Jamming and shear for granular materials

Behringer, Robert; Dijksman, Joshua; Ren, Jie; Zhang, Jie; Majmudar, Trushant; Chakraborty, Bulbul; Bi, Dapeng; Tordesillas, Antoinette

doi:10.1063/1.4811860

Cited by 4 publications

(5 citation statements)

References 15 publications

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“…In the shear rate regime between 10 -5 -10 1 s -1 , dramatically increases with the decrease of shear rates. In other word, the jamming may happen at lower particle volume fractions when the shear rate increases, which is consistent with experimental observations 57,67 . When the shear rate is smaller than 10 -5 s -1 , the system may only jam at high particle volume fractions; when the shear rate is about 10 -5 s -1 , the volume fractions at jammed points become lower and lower under higher and higher shear rates.…”

Section: Particle Jamming and Associated Temperaturessupporting

confidence: 91%

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Defining temperatures of granular powders analogously with thermodynamics to understand jamming phenomena

Hao¹

2018

AIMS Materials Science

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For the purpose of applying laws or principles originated from thermal systems to granular athermal systems, we may need to properly define the critical "temperature" concept in granular powders. The conventional environmental temperature in thermal systems is too weak to drive movements of particles in granular powders and cannot function as a thermal energy indicator. For maintaining the same functionality as in thermal systems, the temperature in granular powders is defined analogously and uniformly in this article. The newly defined granular temperature is utilized to describe and explain one of the most important phenomena observed in granular powders, the jamming transition, by introducing jamming temperature and jamming volume fraction concepts. The predictions from the equations of the jamming volume fractions for several cases like granular powders under shear or vibration are in line with experimental observations and empirical solutions in powder handlings. The goal of this article is to lay a foundation for establishing similar concepts in granular powders, allowing granular powders to be described with common laws or principles we are familiar with in thermal systems. Our intention is to build a bridge between thermal systems and granular powders to account for many similarities already found between these two systems.

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Section: Particle Jamming and Associated Temperaturessupporting

confidence: 91%

“…The big drop between 10 -5 -10 -2 s -1 may indicate that a shear induced structure change happens in this area. These two regions are very similar to the "fragile states" and "shear-jammed states" observed experimentally 57,67 ,…”

Section: Particle Jamming and Associated Temperaturessupporting

confidence: 84%

Defining temperatures of granular powders analogously with thermodynamics to understand jamming phenomena

Hao¹

2018

AIMS Materials Science

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“…The coarse-graining method is very flexible and can be used with discrete data from any source, e.g. molecular dynamics, smoothed particle hydrodynamics, discrete particle simulations, experimental data [4], etc. Previously coarse-graining has been successfully extended to allow its application to bulk flows near the boundaries or discontinuities [32,45] and to analyse shallow granular flows [44].…”

Section: Introductionmentioning

confidence: 99%

From discrete elements to continuum fields: Extension to bidisperse systems

2015

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Micro-macro transition methods can be used to, both, calibrate and validate continuum models from discrete data obtained via experiments or simulations. These methods generate continuum fields such as density, momentum, stress, etc., from discrete data, i.e. positions, velocity, orientations and forces of individual elements. Performing this micro-macro transition step is especially challenging for non-uniform or dynamic situations. Here, we present a general method of performing this transition, but for simplicity we will restrict our attention to two-component scenarios. The mapping technique, presented here, is an extension to the micro-macro transition method, called coarse-graining, for unsteady two-component flows and can be easily extended to multi-component systems without any loss of generality. This novel method is advantageous; because, by construction the obtained macroscopic fields are consistent with the continuum equations of mass, momentum and energy balance. Additionally, boundary interaction forces can be taken into account in a self-consistent way and thus allow for the construction of continuous stress fields even within one element radius of the boundaries. Similarly, stress and drag forces can also be determined for individual constituents of a multicomponent mixture, which is critical for several continuum applications, e.g. mixture theory-based segregation models. Moreover, the method does not require ensemble-averaging and thus can be efficiently exploited to investigate static, B Deepak R. Tunuguntla steady and time-dependent flows. The method presented in this paper is valid for any discrete data, e.g. particle simulations, molecular dynamics, experimental data, etc.; however, for the purpose of illustration we consider data generated from discrete particle simulations of bidisperse granular mixtures flowing over rough inclined channels. We show how to practically use our coarse-graining extension for both steady and unsteady flows using our open-source coarse-graining tool MercuryCG. The tool is available as a part of an efficient discrete particle solver MercuryDPM (www.MercuryDPM. org).

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“…Can sliding of rough surfaces at a few millimeters/second, far less than shear wave velocities for the rock, generate and radiate seismic energy over our observed range of tremor frequencies? Numerous and detailed experiments using granular material [ Behringer , ] suggest that this is possible. In controlled laboratory experiments, Behringer [] produced fluctuating forces with frequencies up to 10 Hz by shearing dry granular material at slow rates (millimeter/second).…”

Section: Application To Conduit Resonance On 2 October 2004mentioning

confidence: 99%

“…Numerous and detailed experiments using granular material [ Behringer , ] suggest that this is possible. In controlled laboratory experiments, Behringer [] produced fluctuating forces with frequencies up to 10 Hz by shearing dry granular material at slow rates (millimeter/second). Though the theoretical framework for this phenomenon is not complete, theoretical analysis [ Behringer , ] suggests that if the modulus and forces across individual grains are high enough, then the formation and breaking of linked chains of particles within a granular mixture (such as gouge) during slow shear is sufficient to produce and radiate high‐frequency strain waves.…”

Section: Application To Conduit Resonance On 2 October 2004mentioning

confidence: 99%

Volcanic tremor masks its seismogenic source: Results from a study of noneruptive tremor recorded at Mount St. Helens, Washington

Denlinger

Moran

2014

JGR Solid Earth

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. This episode was remarkable both because no explosion followed, and because seismicity abruptly stopped following the episode. This sequence motivated us to consider a model for volcanic tremor that does not involve energetic gas release from magma but does involve movement of conduit magma through extension on its way toward the surface. We found that the tremor signal was composed entirely of Love and Rayleigh waves and that its spectral bandwidth increased and decreased with signal amplitude, with broader bandwidth signals containing both higher and lower frequencies. Our modeling results demonstrate that the forces giving rise to this tremor were largely normal to conduit walls, generating hybrid head waves along conduit walls that are coupled to internally reflected waves. Together these form a crucial part of conduit resonance, giving tremor wavefields that are largely a function of waveguide geometry and velocity. We find that the mechanism of tremor generation fundamentally masks the nature of the seismogenic source giving rise to resonance. Thus multiple models can be invoked to explain volcanic tremor, requiring that information from other sources (such as visual observations, geodesy, geology, and gas geochemistry) be used to constrain source models. With concurrent GPS and field data supporting rapid rise of magma, we infer that tremor resulted from drag of nearly solid magma along rough conduit walls as magma was forced toward the surface.

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Jamming and shear for granular materials

Cited by 4 publications

References 15 publications

Defining temperatures of granular powders analogously with thermodynamics to understand jamming phenomena

Defining temperatures of granular powders analogously with thermodynamics to understand jamming phenomena

From discrete elements to continuum fields: Extension to bidisperse systems

Volcanic tremor masks its seismogenic source: Results from a study of noneruptive tremor recorded at Mount St. Helens, Washington

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