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Bar-Sinai Y, Spatschek R, Brener EA, et al. Instabilities at frictional interfaces: creep patches, nucleation, and rupture fronts. Phys Rev E Stat Nonlin Soft Matter Phys. 2013;88(6):060403doi: 10.1103/PhysRevE.88.060403.
Bar-Sinai, Y., Spatschek, R., Brener, E. A., & Bouchbinder, E. (2013). Instabilities at frictional interfaces: creep patches, nucleation, and rupture fronts. Physical review. E, Statistical, nonlinear, and soft matter physics, 88(6), 060403. https://doi.org/10.1103/PhysRevE.88.060403
Bar-Sinai, Yohai, et al. "Instabilities at frictional interfaces: creep patches, nucleation, and rupture fronts." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 88,6 (2013): 060403. doi: https://doi.org/10.1103/PhysRevE.88.060403
Bar-Sinai Y, Spatschek R, Brener EA, Bouchbinder E. Instabilities at frictional interfaces: creep patches, nucleation, and rupture fronts. Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Dec;88(6):060403. doi: 10.1103/PhysRevE.88.060403. Epub 2013 Dec 10. PMID: 24483372.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Dec;88(6):060403. doi: 10.1103/PhysRevE.88.060403. Epub 2013 Dec 10.

Instabilities at frictional interfaces: creep patches, nucleation, and rupture fronts.

Physical review. E, Statistical, nonlinear, and soft matter physics

Yohai Bar-Sinai, Robert Spatschek, Efim A Brener, Eran Bouchbinder

Affiliations

  1. Chemical Physics Department, Weizmann Institute of Science, Rehovot 76100, Israel.
  2. Max-Planck-Institut für Eisenforschung GmbH, D-40237 Düsseldorf, Germany.
  3. Chemical Physics Department, Weizmann Institute of Science, Rehovot 76100, Israel and Peter Grünberg Institut, Forschungszentrum Jülich, D-52425 Jülich, Germany.

PMID: 24483372 DOI: 10.1103/PhysRevE.88.060403

Abstract

The strength and stability of frictional interfaces, ranging from tribological systems to earthquake faults, are intimately related to the underlying spatially extended dynamics. Here we provide a comprehensive theoretical account, both analytic and numeric, of spatiotemporal interfacial dynamics in a realistic rate-and-state friction model, featuring both velocity-weakening and velocity-strengthening behaviors. Slowly extending, loading-rate-dependent creep patches undergo a linear instability at a critical nucleation size, which is nearly independent of interfacial history, initial stress conditions, and velocity-strengthening friction. Nonlinear propagating rupture fronts-the outcome of instability-depend sensitively on the stress state and velocity-strengthening friction. Rupture fronts span a wide range of propagation velocities and are related to steady-state-front solutions.

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