Maximum angle of stability in wet and dry spherical granular media

Albert, Réka; Albert, István; Hornbaker, D. J.; Schiffer, P.; Barabási, Albert László

doi:10.1103/physreve.56.r6271

Cited by 142 publications

(111 citation statements)

References 15 publications

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“…Figure 2 depicts θ c as a function of ν d . We find that it increases approximately linearly, from tan θ c ≈ 0.45, a well established value for a wide variety of dry spherical grains [9], to tan θ c ≈ 1.1 for a sandpile comprised completely of dimers.…”

Section: Methodsmentioning

confidence: 77%

“…The development of the theoretical understanding of these results starts in the next section, Section III, in which the stability of a pile [of spherical grains] is posed as a geometrical problem. This section summarizes an earlier attempt to treat pile stability geometrically [9] and presents a different and more general strategy for the solution, which can be extended to include dimer grains. Using this approach, in Sec.…”

Section: Introductionmentioning

confidence: 99%

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Stability of monomer-dimer piles

et al. 2002

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We measure how strong, localized contact adhesion between grains affects the maximum static critical angle, θc, of a dry sand pile. By mixing dimer grains, each consisting of two spheres that have been rigidly bonded together, with simple spherical monomer grains, we create sandpiles that contain strong localized adhesion between a given particle and at most one of its neighbors. We find that tan θc increases from 0.45 to 1.1 and the grain packing fraction, Φ, decreases from 0.58 to 0.52 as we increase the relative number fraction of dimer particles in the pile, ν d , from 0 to 1. We attribute the increase in tan θc(ν d ) to the enhanced stability of dimers on the surface, which reduces the density of monomers that need to be accomodated in the most stable surface traps. A full characterization and geometrical stability analysis of surface traps provides a good quantitative agreement between experiment and theory over a wide range of ν d , without any fitting parameters. 45.70.Cc,61.43.Gt

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Section: Methodsmentioning

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Stability of monomer-dimer piles

et al. 2002

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“…where φ is whether an effective friction angle in a continuum medium approach or an average angle of the particles geometrical traps at the upper surface [25,26].…”

Section: Methodsmentioning

confidence: 99%

Sensitivity to solid volume fraction of gravitational instability in a granular medium

Bonnet¹,

Richard²,

Philippe³

2010

Granular Matter

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We report experimental results on incipient dynamics of gravitational destabilization in an immersed granular medium. Two protocols have been used to reach instability: a progressive loading and a dam-break situation. The instability triggering, analyzed by high-speed imaging and CIV post-processing, reveals distinct dynamical behaviours depending on the initial packing fraction of the medium. Two destabilisation modes have been observed: a surface avalanche and a deeper phenomenon that we called circular collapse.

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“…Doppler et al [8] note that upward flow tends to increase the pile stability while downward water flow tends to decrease it. Albert et al [1] also consider avalanching of (partially) wet particles with liquid bridges. The slope angles they find are smaller than those observed in the previous two studies, (perhaps due to wall effects) but increase due to cohesive forces caused by liquid bridges.…”

Section: Bed Activity and Beach Anglesmentioning

confidence: 99%

“…In total 80 measurements were performed to cover the parameter space spanned by wave-maker frequency f wm 2 [0.7, 1.3]Hz, and the initially quiescent bed and water levels B 0 2 [5,8]cm and W 0 = H 0 − B 0 2 [1,8]cm. All measurements were performed in a semi-random order.…”

Section: Quasi-steady Beach Morphologiesmentioning

confidence: 99%

Hele-Shaw beach creation by breaking waves: a mathematics-inspired experiment

et al. 2014

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Fundamentals of nonlinear wave-particle interactions are studied experimentally in a Hele-Shaw configuration with wave breaking and a dynamic bed. To design this configuration, we determine, mathematically, the gap width which allows inertial flows to survive the viscous damping due to the side walls. Damped wave sloshing experiments compared with simulations confirm that width-averaged potential-flow models with linear momen- 2A n t h o n y T h o r n t o n e t a l .tum damping are adequately capturing the large scale nonlinear wave motion. Subsequently, we show that the four types of wave breaking observed at realworld beaches also emerge on Hele-Shaw laboratory beaches, albeit in idealized forms. Finally, an experimental parameter study is undertaken to quantify the formation of quasi-steady beach morphologies due to nonlinear, breaking waves: berm or dune, beach and bar formation are all classified. Our research reveals that the Hele-Shaw beach configuration allows a wealth of experimental and modelling extensions, including benchmarking of forecast models used in the coastal engineering practice, especially for shingle beaches.

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Maximum angle of stability in wet and dry spherical granular media

Cited by 142 publications

References 15 publications

Stability of monomer-dimer piles

Stability of monomer-dimer piles

Sensitivity to solid volume fraction of gravitational instability in a granular medium

Hele-Shaw beach creation by breaking waves: a mathematics-inspired experiment

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