Shear-induced rigidity in athermal materials: A unified statistical framework

Sarkar, Sumantra; Chakraborty, Bulbul

doi:10.1103/physreve.91.042201

Cited by 17 publications

(18 citation statements)

References 24 publications

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“…The jamming transition for a granular material separates fluidlike states with zero yield stress from solid-like states that can support finite stress. The past two decades have seen a significant effort directed toward understanding the jamming transition in model granular systems consisting of spherical particles [1,2,3,4,5,6], due both to their relative simplicity and relevance for understanding glasses and suspensions [7,1,8,9,10,11]. However, real world industrial and environmental processes usually involve particles that are not spherical, and recent work has shown that such particles can differ significantly in their geometrical and mechanical properties [12,13,14,15,6,16].…”

Section: Introductionmentioning

confidence: 99%

Jamming transition in non-spherical particle systems: pentagons versus disks

et al. 2019

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We investigate the jamming transition in a quasi-2D granular material composed of regular pentagons or disks subjected to quasistatic uniaxial compression. We report six major findings based on experiments with monodisperse photoelastic particles with static friction coefficient µ ≈ 1. (1) For both pentagons and disks, the onset of rigidity occurs when the average coordination number of non-rattlers, Z nr , reaches 3, and the dependence of Z nr on the packing fraction φ changes again when Z nr reaches 4. (2) Though the packing fractions φ c1 and φ c2 at these transitions differ from run to run, for both shapes the data from all runs with different initial configurations collapses when plotted as a function of the non-rattler fraction. (3) The averaged values of φ c1 and φ c2 for pentagons are around 1% smaller than those for disks. (4) Both jammed pentagons and disks show Gamma distribution of the Voronoi cell area with same parameters. (5) The jammed pentagons have similar translational order for particle centers but slightly less orientational order for contacting pairs compared to jammed disks. (6) For jammed pentagons, the angle between edges at a face-to-vertex contact point shows a uniform distribution and the size of a cluster connected by face-to-face contacts shows a power-law distribution.

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Section: Introductionmentioning

confidence: 99%

Jamming transition in non-spherical particle systems: pentagons versus disks

et al. 2019

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“…Around this volume fraction, shear has the ability to "jam" or rigidify disordered packings [2,13]. The underpinnings of the mechanism are still under intense debate [14][15][16][17][18][19]. One of the complicating factors is that many of the nontrivial mechanical features are transient phenomena, making them particularly difficult to probe, as they are highly dependent on packing preparation, boundary conditions, and other seemingly insignificant details of the system [7,15].…”

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confidence: 99%

Sheared Amorphous Packings Display Two Separate Particle Transport Mechanisms

et al. 2020

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Shearing granular materials induces nonaffine displacements. Such nonaffine displacements have been studied extensively, and are known to correlate with plasticity and other mechanical features of amorphous packings. A well known example is shear transformation zones as captured by the local deviation from affine deformation, D 2 min , and their relevance to failure and stress fluctuations. We analyze sheared frictional athermal disc packings and show that there exists at least one additional mesoscopic transport mechanism that superimposes itself on top of local diffusive motion. We evidence this second transport mechanism in a homogeneous system via a diffusion tensor analysis and show that the trace of the diffusion tensor equals the classic D 2 min when this second mesoscopic transport is corrected for. The new transport mechanism is consistently observed over a wide range of volume fractions and even for particles with different friction coefficients and is consistently observed also upon shear reversal, hinting at its relevance for memory effects.

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“…The factors that impact the DST phenomenon have been investigated by many scientists [20][21][22][23][24], as well. These researchers found that the concentration and the shear rate can greatly influence the DST behavior of STFs.…”

Section: Introductionmentioning

confidence: 99%