Why Do Granular Materials Stiffen with Shear Rate?: Test of Novel Stress-Based Statistics

R. P. Behringer; Dapeng Bi; B. Chakraborty; S. Henkes; R. R. Hartley

doi:10.1103/PhysRevLett.101.268301

Why Do Granular Materials Stiffen with Shear Rate? Test of Novel Stress-Based Statistics

R. P. Behringer, Dapeng Bi, B. Chakraborty, S. Henkes, R. R. Hartley

Mathematical Science

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Abstract

Recent experiments exhibit a rate dependence for granular shear such that the stress grows linearly in the logarithm of the shear rate, gamma. Assuming a generalized activated process mechanism, we show that these observations are consistent with a recent proposal for a stress-based statistical ensemble. By contrast, predictions for rate dependence using conventional energy-based statistical mechanics to describe activated processes, predicts a rate dependence of (ln(gamma))(1/2).

Original language	English
Article number	268301
Number of pages	4
Journal	Physical Review Letters
Volume	101
Issue number	26
DOIs	https://doi.org/10.1103/PhysRevLett.101.268301
Publication status	Published - 31 Dec 2008

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PhysRevLett
DOI: 10.1103/PhysRevLett.101.268301 © 2008 The American Physical Society
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title = "Why Do Granular Materials Stiffen with Shear Rate?: Test of Novel Stress-Based Statistics",

abstract = "Recent experiments exhibit a rate dependence for granular shear such that the stress grows linearly in the logarithm of the shear rate, gamma. Assuming a generalized activated process mechanism, we show that these observations are consistent with a recent proposal for a stress-based statistical ensemble. By contrast, predictions for rate dependence using conventional energy-based statistical mechanics to describe activated processes, predicts a rate dependence of (ln(gamma))(1/2).",

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AU - Henkes, S.

AU - Hartley, R. R.

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AB - Recent experiments exhibit a rate dependence for granular shear such that the stress grows linearly in the logarithm of the shear rate, gamma. Assuming a generalized activated process mechanism, we show that these observations are consistent with a recent proposal for a stress-based statistical ensemble. By contrast, predictions for rate dependence using conventional energy-based statistical mechanics to describe activated processes, predicts a rate dependence of (ln(gamma))(1/2).

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DO - 10.1103/PhysRevLett.101.268301

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Why Do Granular Materials Stiffen with Shear Rate? Test of Novel Stress-Based Statistics

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