Shear band dynamics from a mesoscopic modeling of plasticity

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2010, Issue 12, 2010, Pages

  Jagla, E A ^a  

^a INSTITUTO BALSEIRO   (Argentina)

Author keywords

Granular matter; Plasticity (theory); Slow dynamics and ageing (theory)

Indexed keywords

EID: 78650323778     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2010/12/P12025     Document Type: Article

References (36)

1. Schramm L L, 2005 Emulsions, Foams, and Suspensions: Fundamentals and Applications (Weinheim: Wiley-VCH)
2. Russel W B, Saville D A and Schowalter W R, 1992 Colloidal Dispersions (Cambridge: Cambridge University Press)
3. Duran J, 1997 Sand, Powders and Grains (Paris: Eyrolle)
4. Miller M and Liaw P, 2007 Bulk Metallic Glasses: An Overview (New York: Springer)
5. Falk M and Langer J S, Dynamics of viscoplastic deformation in amorphous solids, 1998 Phys. Rev. E 57 7192
6. Bulatov V V and Argon A S, A stochastic model for continuum elasto-plastic behavior. I. Numerical approach and strain localization, 1994 Modeling Simul. Mater. Sci. Eng. 2 167
7. Bulatov V V and Argon A S, A stochastic model for continuum elasto-plastic behavior. II. A study of the glass transition and structural relaxation, 1994 Modeling Simul. Mater. Sci. Eng. 2 185
8. Bulatov V V and Argon A S, A stochastic model for continuum elasto-plastic behavior. III. Plasticity in ordered versus disordered solids, 1994 Modeling Simul. Mater. Sci. Eng. 2 203
9. Mair R and Callaghan P, Observation of shear banding in worm-like micelles by NMR velocity imaging, 1996 Europhys. Lett. 36 719
10. Makhloufi R, Decruppe J, Ait-Ali A and Cressely R, Rheo-optical study of worm-like micelles undergoing a shear banding flow, 1995 Europhys. Lett. 32 253
11. Ovarlez G, Rodts S, Chateau X and Coussot P, Phenomenology and physical origin of shear localization and shear banding in complex fluids, 2009 Rheol. Acta 48 831
12. Johnson W, Lu J and Demetriou M, Deformation and flow in bulk metallic glasses and deeply undercooled glass forming liquids: a self consistent dynamic free volume model, 2002 Intermetallics 10 1039
13. Lu J, Ravichandran G and Johnson W, Deformation behavior of the Zr41.2Ti13.8Cu12.5Ni10Be22.5 bulk metallic glass over a wide range of strain-rates and temperatures, 2003 Acta Mater. 51 3429
14. Tsaid Gollub J P, Granular packings sheared in an annular channel: flow localization and grain size dependence, 2005 Phys. Rev. E 72 051304
15. Fenistein D and van Hecke M, Kinematics: wide shear zones in granular bulk flow, 2003 Nature 425 256
16. Schall P and van Hecke M, Shear bands in matter with granularity, 2010 Annu. Rev. Fluid Mech. 42 67
17. Kabla A and Debregeas G, Local stress relaxation and shear banding in a dry foam under shear, 2003 Phys. Rev. Lett. 90 258303
18. Weaire D, Barry J D and Hutzler S, The continuum theory of shear localization in two-dimensional foam, 2010 J. Phys.: Condens. Matter 22 193101
19. Fenistein D, van de Meent J E and van Hecke M, Universal and wide shear zones in granular bulk flow, 2004 Phys. Rev. Lett. 92 094301
20. Shi Y, Katz M B, Li H and Falk M L, Evaluation of the disorder temperature and free-volume formalisms via simulations of shear banding in amorphous solids, 2007 Phys. Rev. Lett. 98 185505
21. Manning M L, Langer J S and Carlson J M, Strain localization in a shear transformation zone model for amorphous solids, 2007 Phys. Rev. E 76 056106
22. Langer J S, Shear-transformation-zone theory of plastic deformation near the glass transition, 2008 Phys. Rev. E 77 021502
23. Rottler J and Maass P, Aging in the shear-transformation-zone theory of plastic deformation, 2008 Phys. Rev. E 78 056109
24. Jagla E A, Strain localization driven by structural relaxation in sheared amorphous solids, 2007 Phys. Rev. E 76 046119
25. Baret J-C, Vandembroucq D and Roux S, Extremal model for amorphous media plasticity, 2002 Phys. Rev. Lett. 89 195506
26. Talamali M, Petaja V, Roux S and Vandembroucq D, Strain localization and anisotropic correlations in a mesoscopic model of amorphous plasticity, 2010 arXiv:1005:2463v1
27. Jagla E A, Finite width of quasistatic shear bands, 2008 Phys. Rev. E 78 026105
28. Ruina A L, Slip instability and state variable friction laws, 1983 J. Geophys. Res. 88 10359
29. Scholz C H, 2002 The Mechanics of Earthquakes and Faulting (Cambridge: Cambridge University Press)
30. Daub E G, Manning M L and Carlson J M, Shear strain localization in elastodynamic rupture simulations, 2008 Geophys. Res. Lett. 35 L12310
31. Jagla E A and Kolton A B, A mechanism for spatial and temporal earthquake clustering, 2010 J. Geophys. Res. 115 B05312
32. Jagla E A, Realistic spatial and temporal earthquake distributions in a modified Olami-Feder-Christensen model, 2010 Phys. Rev. E 81 046117
33. Varnik F, Bocquet L and Barrat J-L, A study of the static yield stress in a binary Lennard-Jones glass, 2004 J. Chem. Phys. 120 2788
34. Dieterich J H, Modeling of rock friction. 1. Experimental results and constitutive equations, 1979 J. Geophys. Res. 84 2161
35. Hahner P, Ziegenbein A, Rizzi E and Neuhauser H, Spatiotemporal analysis of Portevin Le Chatelier deformation bands: theory, simulation, and experiment, 2002 Phys. Rev. B 65 134109
36. Falk M L, Toiya M and Losert W, Shear transformation zone analysis of shear reversal during granular flow, 2008 arXiv:0802.1752