Simulating the mechanical response of amorphous solids using atomistic methods

European Physical Journal B

Volumn 75, Issue 4, 2010, Pages 405-413

  Falk, M L ^a   Maloney, C E ^b  

^a Johns Hopkins University   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AMORPHOUS SOLIDS; ATOMIC SCALE PHENOMENA; ATOMIC-SCALE SIMULATIONS; ATOMISTIC METHODS; COMPUTATIONAL APPROACH; CONSTITUTIVE THEORY; MECHANICAL RESPONSE; THEORETICAL APPROACH;

EID: 77954620244     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2010-00157-7     Document Type: Conference Paper

References (113)

1. R. Hill, The Mathematical Theory of Plasticity (Clarendon Press, Oxford, 1950)
2. L. Malvern, Introduction to the Mechanics of a Continuous Medium (Prentice Hall, New York, 1969)
3. J. Lubliner, The Theory of Plasticity (Macmillan, New York, 1990)
4. G. Maugin, The thermomechanics of nonlinear irreversible behaviors: an introduction (World Scientific Pub Co Inc, Singapore, 1999)
5. S. Nemat-Nasser, Plasticity: a treatise on the finite deformation of heterogeneous inelastic materials (Cambridge Univ Press, Cambridge, 2004)
6. V. Bulatov, F. Abraham, L. Kubin, B. Devincre, S. Yip, Nature 391, 669 (1998)
7. N. Ghoniem, S. Tong, L. Sun, Phys. Rev. B 61, 913 (2000)
8. J. El-Awady, S. Biner, N. Ghoniem, J. Mech. Phys. Solids 56, 2019 (2008)
9. R. Hill, J Mech. Phys. Solids 14, 95 (1966)
10. J. Langer, E. Bouchbinder, T. Lookman, Acta Mat., in press (2010)
11. J. Langer, M. Falk, Annual Review of Condensed Matter Physics, in press (2010)
12. F. Spaepen, Acta Met. 25, 407 (1977)
13. D. Turnbull, M. Cohen, J. Chem. Phys. 52, 3038 (1970)
14. A. Argon, H. Kuo, Rapidly Quenched Metals III 2, 269 (1978)
15. A. Argon, H. Kuo, Mat. Sci. Eng. 39, 101 (1979)
16. A. Argon, Acta Met. 27, 47 (1979)
17. K. Maeda, S. Takeuchi, Phys. Stat. Sol. A 49, 685 (1978)
18. G. Wahnstrom, Phys. Rev. A 44, 3752 (1991)
19. S. Kobayashi, K. Maeda, S. Takeuchi, Acta Met. 28, 1641 (1980)
20. D. Srolovitz, K. Maeda, V. Vitek, T. Egami, Phil. Mag. 44, 847 (1981)
21. D. Srolovitz, V. Vitek, T. Egami, Acta Met. 31, 335 (1983)
22. D. Deng, A. Argon, S. Yip, Philos. Trans. R. Soc. Lond. A 329, 549 (1989)
23. D. Deng, A. Argon, S. Yip, Philos. Trans. R. Soc. Lond. A 329, 575 (1989)
24. D. Deng, A. Argon, S. Yip, Philos. Trans. R. Soc. Lond. A 329, 595 (1989)
25. D. Deng, A. Argon, S. Yip, Philos. Trans. R. Soc. Lond. A 329, 613 (1989)
26. K. Maeda, S. Takeuchi, Philos. Mag. 44, 643 (1981)
27. M. Allen, D. Tildesley, Computer Simulation of Liquids (Oxford Science Publications, 1989)
28. M. Falk, J. Langer, Phys. Rev. E 57, 7192 (1998)
29. Y. Shi, M. Katz, H. Li, M. Falk, Phys. Rev. Lett. 98, 185505 (2007)
30. N. Bailey, J. Schiotz, K. Jacobsen, Phys. Rev. B 73, 064108 (2006)
