett.97. 195501
48. H. N. Lee, K. Paeng, S. F. Swallen, and M. D. Ediger, Science 323, 231 (2009). 10.1126/science.1165995
49. J. S. Harmon, M. D. Demetriou, W. L. Johnson, and K. Samwer, Phys. Rev. Lett. 99, 135502 (2007). 10.1103/PhysRevLett.99.135502
50. A. J. Liu and S. R. Nagel, Nature 396, 21 (1998). 10.1038/23819
51. D. A. Weitz, Science 323, 214 (2009). 10.1126/science.1168304
52. P. F. Guan, M. W. Chen, and T. Egami, Phys. Rev. Lett. 104, 205701 (2010). 10.1103/PhysRevLett.104.205701
53. O. N. Senkov, Phys. Rev. B 76, 104202 (2007). 10.1103/PhysRevB.76.104202
54. K. L. Ngai and S. Capaccioli, Phys. Rev. E 69, 031501 (2004). 10.1103/PhysRevE.69.031501
55. Y. Li, P. Yu, and H. Y. Bai, J. Appl. Phys. 104, 013520 (2008). 10.1063/1.2948926
56. J. Lu, G. Ravichandran, and W. L. Johnson, Acta Mater. 51, 3429 (2003). 10.1016/S1359-6454(03)00164-2
57. M. Bletry, P. Guyot, J. J. Blandin, and J. L. Soubeyroux, Acta Mater. 54, 1257 (2006). 10.1016/j.actamat.2005.10.054
58. M. Heggen, F. Spaepen, and M. Feuerbacher, J. Appl. Phys. 97, 033506 (2004). 10.1063/1.1827344
59. B. Gun, K. J. Laws, and M. Ferry, J. Non-Cryst. Solids 352, 3896 (2006). 10.1016/j.jnoncrysol.2006.06.023
60. K. S. Lee, H. J. Jun, S. Pauly, B. Bartusch, Y. W. Chang, and J. Eckert, Intermetall. 17, 65 (2009). 10.1016/j.intermet.2008.09.011
61. Y. Kawamura, T. Nakamura, and A. Inoue, Scripta Mater. 39, 301 (1998). 10.1016/S1359-6462(98)00163-8
62. Y. Kawamura, T. Nakamura, and A. Inoue, Mater. Trans. JIM. 40, 794 (1999).
63. J. D. Eshelby, Proc. Roy. Soc. London 241, 376 (1957). 10.1098/rspa.1957.0133
64. K. Zhao, X. X. Xia, H. Y. Bai, D. Q. Zhao, and W. H. Wang, Appl. Phys. Lett. 98, 141913 (2011). 10.1063/1.3575562
65. P. Wen, D. Q. Zhao, M. X. Pan, and W. H. Wang, Appl. Phys. Lett. 84, 2790 (2004). 10.1063/1.1699467
66. J. M. Pelletier, B. Van de Moortele, and I. R. Lu, Mater. Sci. Eng. A 336, 190 (2002). 10.1016/S0921-5093(01)01967-0
67. J. Schroers, B. Lohwongwatana, A. Peker, and W. L. Johnson, Appl. Phys. Lett. 87, 061912 (2005). 10.1063/1.2008374
68. J. F. Li, D. Q. Zhao, and W. H. Wang, Appl. Phys. Lett. 93, 171907 (2008). 10.1063/1.2998262
69. B. Zhang, D. Q. Zhao, M. X. Pan, W. H. Wang, and A. L. Greer, Phys. Rev. Lett. 94, 205502 (2005). 10.1103/PhysRevLett.94.205502
70. Y. T. Wang, H. Y. Bai, and W. H. Wang, Sci. China G 51, 337 (2008). 10.1007/s11433-008-0053-2
71. X. J. Gu, A. G. McDermott, S. J. Poon, and G. J. Shiflet, Appl. Phys. Lett. 88, 211905 (2006). 10.1063/1.2206149
72. M. D. Demetriou, D. C. Hofmann, H. Kozachkov, A. Wiest, J. P. Schramm, and W. L. Johnson, Appl. Phys. Lett. 95, 041907 (2009). 10.1063/1.3184792
73. U. Harms, O. Jin, and R. B. Schwarz, J. Non-Cryst. Solids 317, 200 (2003). 10.1016/S0022-3093(02)02010-0
74. Y. H. Liu, G. Wang, R. J. Wang, D. Q. Zhao, M. X. Pan, and W. H. Wang, Science 315, 1385 (2007). 10.1126/science.1136726
75. T. Ichitsubo, E. Matsubara, T. Yamamoto, H. S. Chen, N. Nishiyama, J. Saida, and K. Anazawa, Phys. Rev. Lett. 95, 245501 (2005). 10.1103/PhysRevLett. 95.245501
76. J. G. Wang, D. Q. Zhao, M. X. Pan, C. H. Shek, and W. H. Wang, Appl. Phys. Lett. 94, 031904 (2009). 10.1063/1.3073985
