Strain localization in a shear transformation zone model for amorphous solids

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 5, 2007, Pages

  Manning, M L ^a   Langer, J S ^a   Carlson, J M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; MEAN FIELD THEORY; SHEAR BANDS; SHEAR DEFORMATION; STRAIN CONTROL; STRAIN RATE;

NONLINEAR ENERGY DISSIPATION PROCESSES; STRAIN LOCALIZATION;

AMORPHOUS MATERIALS;

EID: 36148944010     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.056106     Document Type: Article

References (49)

1. A. Anandarajah, K. Sobhan, and N. Kuganenthira, J. Geotech. Engrg. JGENDZ 0733-9410 10.1061/(ASCE)0733-9410(1995)121:1(57) 121, 57 (1995).
2. J. Lauridsen, M. Twardos, and M. Dennin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.098303 89, 098303 (2002).
3. J. Lu, G. Ravichandran, and W. Johnson, Acta Mater. ACMAFD 1359-6454 10.1016/S1359-6454(03)00164-2 51, 3429 (2003).
4. D. Fenistein and M. Van Hecke, Nature (London) NATUAS 0028-0836 10.1038/425256a 425, 256 (2003).
5. J.-C. Tsai and J. P. Gollub, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.051304 72, 051304 (2005).
6. A. Kabla and G. Debrégeas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.258303 90, 258303 (2003).
7. R. Mair and P. Callaghan, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1996-00293-9 36, 719 (1996).
8. R. Makhloufi, J. Decruppe, A. Ait-Ali, and R. Cressely, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/32/3/011 32, 253 (1995).
9. W. Johnson, J. Lu, and M. Demetriou, Intermetallics IERME5 0966-9795 10.1016/S0966-9795(02)00160-7 10, 1039 (2002).
10. C. Marone, C. Raleigh, and C. Scholz, J. Geophys. Res. JGREA2 0148-0227 95, 7007 (1990).
11. F. Spaepen, Acta Metall. AMETAR 0001-6160 10.1016/0001-6160(77)90232-2 25, 407 (1977).
12. A. Argon, Acta Metall. AMETAR 0001-6160 10.1016/0001-6160(79)90055-5 27, 47 (1979).
13. V. V. Bulatov and A. S. Argon, Modell. Simul. Mater. Sci. Eng. MSMEEU 0965-0393 2, 1994 (1994).
14. M. L. Falk and J. S. Langer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.7192 57, 7192 (1998).
15. E. Bouchbinder, J. Langer, and I. Procaccia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.036108 75, 036108, (2007).
16. M. Falk and J. Langer, MRS Bull. MRSBEA 0883-7694 25, 40 (2000).
17. L. Pechenik, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.021507 72, 021507 (2005).
18. Y. Shi, M. B. Katz, H. Li, and M. Falk, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.185505 98, 185505 (2007).
19. F. Varnik, L. Bocquet, J.-L. Barrat, and L. Berthier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.095702 90, 095702 (2003).
20. N. Xu, C. S. O'Hern, and L. Kondic, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.041504 72, 041504 (2005).
21. J. Dieterich, Pure Appl. Geophys. PAGYAV 0033-4553 10.1007/BF00876539 116, 790 (1978).
22. A. Ruina, J. Geophys. Res. JGREA2 0148-0227 88, 10359 (1983).
23. M. Bazant, Mech. Mater. MSMSD3 0167-6636 10.1016/j.mechmat.2005.06.016 38, 717 (2006).
24. P. Sollich, F. Lequeux, P. Hébraud, and M. E. Cates, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2020 78, 2020 (1997).
25. J. S. Langer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.041502 70, 041502 (2004).
26. A. Mehta and S. Edwards, Physica A PHYADX 0378-4371 10.1016/0378-4371(89) 90035-6 157, 1091 (1989).
27. L. F. Cugliandolo, J. Kurchan, and L. Peliti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.3898 55, 3898 (1997).
28. I. K. Ono, C. S. O'Hern, D. J. Durian, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.095703 89, 095703 (2002).
29. C. S. O' Hern, A. J. Liu, and S. P. Nagel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.165702 93, 165702 (2004).
30. D. Griggs and D. Baker, Properties of Matter Under Unusual Conditions (Wiley/Intersciences, New York, 1969), pp. 23-42.
31. J. Lewandowski and A. Greer, Nat. Mater. NMAACR 1476-1122 10.1038/nmat1536 5, 15 (2005).
32. S. Braeck and Y. Y. Podladchikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.095504 98, 095504 (2007).
33. A. Lemaitre, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 195503 89, 195503 (2002).
34. C. Maloney and A. Lemaître, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.016001 93, 016001 (2004).
35. G. Lois, A. Lemaître, and J. M. Carlson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.051303 72, 051303 (2005).
36. E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics, 3rd ed. (Pergamon Press, Elmsford, NY, 1980), Part.
37. C. Maloney and A. Lemaître, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.195501 93, 195501 (2004).
38. P. Jop, Y. Forterre, and O. Pouliquen, Nature (London) NATUAS 0028-0836 10.1038/nature04801 441, 727 (2006).
39. M. Urbakh, J. Klafter, D. Gourdon, and J. Israelachvili, Nature (London) NATUAS 0028-0836 10.1038/nature02750 430, 525 (2004).
40. A. Lemaître and J. Carlson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.061611 69, 061611 (2004).
41. E. Daub and J. M. Carlson, J. Geophys. Res. (unpublished).
42. A. Foglia, e-print arXiv:cond-mat/0608451.
43. R. Huang, Z. Suo, W. Prevost, and J. H. Nix, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/S0022-5096(01)00115-6 50, 1011 (2002).
44. S. M. Fielding and P. D. Olmsted, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.224501 90, 224501 (2003).
45. A. Foglia, Ph.D. thesis, University of California, Santa Barbara, 2006.
46. C. Damgaard, Tech. Rep., from MathWorld-A Wolfram Web Resource, created by Eric W. Weisstein (2007), http://mathworld.wolfam.com/GiniCoefficient.html
47. Y. Shi and M. Falk (private communication).
48. M. Falk and Y. Shi, Mater. Res. Soc. Symp. Proc. MRSPDH 0272-9172 754, 20 (2003).
49. C.-Y. David Lu, P. D. Olmsted, and R. C. Ball, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.642 84, 642 (2000).