Journal
PHYSICAL REVIEW E
Volume 92, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.92.022209
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Funding
- NSF [DMR0606092, EAR-1345108]
- NSF/USGS Southern California Earth-quake Center - NSF [EAR-0529922, 07HQAG0008]
- David and Lucile Packard Foundation
- U.S. Department of Energy, Office of Basic Energy Sciences, Materials Science and Engineering Division [DE-AC05-00OR-22725]
- Division Of Earth Sciences
- Directorate For Geosciences [1345074] Funding Source: National Science Foundation
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We propose a theory of shear flow in dense granular materials. A key ingredient of the theory is an effective temperature that determines how the material responds to external driving forces such as shear stresses and vibrations. We show that, within our model, friction between grains produces stick-slip behavior at intermediate shear rates, even if the material is rate strengthening at larger rates. In addition, externally generated acoustic vibrations alter the stick-slip amplitude, or suppress stick-slip altogether, depending on the pressure and shear rate. We construct a phase diagram that indicates the parameter regimes for which stick-slip occurs in the presence and absence of acoustic vibrations of a fixed amplitude and frequency. These results connect the microscopic physics to macroscopic dynamics and thus produce useful information about a variety of granular phenomena, including rupture and slip along earthquake faults, the remote triggering of instabilities, and the control of friction in material processing.
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