31. K. Brinkmann, H. Teichler, Phys. Rev. B 66, 184205 (2002)
32. F. Albano, N. Lacevic, M. Falk, S. Glotzer, Mat. Sci. Eng. A 375-77, 671 (2004)
33. F. Albano, M. Falk, J. Chem. Phys. 122, 154508 (2005)
34. J. Lee, K. Park, K. Kim, E. Fleury, B. Lee, M. Wakeda, Y. Shibutani, J Mat. Res. 22, 3087 (2007)
35. Y. Cheng, A. Cao, H. Sheng, E. Ma, Acta Mat. 56, 5263 (2008)
36. Y. Shi, M. Falk, Phys. Rev. Lett. 95, 095502 (2005)
37. Y. Shi, M. Falk, Phys. Rev. B 73, 214201 (2006)
38. Y. Shi, M. Falk, Scripta Mat. 54, 381 (2006)
39. Q. Li, M. Li, Mat. Trans. 48, 1816 (2007)
40. M. Mendelev, R. Ott, M. Heggen, M. Feuerebacher, M. Kramer, D. Sordelet, J. Appl. Phys. 104, 123532 (2008)
41. F. Li, X. Liu, H. Hou, G. Chen, G. Chen, M. Li, Intermetallics 17, 98 (2009)
42. C. Donati, J. Douglas, W. Kob, S. Plimpton, P. Poole, S. Glotzer, Phys. Rev. Lett. 80, 2338 (1998)
43. S. Glotzer, V. Novikov, T. Schroder, J. Chem. Phys. 112, 509 (2000)
44. W. Kob, C. Donati, S. Plimpton, P. Poole, S. Glotzer, Phys. Rev. Lett. 79, 2827 (1997)
45. M. Hurley, P. Harrowell, Phys. Rev. E 52, 1694 (1995)
46. E. Weeks, J. Crocker, A. Levitt, A. Schofield, D. Weitz, Science 287, 627 (2000)
47. P. Chaudhuri, L. Berthier, W. Kob, Phys. Rev. Lett. 99, 060604 (2007)
48. J. Langer, Phys. Rev. E 78, 051115 (2008)
49. J. Langer, S. Mukhopadhyay, Phys. Rev. E 77, 061505 (2008)
50. R. Yamamoto, A. Onuki, Phys. Rev. E 58, 3515 (1998)
51. C. Maloney, A. Lemaitre, Phys. Rev. Lett. 93, 016001 (2004)
52. C. Maloney, A. Lemaitre, Phys. Rev. E 74, 016118 (2006)
53. A. Tanguy, F. Leonforte, J. Barrat, Eur. Phys. J. E 20, 355 (2006)
54. V. Bulatov, A. Argon, Model. Sim. Mat. Sci. Eng. 2, 203 (1994)
55. S. Ramanathan, D. Ertas, D. Fisher, Phys. Rev. Lett. 79, 873 (1997)
56. J. Baret, D. Vandembroucq, S. Roux, Phys. Rev. Lett. 89, 195506 (2002)
57. A. Onuki, Phys. Rev. E 68, 061502 (2003)
58. G. Picard, A. Ajdari, F. Lequeux, L. Bocquet, Phys. Rev. E 71 (2005)
59. C. Maloney, M. Robbins, J. Phys. Cond. Mat. 20, 244128 (2008)
60. F. Leonforte, A. Tanguy, J. Wittmer, J. Barrat, Phys. Rev. B 70 (2004)
61. F. Leonforte, R. Boissiere, A. Tanguy, J. Wittmer, J. Barrat, Phys. Rev. B 72 (2005)
62. A. Tanguy, J. Wittmer, F. Leonforte, J. Barrat, Phys. Rev. B 66, 174205 (2002)
63. F. Leonforte, A. Tanguy, J. Wittmer, J. Barrat, Phys. Rev. Lett. 97 (2006)
64. C. Maloney, Phys. Rev. Lett. 97, 035503 (2006)
65. C. Goldenberg, A. Tanguy, J. Barrat, EPL 80 (2007)
66. J. Lutsko, J. Appl. Phys. 65, 2991 (1989)
67. K. Yoshimoto, T. Jain, K. Workum, P. Nealey, J. de Pablo, Phys. Rev. Lett. 93, 175501 (2004)
68. A. Widmer-Cooper, H. Perry, P. Harrowell, D. Reichman, Nat. Phys. 4, 711 (2008)
69. H. Schober, C. Oligschleger, B. Laird, J. Non-Cryst. Sol. 156, 965 (1993)
70. H. Schober, C. Oligschleger, Phys. Rev. B 53, 11469 (1996)
