A fractal model of contact force distribution and the unified coordination distribution for crushable granular materials under confined compression

Yang, Yi; Cheng, Yung Ming

doi:10.1016/j.powtec.2015.03.006

Cited by 31 publications

(9 citation statements)

References 53 publications

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“…The comprehension of the cushioning effect has been facilitated by the advances in DEM simulations, which allow to efficiently investigate the micromechanics of confined comminution . However, breakage probabilities in DEM simulations are often arbitrary, and the results have not been systematically confronted with experimental data.…”

Section: Introductionmentioning

confidence: 99%

Population balance in confined comminution using a physically based probabilistic approach for polydisperse granular materials

Ovalle

Voivret

Dano

et al. 2016

Num Anal Meth Geomechanics

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SUMMARYA novel, simplified approach is presented in order to compute variations of grading in granular assemblies during confined comminution under quasi-static compression. The method is based on a population balance equation and requires a breakage probability, considered here as a probabilistic phenomenon that takes into account the particle strength and the loading condition of individual grains. Under basic assumptions, a simple breakage probability can be defined in order to get a valuable result for engineering applications and powder technology. The size effect in the strength of individual particles is introduced according to Weibull's theory. The particle loading and the cushioning effect in the granular packing are accounted for by considering the orientations of the contact forces obtained from 3D discrete element method simulations of highly polydisperse materials. The method proposed could have a value for engineering purposes in powder technology and geomechanics and gives a general framework for further research developments based on population balance.

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Section: Introductionmentioning

confidence: 99%

Population balance in confined comminution using a physically based probabilistic approach for polydisperse granular materials

Ovalle

Voivret

Dano

et al. 2016

Num Anal Meth Geomechanics

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“…The main challenge in the replacement method is to define the breakage model parameters, such as the particle strength, the position of breakage planes and the number and size of the fragments (Ciantia et al, 2015;Yang and Cheng, 2015;Yang et al, 2018;Zhou et al, 2020).…”

Section: Methods To Simulate Particle Breakagementioning

confidence: 99%

Micro-mechanical analysis of caisson foundation in sand using DEM: Particle breakage effect

Wang

Yin

2020

Ocean Engineering

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“…The contact forces of granular media show certain distribution characteristics under shear, static stacking, uniaxial compression, and other conditions, and many researchers have explored this in depth [22,23]. Based on the abovementioned research, this paper intends to study the intensity characteristics of the contact force between particles in the flow process of granular matter under a flexible barrier through the distribution probability density of the contact force.…”

Section: Probability Distribution Density Of the Contact Forcementioning

confidence: 99%

Quantitative Study on the Contact Force and Force Chain Characteristics of Ore Particle Systems during Ore Drawing from a Single Drawpoint under the Influence of a Flexible Barrier

Chen

Qin

2020

Geofluids

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It is of great significance to carry out quantitative research on the contact force chain characteristics of ore particle systems during ore drawing to reveal the microscopic and mesoscopic characteristics of ore particle systems during implementation of the synchronous filling shrinkage stoping method. Based on the particle discrete element method, combined with the relevant knowledge of contact mechanics and statistical mechanics, microscopic properties of the ore particle system were studied quantitatively. (1) The probability distributions of the normal and tangential contact forces during ore drawing from a single drawpoint under a flexible barrier are similar, and both show exponential decay. (2) In the regions on both sides of the model, the ore particles will not be released because they are far from the drawpoint; there, the coordination number is stable, and the density of contact network is large. In the upper part of the drawpoint, ore particles flow, the coordination number fluctuates violently, and the density of contact network is small. (3) In the initial stage, the stress distribution of the ore particle system is uniform, and the strong force chain does not show obvious directivity. After that, the directions of the strong force chains in the ore particle system are inclined to the vertical direction, and the strong force chains mainly bear the load in the vertical direction. (4) In the initial stage of drawing, the normal contact force is mainly concentrated in the vertical direction. With the progression of drawing, the normal contact force at an angle of 30° to the horizontal direction increases gradually, and the number of the main direction of the average contact force distribution changes from one to three (the vertical direction and the direction with a ±30° angle to the horizontal direction).

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A fractal model of contact force distribution and the unified coordination distribution for crushable granular materials under confined compression

Cited by 31 publications

References 53 publications

Population balance in confined comminution using a physically based probabilistic approach for polydisperse granular materials

Population balance in confined comminution using a physically based probabilistic approach for polydisperse granular materials

Micro-mechanical analysis of caisson foundation in sand using DEM: Particle breakage effect

Quantitative Study on the Contact Force and Force Chain Characteristics of Ore Particle Systems during Ore Drawing from a Single Drawpoint under the Influence of a Flexible Barrier

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