On the velocity-strengthening behavior of dry friction

Journal of Geophysical Research: Solid Earth

Volumn 119, Issue 3, 2014, Pages 1738-1748

  Bar Sinai, Yohai ^a   Spatschek, Robert ^b   Brener, Efim A ^a,c   Bouchbinder, Eran ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b MAX PLANCK INSTITUT FÜR EISENFORSCHUNG GMBH   (Germany)

^c FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

constitutive laws; friction; slow rupture; stable slip; velocity strengthening

Indexed keywords

CONSTITUTIVE EQUATION; EARTHQUAKE RUPTURE; FRICTION; RHEOLOGY; SLIP RATE; STEADY-STATE EQUILIBRIUM;

EID: 84901314760     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1002/2013JB010586     Document Type: Article

References (63)

1. Armstrong-Hélouvry, B., P. Dupont, and, C. C. De Wit, (1994), A survey of models, analysis tools and compensation methods for the control of machines with friction, Automatica, 30 (7), 1083-1138, doi: 10.1016/0005- 1098(94)90209-7. (Pubitemid 124008280)
2. Bagnold, R., (1956), The flow of cohesionless grains in fluids, Philos. Trans. R. Soc. London, Ser. A, 249 (964), 235-297, doi: 10.1098/rsta.1956.0020.
3. Bar Sinai, Y., E. A. Brener, and, E. Bouchbinder, (2012), Slow rupture of frictional interfaces, Geophys. Res. Lett., 39, L03308, doi: 10.1029/2011GL050554.
4. Bar-Sinai, Y., R. Spatschek, E. A. Brener, and, E. Bouchbinder, (2013), Instabilities at frictional interfaces: Creep patches, nucleation and rupture fronts, Phys. Rev. E, 88 (6), 060,403(R), doi: 10.1103/PhysRevE.88.060403.
5. Baumberger, T., and, P. Berthoud, (1999), Physical analysis of the state- and rate-dependent friction law. II. Dynamic friction, Phys. Rev. B, 60 (6), 3928-3939, doi: 10.1103/PhysRevB.60.3928.
6. Baumberger, T., and, C. Caroli, (2006), Solid friction from stick-slip down to pinning and aging, Adv. Phys., 55 (3-4), 279-348, doi: 10.1080/00018730600732186. (Pubitemid 43884571)
7. Ben-David, O., S. M. Rubinstein, and, J. Fineberg, (2010), Slip-stick and the evolution of frictional strength., Nature, 463, 76-79, doi: 10.1038/nature08676.
8. Ben-Zion, Y., (2008), Collective behavior of earthquakes and faults: Continuum-discrete transitions, progressive evolutionary changes, and different dynamic regimes, Rev. Geophys., 46 (4), RG4006, doi: 10.1029/2008RG000260.
9. Berthoud, P., T. Baumberger, C. GSell, and, J.-M. Hiver, (1999), Physical analysis of the state- and rate-dependent friction law: Static friction, Phys. Rev. B, 59 (22), 14,313-14,327, doi: 10.1103/PhysRevB.59.14313.
10. Bouchbinder, E., E. A. Brener, I. Barel, and, M. Urbakh, (2011), Slow cracklike dynamics at the onset of frictional sliding, Phys. Rev. Lett., 107 (23), 235,501, doi: 10.1103/PhysRevLett.107.235501.
11. Bowden, F. P., and, D. Tabor, (1964), The Friction and Lubrication of Solids, Oxford Univ. Press, New York.
12. Bureau, L., T. Baumberger, and, C. Caroli, (2002), Rheological aging and rejuvenation in solid friction contacts, Eur. Phys. J. E, 8 (3), 331-337, doi: 10.1140/epje/i2002-10017-1. (Pubitemid 36185012)
13. Byerlee, J. D., (1967), Theory of friction based on brittle fracture, J. Appl. Phys., 38 (7), 2928-2934, doi: 10.1063/1.1710026.
