Mapping the jamming transition of bidisperse mixtures

Koeze, Dion; Vågberg, Daniel; Tjoa, B.B.T.; Tighe, Brian P.

doi:10.1209/0295-5075/113/54001

Cited by 43 publications

(49 citation statements)

References 32 publications

(82 reference statements)

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“…This comparison is particularly relevant for the large size ratios in Figs. 9(b) and 9(c) since they are close to or above the critical size ratio identified by Koeze et al [28] of * ≈ 6.46.…”

Section: F Interpolation Modelsupporting

confidence: 77%

“…A recent study of bidisperse mixtures [28] found that the inclusion of "rattlers" (i.e., small particles with a large size ratio between large and small particles) fills in the voids between large particles and dramatically increases the critical packing fraction. However, it is unclear how the rattlers affect the dynamical response of the granular material to impact, for example, or how they affect the interstitial forces between grains.…”

Section: Effect Of Packing Fractionmentioning

confidence: 99%

“…In this regime the work of Ref. [28] proposes that the small particles sitting in the space between the large particles are not part of the effective load-bearing chains or force networks, hence they are considered "rattlers." This comparison is particularly relevant for the large size ratios in Figs.…”

Section: F Interpolation Modelmentioning

confidence: 99%

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Penetration in bimodal, polydisperse granular material

2016

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We investigate the impact penetration of spheres into granular media which are compositions of two discrete size ranges, thus creating a polydisperse bimodal material. We examine the penetration depth as a function of the composition (volume fractions of the respective sizes) and impact speed. Penetration depths were found to vary between δ = 0.5D 0 and δ = 7D 0 , which, for mono-modal media only, could be correlated in terms of the total drop height, H = h + δ, as in previous studies, by incorporating correction factors for the packing fraction. Bimodal data can only be collapsed by deriving a critical packing fraction for each mass fraction. The data for the mixed grains exhibit a surprising lubricating effect, which was most significant when the finest grains , with a size ratio, = d l /d s , larger than 3 and mass fractions over 25%, despite the increased packing fraction. We postulate that the small grains get between the large grains and reduce their intergrain friction, only when their mass fraction is sufficiently large to prevent them from simply rattling in the voids between the large particles. This is supported by our experimental observations of the largest lubrication effect produced by adding small glass beads to a bed of large sand particles with rough surfaces.

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Section: F Interpolation Modelsupporting

confidence: 77%

Section: Effect Of Packing Fractionmentioning

confidence: 99%

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Penetration in bimodal, polydisperse granular material

2016

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“…To maintain our focus of the disordered solid regime, we work with bidisperse mixtures of cells with different preferred geometric quantities. Inspired by disk packings that frustrate the hexagonal lattice [36], we choose a 50 : 50 mixture of N = 1024 cells with a 0,α /a 0,β = 4/3 for cell types α and β. We then scale the preferred perimeters of the cells so that the dimensionless target shape parameter q 0 ≡ p 0,i / √ a 0,i is identical for all cells.…”

Section: Voronoi Modelmentioning

confidence: 99%

Anomalous glassy dynamics in simple models of dense biological tissue

Sussman

Paoluzzi

Marchetti

et al. 2018

EPL

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Theory and modeling of glass transitions PACS 63.50.Lm -Vibrational states in amorphous solids PACS 61.20.Gy -Theory and models of liquid structure Abstract -In order to understand the mechanisms for glassy dynamics in biological tissues and shed light on those in non-biological materials, we study the low-temperature disordered phase of 2D vertex-like models. Recently it has been noted that vertex models have quite unusual behavior in the zero-temperature limit, with rigidity transitions that are controlled by residual stresses and therefore exhibit very different scaling and phenomenology compared to particulate systems. Here we investigate the finite-temperature phase of two-dimensional Voronoi and Vertex models, and show that they have highly unusual, sub-Arrhenius scaling of dynamics with temperature. We connect the anomalous glassy dynamics to features of the potential energy landscape associated with zero-temperature inherent states.

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“…Model system.-We study mixtures of N soft disks in D ¼ 2 dimensions with equal numbers of large and small disks having a 1.4∶1 ratio of their radii, a commonly studied model system [7,34]. Unless noted otherwise, N ¼ 65 536 prior to removing nonload bearing "rattlers".…”

mentioning

confidence: 99%