On the Bottom Pressure Distribution of Bulk Materials in the Cylindrical Vessel

Jotaki, Tomosada; Moriyama, Ryuichi

doi:10.4164/sptj1964.14.609

Cited by 15 publications

(21 citation statements)

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“…An alternative explanation may be found in the fact that a conical pile has a stress dip near the center of the pile (Jotaki and Moriyama, 1979;Vanel et al, 1999). Experimental observations of bottom pressure have shown that localized sources (pouring grains from a funnel with a small outlet) yield stress profiles with a clear dip and homogeneous sources (raining from a large sieve) yield no dip.…”

Section: Discussionmentioning

confidence: 99%

“…Experimental observations of bottom pressure have shown that localized sources (pouring grains from a funnel with a small outlet) yield stress profiles with a clear dip and homogeneous sources (raining from a large sieve) yield no dip. Arching formed by granular material within the pile has been considered to be responsible for the existence of the dip (Jotaki and Moriyama, 1979). This suggests that the spatial stress profiles called stress chains inside the pile is not homogeneous but very much complex, where forces are carried by a small fraction of the total number of grains (Vanel et al, 1999).…”

Section: Discussionmentioning

confidence: 99%

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A sandpile experiment and its implications for self-organized criticality and characteristic earthquake

Yoshioka

2014

Earth Planet Sp

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We have performed an experiment in which a conical sandpile was built by slowly dropping sand onto a circular disk through a funnel with a small outlet. Avalanches (sand dropping off the disk) occurred, the size and the number of which were observed. It was seen that the behavior of avalanches (frequency-size distribution) was determined solely by the ratio of grain size to disk size, which is consistent with earlier studies. We categorize the behavior into three types: (1) the self-organized criticality (SOC) type (obeying Gutenberg-Richter's law), (2) the characteristic earthquake (CE) type where only large avalanches are almost periodically generated, and (3) the transition type. The transition from SOC to CE type drastically occurs when the ratio of grain diameter to disk radius is reduced to about 0.02. The underlying mechanism to cause the transition is considered. Results of simulation by cellular automaton models, an experimental result showing that a conical pile has a stress dip near its center, and a two-dimensional simulation building up a conical pile, all suggest that the transition occurs due to a change in stress profile inside and near the surface of the pile. Although we are unfortunately not able to understand the detailed mechanism at the present stage, it seems very important to further investigate the underlying physics of the transition because it presumably provides us a clue to understand the mechanism of the periodicity of large characteristic earthquakes and may open a way for earthquake prediction.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

A sandpile experiment and its implications for self-organized criticality and characteristic earthquake

Yoshioka

2014

Earth Planet Sp

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“…2 to the formation of the normal stress distribution is also similar to that of the conical pile. The normal stress distribution has a clear minimum at the center but the value of the dip is smaller than that for the conical pile as shown in Figures 7a and 9b (1) and also shown in the experimental data. 4 When the pile is constructed by the granular flow spread to the outer zone, the stress difference between the peak and the central minimum in the wedge-shaped pile produced by the twodimensional spread flow is smaller than the stress difference in the conical pile produced by the three-dimensional flow.…”

Section: Effect Of Deposition Radius Ratiomentioning

confidence: 57%

“…[1][2][3][4][5] Their experimental data show a central stress minimum on a base. Their data indicate that the stresses normalized by q ba gH on the base are nearly independent of the height from the pouring nozzle to the base, the base diameter and the size of granular materials.…”

Section: Introductionmentioning

confidence: 99%

An elucidation for the central stress minimum in granular piles using the smoothed particle hydrodynamics

Yuu¹,

Umekage

2016

AIChE Journal

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Stress distributions on bases of granular piles were predicted based on the constitutive relations obtained by the discrete element method (DEM) using the smoothed particle hydrodynamics to elucidate the mechanism of the central stress minimum beneath piles. The calculated stress distributions are in good agreement with the experimental data of many researchers. A stress peak and a central stress minimum are mainly formed by the granular flows in a pile construction. The location of the stress peak was the same location of the minimum granular velocity before the granular pile became stationary. This suggests that the location of the stress peak corresponds to the base of the granular arching. The stresses distributions on the bases by a homogeneous falling showed the central stress maximum. The low shear stress gradient by the homogeneous falling produces a central stress peak with a gentle slope.

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“…In particular the micro-and macro-mechanics have focused research activity following experimental [3][4][5][6][7] and numerical [8][9][10][11] observations of nonuniform stress fields [12]. Specifically, stresses frequently appear to be supported by arch-like regions, termed force chains, that cannot be straightforwardly described by conventional approaches [13][14][15]. It has been recognized that to understand this phenomenon it is essential to first understand transmission of stresses in 'isostatic' systems [12].…”

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confidence: 99%

Stress Transmission and Isostatic States of Non-Rigid Particulate Systems

Blumenfeld

Modeling of Soft Matter

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Abstract. The isostaticity theory for stress transmission in macroscopic planar particulate assemblies is extended here to non-rigid particles. It is shown that, provided that the mean coordination number in d dimensions is d + 1, macroscopic systems can be mapped onto equivalent assemblies of perfectly rigid particles that support the same stress field. The error in the stress field that the compliance introduces for finite systems is shown to decay with size as a power law. This leads to the conclusion that the isostatic state is not limited to infinitely rigid particles both in two and in three dimensions, and paves the way to an application of isostaticity theory to more general systems.

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On the Bottom Pressure Distribution of Bulk Materials in the Cylindrical Vessel

Cited by 15 publications

References 0 publications

A sandpile experiment and its implications for self-organized criticality and characteristic earthquake

A sandpile experiment and its implications for self-organized criticality and characteristic earthquake

An elucidation for the central stress minimum in granular piles using the smoothed particle hydrodynamics

Stress Transmission and Isostatic States of Non-Rigid Particulate Systems

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