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

By J. Rice, N. Lapusta, K. Ranjith. 2001

587 citations recorded by the source corpus.

Subfields: Geophysics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0613cb359834e7a56fc58449d6e4907ac2804357

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geophysics

1. N. Lapusta
2. Jean-Paul Ampuero
3. H. Noda
4. Eric M. Dunham
5. Sylvain Barbot
6. Y. Ben‐Zion
7. A. Rubin
8. N. Beeler

In Mechanics of Materials

1. Jean-Paul Ampuero
2. Sylvain Barbot
3. A. Rubin
4. J. Rice
5. H. Noda
6. C. Marone
7. Eric M. Dunham
8. Y. Ben‐Zion

Citations in the corpus

• Earthquake Ruptures with Strongly Rate-Weakening Friction and Off-Fault Plasticity, Part 1: Planar Faults (2011, background): “Purely rate-weakening friction laws cannot be used because they can lead to mathematically ill-posed problems or unphysical phenomena (Rice et al., 2001).”
• Earthquake ruptures with thermal weakening and the operation of major faults at low overall stress levels (2009, background): “Using purely velocity-weakening constitutive models leads to ill-posedness in problems of frictional sliding between elastic materials [Rice et al., 2001], so we are compelled not”
• Does fault strengthening in laboratory rock friction experiments really depend primarily upon time and not slip? (2017, methodology): “We first express a in terms of the parameters of an Arrhenius rate dependence [Nakatani, 2001; Rice et al., 2001; Baumberger and Caroli, 2006]: a = kBT 𝜎cΩ , (E1) BHATTACHARYA ET AL.”
• Evidence for a Supershear Transient during the 2002 Denali Fault Earthquake (2004, background): “The dispersion relation for a linearized version of rate and state friction is given by Rice et al. (2001).”
• Earthquake nucleation on (aging) rate and state faults (2005, background): “[4] In contrast to the direct effect a (ln [V/V*]), which appears to have a plausible basis in terms of a thermally activated Arrhenius process [Rice et al., 2003], laws for the evolution of state are essentially empirical.”
• Macroscopic Asymmetry of Dynamic Rupture on a Bimaterial Interface With Velocity- Weakening Friction (2006, methodology): “We have derived this approximate result for mode II by analogy to the exact results for mode III presented by Rice et al. (2001), replacing μ by 0 5 10 15 20 25 0 5 –5 10 15 20 25 q k c r / k crqs exact approx error (”
• Effect of humidity on granular friction at room temperature (2002, background): “Contact junctions strengthen with age [Rabinowicz , 1951], possibly through thermally activated mechanisms that increase the contact area [Dieterich and Kilgore, 1994, 1996; Heslot et al., 1994] or the contact bonding quality [Hirth and Rice, 1980; Rice et al., 2001].”
• Aseismic slip transients emerge spontaneously in three-dimensional rate and state modeling of subduction earthquake sequences (2005, methodology): “as done by Rice and Ben-Zion [1996] [also Lapusta et al., 2000; Rice et al., 2001], as justified by a thermally activated description of slip at frictional contacts.”
• A unified continuum representation of post-seismic relaxation mechanisms: semi-analytic models of afterslip, poroelastic rebound and viscoelastic flow (2010, methodology): “We use the formulation of Barbot et al. (2009a) that regularizes the classic rate-and-state friction (Dieterich 1979, 1992) to allow for vanishing slip rates (Rice et al. 2001).”
• Earthquake nucleation on rate and state faults - Aging and slip laws (2008, background): “The rate-dependent part of the strength, proportional to the logarithm of the sliding velocity V and the constitutive parameter a, is thought to reflect a thermally activated Arrhenius process involving the breaking of atomic bonds at contact points bridging the sliding surface [Rice et al., 2001].”
• Three‐dimensional earthquake sequence simulations with evolving temperature and pore pressure due to shear heating: Effect of heterogeneous hydraulic diffusivity (2010, methodology): “[19] In the examples shown in section 4, we assume the following regularized rate‐ and state‐dependent friction law [Rice et al., 2001] with the effective normal stress,”
• Statistical physics of fracture, friction, and earthquakes (2011, background): “(20) and (16) with b′ = 0 (no healing), one can infer that a′ = kBTΩPtrue , as previously derived by some authors (Heslot et al., 1994; Nakatani, 2001; Rice et al., 2001).”
• Heating and weakening of faults during earthquake slip (2006, background): “Such a feature is not only physically motivated, but is known to be necessary to make mathematically well-posed models of sliding, with velocity-weakening friction, on interfaces between elastically deformable continua [ Rice et al. , 2001].”
• Nucleation and early seismic propagation of small and large events in a crustal earthquake model (2003, methodology): “From stability studies [e.g., Rice and Ruina, 1983; Rice et al., 2001], h nucl scales with L, being approximately proportional to L, but multiplied by a numerical factor which scales roughly like m/[(b À a) s], where m is the shear modulus.”