71. H. Shintani, H. Tanaka, Nature Mat. 7, 870 (2008)
72. M. Tsamados, A. Tanguy, C. Goldenberg, J. Barrat, Phys. Rev. E 80 (2009)
73. H. Eyring, J. Chem. Phys. 4, 283 (1936)
74. J. Langer, Scripta Mat. 54, 375 (2006)
75. J. Langer, Phys. Rev. E 77, 021502 (2008)
76. T. Haxton, A. Liu, Phys. Rev. Lett. 99, 195701 (2007)
77. M. Falk, J. Langer, L. Pechenik, Phys. Rev. E 70, 011507 (2004)
78. M. Falk, M. Toiya, W. Losert, preprint [arXiv:0802.1752] (2008)
79. E. Bouchbinder, J. Langer, I. Procaccia, Phys. Rev. E 75, 036107 (2007)
80. E. Bouchbinder, J. Langer, I. Procaccia, Phys. Rev. E 75, 036108 (2007)
81. P. Sollich, F. Lequeux, P. Hebraud, M. Cates, Phys. Rev. Lett. 78, 2020 (1997)
82. P. Sollich, Phys. Rev. E 58, 738 (1998)
83. P. Sollich, in Molecular Gels: Materials with Self-Assembled Fibrillar Networks, edited by R. Weiss, P. Terech (Springer, Dordrecht, 2006), pp. 161-192
84. S. Fielding, M. Cates, P. Sollich, Soft Matter 5, 2378 (2009)
85. M. Cates, P. Sollich, J. Rheol. 48, 193 (2004)
86. F. Varnik, L. Bocquet, J. Barrat, J. Chem. Phys. 120, 2788 (2004)
87. J. Rottler, M. Robbins, Phys. Rev. E 68, 011507 (2003)
88. J. Rottler, M. Robbins, Phys. Rev. Lett. 95, 225504 (2005)
89. C. Schuh, A. Lund, Nature Mat. 2, 449 (2003)
90. A. Lund, C. Schuh, Acta Mat. 51, 5399 (2003)
91. Y. Cheng, A. Cao, E. Ma, Acta Mat. 57, 3253 (2009)
92. J. Lewandowski, A. Greer, Nature Mat. 5, 15 (2006)
93. F. Varnik, L. Bocquet, J. Barrat, L. Berthier, Phys. Rev. Lett. 90, 095702 (2003)
94. Q. Li, M. Li, Appl. Phys. Lett. 87, 031910 (2005)
95. A. Cao, Y. Cheng, E. Ma, Acta Mat. 57, 5146 (2009)
96. Y. Shi, M. Falk, Appl. Phys. Lett. 86, 011914 (2005)
97. Y. Shi, M. Falk, Acta Mat. 55, 4317 (2007)
98. Q. Li, M. Li, Appl. Phys. Lett. 88, 241903 (2006)
99. M. Manning, J. Langer, J. Carlson, Phys. Rev. E 76, 056106 (2007)
100. M. Manning, E. Daub, J. Langer, J. Carlson, Phys. Rev. E 79, 16110 (2009)
101. M. Hutnik, F. Gentile, P. Ludovice, U. Suter, A. Argon, Macromolecules 24, 5962 (1991)
102. M. Hutnik, A. Argon, U. Suter, Macromolecules 26, 1097 (1993)
103. A. Argon, V. Bulatov, P. Mott, U. Suter, J. Rheol. 39, 377 (1995)
104. J. Rottler, M. Robbins, Phys. Rev. E 6405, 051801 (2001)
105. R. Hoy, M. Robbins, Phys. Rev. Lett. 99, 117801 (2007)
106. R. Hoy, M. Robbins, Phys. Rev. E 77, 31801 (2008)
107. M. Demkowicz, A. Argon, Phys. Rev. Lett. 93, 25505 (2004)
108. M. Demkowicz, A. Argon, Phys. Rev. B 72, 245205 (2005)
109. M. Demkowicz, A. Argon, Phys. Rev. B 72, 245206 (2005)
110. M. Demkowicz, A. Argon, D. Farkas, M. Frary, Phil. Mag. 87, 4253 (2007)
111. A. Lemaitre, C. Caroli, Phys. Rev. Lett. 103, 065501 (2009)
112. H. G. E. Hentschel, S. Karmakar, E. Lerner, I. Procaccia, Phys. Rev. Lett. 104, 025501 (2010)
113. Y. Shi, Appl. Phys. Lett. 96, 121909 (2010)