Creep, stick-slip, and dry-friction dynamics: Experiments and a heuristic model

Heslot, F.; Baumberger, Tristan; Perrin, Bernard; Caroli, B.; Caroli, C.

doi:10.1103/physreve.49.4973

Cited by 539 publications

(587 citation statements)

References 20 publications

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“…9F=9 ¿ 0 is agreeable enough, and 9F=9V ¿ 0 is a ÿrmly established experimental result (Dieterich, 1979;Tullis and Weeks, 1986;Heslot et al, 1994;Marone, 1998), re ecting the positive instantaneous velocity dependence of processes at asperity contacts. 9F=9 ¿ 0 merely sets a convention for the state variable; larger values mean greater strength, which is consistent with the usual interpretation of as a measure of the average maturity of the asperity contact population (more mature contacts are stronger).…”

Section: General Rate and State Framework Including Variable Normal supporting

confidence: 54%

“…It is now generally assumed to be descended from an Arrhenius activated rate process describing creep at asperity contacts. That interpretation had been mentioned earlier by Stesky (1977), was implicit in Chester (1994), and was suggested explicitly, in the rate and state framework, by Heslot et al (1994), BrÃ echet and Estrin (1994), Baumberger (1997), Sleep (1997), Persson (1998), Baumberger et al (1999), Lapusta et al (2000), and Nakatani (2001). In such an interpretation, for the simple case of a single activated process, we write the slip rate as…”

Section: Physical and Empirical Basis For Standard Rate And State Lawsmentioning

confidence: 78%

“…That is, for rapid enough changes in V so as for the surfaces to be at the same population of asperity contacts (i.e., at a constant value of the state variable), the variation of friction strength with slip rate V is generally found to involve a positive proportionality to ln(V ). This dependence is plausibly attributed to the presence of a thermally activated creep process at stressed asperity contacts (Stesky, 1977;Heslot et al, 1994;Chester, 1994;BrÃ echet and Estrin, 1994;Baumberger, 1997;Sleep, 1997;Persson, 1998;Baumberger et al, 1999;Lapusta et al, 2000;Nakatani, 2001) as discussed further. We also demonstrate how compromises from the full rate and state constitutive framework, in the direction of classical friction laws like pure velocity-dependent friction, of velocity-weakening type, do not allow a quasi-static range and, in fact, lead to paradoxical prediction of supersonic propagation of slip pulses (as recognized already by Weertman, 1969, andKnopo andLandoni, 1998), or to ill-posedness, depending on the strength of the velocity weakening.…”

Section: Introductionmentioning

confidence: 90%

“…Dependence on those contact properties is represented as a dependence on a state variable, or variables Rice, 1983;Rice and Ruina, 1983;Tullis and Weeks, 1986;Heslot et al, 1994;Marone, 1998). A formulation of friction due to Oden and Martins (1985) can likewise be considered as a special limit of rate and state friction, provided that the small normal motion between sliding surfaces, included in that formulation, is simply considered as a state variable rather than also as a source of alteration of normal stress.…”

Section: Introductionmentioning

confidence: 99%

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Rate and state dependent friction and the stability of sliding between elastically deformable solids

Rice

Lapusta

Ranjith

2001

Journal of the Mechanics and Physics of Solids

574

622

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We study the stability of steady sliding between elastically deformable continua using rate and state dependent friction laws. That is done for both elastically identical and elastically dissimilar solids. The focus is on linearized response to perturbations of steady-state sliding, and on studying how the positive direct e ect (instantaneous increase or decrease of shear strength in response to a respective instantaneous increase or decrease of slip rate) of those laws allows the existence of a quasi-static range of response to perturbations at su ciently low slip rate. We discuss the physical basis of rate and state laws, including the likely basis for the direct e ect in thermally activated processes allowing creep slippage at asperity contacts, and estimate activation parameters for quartzite and granite. Also, a class of rate and state laws suitable for variable normal stress is presented. As part of the work, we show that compromises from the rate and state framework for describing velocity-weakening friction lead to paradoxical results, like supersonic propagation of slip perturbations, or to ill-posedness, when applied to sliding between elastically deformable solids. The case of sliding between elastically dissimilar solids has the inherently destabilizing feature that spatially inhomogeneous slip leads to an alteration of normal stress, hence of frictional resistance. We show that the rate and state friction laws nevertheless lead to stability of response to su ciently short wavelength perturbations, at very slow slip rates. Further, for slow sliding between dissimilar solids, we show that there is a critical amplitude of velocity-strengthening above which there is stability to perturbations of all wavelengths. ?

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Section: General Rate and State Framework Including Variable Normal supporting

confidence: 54%

Section: Physical and Empirical Basis For Standard Rate And State Lawsmentioning

confidence: 78%

Section: Introductionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Rate and state dependent friction and the stability of sliding between elastically deformable solids

Rice

Lapusta

Ranjith

2001

Journal of the Mechanics and Physics of Solids

574

622

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show abstract

“…Several dynamic processes of physical [1], geologic [2], and technological [3] interest involve superposed interacting rough surfaces able to display stick-slip motion [4]. It has been discovered in the last few years that the intermittent sliding or stick-slip dynamics of a rough solid cylinder on a rough inclined surface submitted to small controlled perturbations is a fluctuation phenomenon characterized by non-trivial spatiotemporal scaling laws [5,6], and complex critical exponents [7] if the inclination is below the angle of repose.…”

Section: Introductionmentioning

confidence: 99%

Sliding susceptibility of a rough cylinder on a rough inclined perturbed surface

Brito

Costa

Gomes

et al. 2004

Physica A: Statistical Mechanics and its Applications

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A susceptibility function χ(L) is introduced to quantify some aspects of the intermittent stick-slip dynamics of a rough metallic cylinder of length L on a rough metallic incline submitted to small controlled perturbations and maintained below the angle of repose. This problem is studied from the experimental point of view and the observed power-law behavior of χ(L) is justified through the use of a general class of scaling hypotheses.

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On the velocity‐strengthening behavior of dry friction

et al. 2014

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The onset of frictional instabilities, e.g. earthquakes nucleation, is intimately related to velocity-weakening friction, in which the frictional resistance of interfaces decreases with increasing slip velocity. While this frictional response has been studied extensively, less attention has been given to steady-state velocity-strengthening friction, in spite of its potential importance for various aspects of frictional phenomena such as the propagation speed of interfacial rupture fronts and the amount of stored energy released by them. In this note we suggest that a crossover from steady-state velocity-weakening friction at small slip velocities to steady-state velocity-strengthening friction at higher velocities might be a generic feature of dry friction. We further argue that while thermally activated rheology naturally gives rise to logarithmic steady-state velocity-strengthening friction, a crossover to stronger-than-logarithmic strengthening might take place at higher slip velocities, possibly accompanied by a change in the dominant dissipation mechanism. We sketch a few physical mechanisms that may account for the crossover to stronger-than-logarithmic steady-state velocity-strengthening and compile a rather extensive set of experimental data available in the literature, lending support to these ideas.Comment: Updated to published version: 2 Figures and a section adde

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Creep, stick-slip, and dry-friction dynamics: Experiments and a heuristic model

Cited by 539 publications

References 20 publications

Rate and state dependent friction and the stability of sliding between elastically deformable solids

Rate and state dependent friction and the stability of sliding between elastically deformable solids

Sliding susceptibility of a rough cylinder on a rough inclined perturbed surface

On the velocity‐strengthening behavior of dry friction

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