14. den Hartog, S. A. M., and, C. Spiers, (2013), Influence of subduction zone conditions and gouge composition on frictional slip stability of megathrust faults, Tectonophysics, 600, 75-90, doi: 10.1016/j.tecto.2012.11.006.
15. den Hartog, S. A. M., A. R. Niemeijer, and, C. J. Spiers, (2012), New constraints on megathrust slip stability under subduction zone P-T conditions, Earth Planet. Sci. Lett., 353-354, 240-252, doi: 10.1016/j.epsl.2012.08.022.
16. Di Toro, G., D. L. Goldsby, and, T. E. Tullis, (2004), Friction falls towards zero in quartz rock as slip velocity approaches seismic rates, Nature, 427 (6973), 436-439, doi: 10.1038/nature02249. (Pubitemid 38168494)
17. Dieterich, J. H., (1972), Time-dependent friction in rocks, J. Geophys. Res., 77 (20), 3690-3697, doi: 10.1029/JB077i020p03690.
18. Dieterich, J. H., (1978), Time-dependent friction and the mechanics of stick-slip, Pure Appl. Geophys., 116 (4-5), 790-806, doi: 10.1007/BF00876539.
19. Dieterich, J. H., and, B. D. Kilgore, (1994), Direct observation of frictional contacts: New insights for state-dependent properties, Pure Appl. Geophys., 143 (1-3), 283-302, doi: 10.1007/BF00874332.
20. Estrin, Y., and, Y. Bréchet, (1996), On a model of frictional sliding, Pure Appl. Geophys., 147 (4), 745-762, doi: 10.1007/BF01089700. (Pubitemid 27211192)
21. Ferri, F., G. Di Toro, T. Hirose, R. Han, H. Noda, T. Shimamoto, M. Quaresimin, and, N. de Rossi, (2011), Low- to high-velocity frictional properties of the clay-rich gouges from the slipping zone of the 1963 Vaiont slide, northern Italy, J. Geophys. Res., 116, B09208, doi: 10.1029/2011JB008338.
22. Goldsby, D. L., and, T. E. Tullis, (2011), Flash heating leads to low frictional strength of crustal rocks at earthquake slip rates, Science, 334 (6053), 216-218, doi: 10.1126/science.1207902.
23. Hawthorne, J. C., and, A. M. Rubin, (2013), Tidal modulation and back-propagating fronts in slow slip events simulated with a velocity-weakening to velocity-strengthening friction law, J. Geophys. Res. Solid Earth, 118, 1216-1239, doi: 10.1002/jgrb.50107.
24. Heslot, F., T. Baumberger, B. Perrin, B. Caroli, and, C. Caroli, (1994), Creep, stick-slip, and dry-friction dynamics: Experiments and a heuristic model, Phys. Rev. E, 49 (6), 4973-4988, doi: 10.1103/PhysRevE.49.4973.
25. Hirth, J. P., and, J. Lothe, (1967), Theory of Dislocations, McGraw-Hill, New York.
26. Ikari, M. J., D. M. Saffer, and, C. Marone, (2009), Frictional and hydrologic properties of clay-rich fault gouge, J. Geophys. Res., 114, B05409, doi: 10.1029/2008JB006089.
27. Ikari, M. J., C. Marone, D. M. Saffer, and, A. J. Kopf, (2013), Slip weakening as a mechanism for slow earthquakes, Nat. Geosci., 6 (7), 468-472, doi: 10.1038/ngeo1818.
28. Kato, N., (2003), A possible model for large preseismic slip on a deeper extension of a seismic rupture plane, Earth Planet. Sci. Lett., 216 (1-2), 17-25, doi: 10.1016/S0012-821X(03)00483-7. (Pubitemid 37388329)
29. Kawamura, H., T. Hatano, N. Kato, S. Biswas, and, B. K. Chakrabarti, (2012), Statistical physics of fracture, friction, and earthquakes, Rev. Mod. Phys., 84 (2), 839-884, doi: 10.1103/RevModPhys.84.839.