77. M. Reiner. Phys. Today. 17 (1), 62 (1964). 10.1063/1.3051374
78. D. J. Wales, Energy Landscapes (Cambridge University Press, Cambridge, 2003).
79. F. H. Stillinger. Science 267, 1935 (1995). 10.1126/science.267.5206.1935
80. J. Frenkel, Z. Phys. 37, 572 (1926). 10.1007/BF01397292
81. J. Q. Wang, W. H. Wang, and H. Y. Bai, J. Non-Cryst. Solids 357, 223 (2011). 10.1016/j.jnoncrysol.2010.09.015
82. J. Q. Wang, W. H. Wang, Y. H. Liu, and H. Y. Bai, Phys Rev. B 83, 012201 (2011). 10.1103/PhysRevB.83.012201
83. E.S.R. Gopal, Specific Heats at Low Temperatures (Plenum, New York, 1966).
84. M. L. Falk, Phys. Rev. B 60, 7062 (1999). 10.1103/PhysRevB.60.7062
85. F. Spaepen, Nature Mater. 5, 7 (2006). 10.1038/nmat1552
86. B. Zhang, H. Y. Bai, Y. Wu, and W. H. Wang, Phys. Rev. B 76, 012201 (2007). 10.1103/PhysRevB.76.012201
87. H. B. Ke, P. Wen, W. H. Wang, and A. L. Greer, Scripta Mater. 64, 966 (2011). 10.1016/j.scriptamat.2011.01.047
88. L. Sun, M. Q. Jiang, and L. H. Dai, Scripta Mater. 63, 945 (2010). 10.1016/j.scriptamat.2010.07.011
89. T. Egami, S. J. Poon, Z. Zhang, and V. Keppens, Phys. Rev. B 76, 024203 (2007). 10.1103/PhysRevB.76.024203
90. L. Battezzati, A. Castellero, and P. Rizzi, J. Non-Cryst. Solids 353, 3318 (2007). 10.1016/j.jnoncrysol.2007.05.121
91. H. S. Chen, Appl. Phys. Lett. 29, 328 (1976). 10.1063/1.89084
92. A. Concustell, F. O. Méar, S. Suriach, M. D. Bar, and A. L. Greer, Philos. Mag. Lett. 89, 831 (2009). 10.1080/09500830903337919
93. S. S. Tsao and F. Spaepen, Acta Metall. 33, 881 (1985). 10.1016/0001-6160(85)90112-9
94. W. H. Wang, Z. X. Bao, and J. Eckert, Phys. Rev. B 61, 3166 (2000). 10.1103/PhysRevB.61.3166
95. L. M. Wang, W. H. Wang, R. J. Wang, Z. J. Zhan, D. Y. Dai, L. L. Sun, and W. K. Wang, Appl. Phys. Lett. 77, 1147 (2000). 10.1063/1.1289801
96. D. W. Taylor, Fundamentals of Soil Mechanics (Wiley, New York, 1948).
97. D. Deng and B. Lu, Scripta Metall. 17, 515 (1983). 10.1016/0036-9748(83) 90343-5
98. A. S. Argon, J. Megusar, and N. J. Grant, Scripta Metall. 19, 591 (1985). 10.1016/0036-9748(85)90343-6
99. W. H. Wang, R. J. Wang, F. Y. Li, D. Q. Zhao, and M. X. Pan, Appl. Phys. Lett. 74, 1803 (1999). 10.1063/1.123091
100. B. Zhang, D. Q. Zhao, M. X. Pan, R, J. Wang, and W. H. Wang. Acta Mater. 54, 3025 (2006). 10.1016/j.actamat.2006.02.044
101. W. H. Wang, P. Wen, and R. J. Wang, J. Mater. Res. 18, 2747 (2003). 10.1557/JMR.2003.0382
102. X. F. Liu and W. H. Wang, Scripta Mater. 62, 254 (2010). 10.1016/j.scriptamat.2009.11.010
103. T. Ichitsubo, W. Itaka, E. Matsubara, H. Kato, S. Biwa, S. Hosokawa, K. Matsuda, J. Saida, and A.Q.R. Baron, Phys. Rev. B 81, 172201 (2010). 10.1103/PhysRevB.81.172201
104. J. D. Plummer and I. Todd, Appl. Phys. Lett. 98, 021907 (2011). 10.1063/1.3540652
105. V. N. Novikov and A. P. Sokolov. Phys. Rev. B 74, 064203 (2006).
106. S. J. Poon, A. Zhu, and G. J. Shiflet, Appl. Phys. Lett. 92, 261902 (2008). 10.1063/1.2952827
107. Z. Lu and J. Li, Appl. Phys. Lett. 94, 061913 (2009). 10.1063/1.3081028
108. M. R. Barrer, Trans. Faraday Soc. 39, 48 (1943). 10.1039/tf9433900048
109. O. N. Senkov, Phys. Rev. B 76, 104202 (2007). 10.1103/PhysRevB.76.104202
110. Q. G. Meng, S. G. Zhang, M. X. Xia, J. G. Li, and J. K. Zhou, Appl. Phys. Lett. 90, 031910 (2007). 10.1063/1.2432167
111. M. D. Memetriou, G. Kaltenboeck, J. Y. Suh, G. Garrett, M. Floyd, C. Crewdson, D. C. Hofmann, H. Kozachkov, A. Wiest, J. P. Schramm, and W. L. Johnson, Appl. Phys. Lett. 95, 041907 (2009). 10.1063/1.3184792
112. Y. Wang, H. R. Geng, and Z. X. Yang, J. Non-Cryst. Solids 354, 3984 (2008). 10.1016/j.jnoncrysol.2008.05.017
113. F. Spaepen, Nature Mater. 5, 7 (2006). 10.1038/nmat1552