Bonded-cell model for particle fracture

Nguyen, Duc-Hanh; Azéma, Émilien; Sornay, Philippe; Radjaï, Farhang

doi:10.1103/physreve.91.022203

Cited by 62 publications

(68 citation statements)

References 88 publications

(92 reference statements)

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“…It was shown that the shear strength remains constant due to a compensation between the contact and branch length anisotropies, while force anisotropy and friction mobilization remain constant. As shown previously [6,12], these results confirm that, as the size span of the PSD increases, the system is more and more connected and larger forces tend to be captured by larger particles.…”

Section: Discussionsupporting

confidence: 75%

“…This has already been observed, also by means of discrete element simulations, for samples with uniform distributions by volume fraction [6,12]. In these cases, only the PSD size span was varied in samples with uniform distributions by volume fraction.…”

Section: Discussionmentioning

confidence: 54%

“…It can be seen that, regardless of b, the shear strength is almost independent of s and close to 0.28. This has been previously observed for samples composed of circular [12] and polygonal [6] particles with a uniform distribution by volume fraction. Our results extend this counterintuitive observation to the family of Sshaped PSDs described by Eq.…”

Section: Macroscopic Shear Strengthmentioning

confidence: 62%

“…Recently, this strategy has been used successfully to analyze the effect of the PSD on packing fraction and shear strength (see Refs. [2][3][4][5][6]), focusing on the comparison between bi-disperse and continuous PSDs, as well as on uniform distributions by volume fraction. Works exploring the effect of the PSD shape by means of discrete element simulations are rare (see Refs.…”

Section: Introductionmentioning

confidence: 99%

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Does modifying the particle size distribution of a granular material (i.e., material scalping) alters its shear strength?

Azéma

Linero²,

Estrada

et al. 2017

EPJ Web Conf.

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Abstract. By means of two dimensional contact dynamics simulations, we analyzed the effect of the particle size distribution (PSD) on the shear strength of granular materials composed of un-breakable disks. We modelled PSDs with a normalized beta function, which allows for building S-shaped gradation curves, such as those that typically occur in soils. We systematically controlled and varied the size span and the shape of the PSD, and found that the shear strength is independent both characteristics. This implies that PSD modification procedures such as material scalping (i.e., removing the smallest and/or largest particles in the sample) should not affect significantly the shear strength of the material composed of unbreakable discs. In order to explore the origins of the invariance of the shear strength with PSD, we analyzed the connectivity, force transmission, and friction mobilization in terms of anisotropies, finding that the constant shear strength is due to a subtle compensation of anisotropies.

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Section: Discussionsupporting

confidence: 75%

Section: Discussionmentioning

confidence: 54%

Section: Macroscopic Shear Strengthmentioning

confidence: 62%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Does modifying the particle size distribution of a granular material (i.e., material scalping) alters its shear strength?

Azéma

Linero²,

Estrada

et al. 2017

EPJ Web Conf.

Self Cite

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“…Using high performance GPU's, [73] investigated the size effects in granular mixture flows, whereas [74] used it to simulate fractures in heterogeneous media. Additionally, to bridge the gap between ideal and realistic mixtures, studies have also considered to simulate non-spherical particles using the GPU-based framework, see [75] for triangular particles, [76,77] for convex polyhedrals.…”

Section: Segregation Modelsmentioning

confidence: 99%

Polydisperse granular flows over inclined channels

Tunuguntla¹

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POLYDISPERSE GRANULAR FLOWS OVER INCLINED CHANNELS DISSERTATIONto obtain the degree of doctor at the University of Twente, on the authority of the rector magnificus, Prof. dr. H. Brinksma, on account of the decision of the graduation committee, to be publicly defended on Friday 9 October 2015 at 16:45 hrs by Deepak Raju Tunuguntla born on the 3rd of November 1986 in Hyderabad, India. Granular materialsEverything seems simpler from a distance. -Gail TsukiyamaMatter exists in a variety of forms, of which granular materials -although simplebehave differently from any of the other standard forms (solid, liquid and gas). For example, a sand castle appears like a solid, which when tumbled upon, crumbles down like an avalanche. On a few occasions, this avalanche takes down the whole castle, whereas sometimes it is confined only to a thin layer on its surface (liquid). In another example, shake up some crushed ice in a cocktail mixer and it behaves like a gas, whereas when trying to pour some salt out of an orifice of a jar, the flow tends to choke and gets clogged at the orifice. Granular material has it all, solid, liquid, gas, plastic flow, glassy, etc. -it can mimic all of these behaviours. Thus exhibiting a prime reason for investing our interest in understanding these simple but, mysterious materials. HistoryOur knowledge of granular matter dates back to an era even before mankind's existence. These materials exist on a range of scales -micron sized to planetary -in a variety of forms, exhibiting multitudes of interesting phenomena. The earliest encounter between man and granular matter happened in the surroundings in which he evolved, i.e. with soil, sand, stones, rocks, etc., but more importantly it was his need for survival that ultimately led to an inevitable bond between humanity and granular matter, existing till today. Historical records indicate that primitive men often settled along the river banks where fresh food was available throughout the year. However, due to climatic changes coupled with migration of primitive tribes, new food gathering methods had to be devised. Man needed to find some way to store the nutrients for periods of time when no fresh food was available. Seeds, such as cereal grains, seemed to be one way to solve 1 1 2 Introduction Figure 1.1: Facsimile of a famous scene from a wall painting on the tomb of Djehutihotep, a pharoah (circa 1932(circa -1842. It illustrates his huge monolithic statue being transported from the quarries. In the front of the statue (near the feet) we see a workman pouring water to lubricate the sand, helping the four rows of workmen, 43 men in each, to haul the sledge smoothy (less friction). The figure is adapted from Dowson [1].the storage problems. Ultimately around 8000 BCE, during neolithic revolution, this seed storage led man towards becoming more agriculturally oriented. Grains were likely among the first cultivated crops. They could be grown relatively easily, farmed in surplus quantities and were suitable for storage in harsh cold winter climat...

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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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Bonded-cell model for particle fracture

Cited by 62 publications

References 88 publications

Does modifying the particle size distribution of a granular material (i.e., material scalping) alters its shear strength?

Does modifying the particle size distribution of a granular material (i.e., material scalping) alters its shear strength?

Polydisperse granular flows over inclined channels

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

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