30. Kilgore, B. D., M. L. Blanpied, and, J. H. Dieterich, (1993), Velocity dependent friction of granite over a wide range of conditions, Geophys. Res. Lett., 20 (10), 903-906, doi: 10.1029/93GL00368. (Pubitemid 23393954)
31. Kumar, A., and, R. G. Kumble, (1969), Viscous drag on dislocations at high strain rates in copper, J. Appl. Phys., 40 (9), 3475, doi: 10.1063/1.1658222.
32. Kuwano, O., R. Ando, and, T. Hatano, (2013), Crossover from negative to positive shear rate dependence in granular friction, Geophys. Res. Lett., 40, 1295-1299, doi: 10.1002/grl.50311.
33. Langer, J. S., and, M. L. Manning, (2007), Steady-state, effective-temperature dynamics in a glassy material, Phys. Rev. E, 76 (5), 056,107, doi: 10.1103/PhysRevE.76.056107.
34. Marone, C., and, C. H. Scholz, (1988), The depth of seismic faulting and the upper transition from stable to unstable slip regimes, Geophys. Res. Lett., 15 (6), 621-624, doi: 10.1029/GL015i006p00621.
35. Marone, C., (1998a), Laboratory-derived friction laws and their application to seismic faulting, Annu. Rev. Earth Planet. Sci., 26, 643-696, doi: 10.1146/annurev.earth.26.1.643. (Pubitemid 28456647)
36. Marone, C., (1998b), The effect of loading rate on static friction and the rate of fault healing during the earthquake cycle, Nature, 391 (6662), 69-72, doi: 10.1038/34157. (Pubitemid 28079215)
37. Marone, C., C. Barry Raleigh, and, C. H. Scholz, (1990), Frictional behavior and constitutive modeling of simulated fault gouge, J. Geophys. Res., 95 (B5), 7007-7025, doi: 10.1029/JB095iB05p07007.
38. Marone, C. J., C. H. Scholtz, and, R. Bilham, (1991), On the mechanics of earthquake afterslip, J. Geophys. Res., 96 (B5), 8441-8452, doi: 10.1029/91JB00275.
39. Nakatani, M., (2001), Conceptual and physical clarification of rate and state friction: Frictional sliding as a thermally activated rheology, J. Geophys. Res., 106 (B7), 13,347-13,380, doi: 10.1029/2000JB900453.
40. Nakatani, M., and, C. H. Scholz, (2006), Intrinsic and apparent short-time limits for fault healing: Theory, observations, and implications for velocity-dependent friction, J. Geophys. Res., 111, B12208, doi: 10.1029/2005JB004096.
41. Noda, H., and, T. Shimamoto, (2009), Constitutive properties of clayey fault gouge from the Hanaore fault zone, southwest Japan, J. Geophys. Res., 114, B04409, doi: 10.1029/2008JB005683.
42. Ohnaka, M., (2013), The Physics of Rock Failure and Earthquakes, Cambridge Univ. Press, New York.
43. Olsson, H., K. J. Åström, C. Canudas de Wit, M. Gäfvert, and, P. Lischinsky, (1998), Friction models and friction compensation, Eur. J. Control, 4 (3), 176-195, doi: 10.1016/S0947-3580(98)70113-X. (Pubitemid 128496553)
44. Persson, B. N. J., (2000), Sliding Friction: Physical Principles and Applications, Springer-Verlag, New York.
45. Putelat, T., J. H. P. Dawes, and, J. R. Willis, (2011), On the microphysical foundations of rate-and-state friction, J. Mech. Phys. Solids, 59 (5), 1062-1075, doi: 10.1016/j.jmps.2011.02.002.
46. Rabinowicz, E., (1951), The nature of the static and kinetic coefficients of friction, J. Appl. Phys., 22 (11), 1373, doi: 10.1063/1.1699869.
47. Reches, Z., and, D. A. Lockner, (2010), Fault weakening and earthquake instability by powder lubrication, Nature, 467 (7314), 452-455, doi: 10.1038/nature09348.
48. Rice, J. R., (2006), Heating and weakening of faults during earthquake slip, J. Geophys. Res., 111, B05311, doi: 10.1029/2005JB004006.
49. Rice, J. R., and, A. Ruina, (1983), Stability of steady frictional slipping, J. Appl. Mech., 50 (2), 343-349, doi: 10.1115/1.3167042.
50. Rice, J. R., N. Lapusta, and, K. Ranjith, (2001), Rate and state dependent friction and the stability of sliding between elastically deformable solids, J. Mech. Phys. Solids, 49 (9), 1865-1898, doi: 10.1016/S0022-5096(01) 00042-4. (Pubitemid 32768094)
51. Ruina, A., (1983), Slip instability and state variable friction laws, J. Geophys. Res., 88 (B12), 10,359-10,370, doi: 10.1029/JB088iB12p10359.
52. Scholz, C. H., (1998), Earthquakes and friction laws, Nature, 391, 37-42, doi: 10.1038/34097. (Pubitemid 28079207)
53. Scholz, C. H., (2002), The Mechanics of Earthquakes and Faulting, Cambridge Univ. Press, New York.
54. Shibazaki, B., and, Y. Iio, (2003), On the physical mechanism of silent slip events along the deeper part of the seismogenic zone, Geophys. Res. Lett., 30 (9), 1489, doi: 10.1029/2003GL017047.
55. Shimamoto, T., (1986), Transition between frictional slip and ductile flow for halite shear zones at room temperature, Science, 231 (4739), 711-714, doi: 10.1126/science.231.4739.711. (Pubitemid 16286150)
56. Spray, J. G., (2005), Evidence for melt lubrication during large earthquakes, Geophys. Res. Lett., 32, L07301, doi: 10.1029/2004GL022293.
57. Spray, J. G., (2010), Frictional melting processes in planetary materials: From hypervelocity impact to earthquakes, Annu. Rev. Earth Planet. Sci., 38, 221-254, doi: 10.1146/annurev.earth.031208.100045.
58. Stribeck, R., and, M. Schröter, (1903), Die Wesentlichen Eigenschaften der Gleit-und Rollenlager: Untersuchung Einer Tandem- Verbundmaschine Von 1000 PS, Springer, Berlin, Germany.
59. Teufel, L. W., and, J. M. Logan, (1978), Effect of displacement rate on the real area of contact and temperatures generated during frictional sliding of Tennessee sandstone, Pure Appl. Geophys., 116 (4-5), 840-865, doi: 10.1007/BF00876541.
60. Urbakh, M., J. Klafter, D. Gourdon, and, J. Israelachvili, (2004), The nonlinear nature of friction, Nature, 430 (6999), 525-528, doi: 10.1038/nature02750. (Pubitemid 38998619)
61. Vanossi, A., N. Manini, M. Urbakh, S. Zapperi, and, E. Tosatti, (2013), Colloquium: Modeling friction: From nanoscale to mesoscale, Rev. Mod. Phys., 85 (2), 529-552, doi: 10.1103/RevModPhys.85.529.
62. Weeks, J. D., (1993), Constitutive laws for high-velocity frictional sliding and their influence on stress drop during unstable slip, J. Geophys. Res., 98 (B10), 17,637, doi: 10.1029/93JB00356.
63. Zerilli, F. J., and, R. W. Armstrong, (1992), The effect of dislocation drag on the stress-strain behavior of F. C. C metals, Acta Metall. Mater., 40 (8), 1803-1808, doi: 10.1016/0956-7151(92)90166-C. (Pubitemid 23564619)