Relationships between particle size and fracture energy or impact velocity required to fracture as estimated from single particle crushing

Yashima, Saburô; Kanda, Yoshiteru; Sano, Shigeru

doi:10.1016/0032-5910(87)80030-x

Cited by 193 publications

(73 citation statements)

References 5 publications

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“…This is inspired by typical splitting configurations observed in fragile materials when subject to concentrated forces (e.g. Yashima et al, 1987;Cil & Alshibli, 2012).…”

Section: Particle Splitting and Lost Massmentioning

confidence: 99%

An approach to enhance efficiency of DEM modelling of soils with crushable grains

Ciantia¹,

Arroyo²,

Calvetti³

et al. 2015

Géotechnique

164

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In this study oedometric compression tests of hydrocarbon coke, Fontainebleau sand and silica sand are simulated in three dimensions using breakable particles. The method adapts a rigorous breakage criterion for elasto-brittle spheres to represent failure of grains isolated between platens or within granular masses. The breakage criterion allows for the effect of particle bulk and contact properties to be treated separately. A discrete fragmentation multigenerational approach is applied as a spawning procedure. The number of particles quickly increases during the simulation, but is kept manageable by systematic fine exclusion and upscaling. Fine exclusion leads to mass losses between generations, but that loss is accounted for outside the mechanical model. Sensitivity analysis shows that it is enough to keep 53% of the crushed particle mass within the mechanical model to correctly reproduce experimental macroscopic behaviour. Practical upscaling rules are proposed for (a) contact stiffness, (b) breakage criteria and (c) grain size distribution, and validated simulating the same test, reducing by half the initial number of particles. The results are promising as both the mechanical and grading evolution are well captured with two orders of magnitude savings in computing efficiency.

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“…This is inspired by typical splitting configurations observed in fragile materials when subject to concentrated forces (e.g. Yashima et al, 1987;Cil & Alshibli, 2012).…”

Section: Particle Splitting and Lost Massmentioning

confidence: 99%

An approach to enhance efficiency of DEM modelling of soils with crushable grains

Ciantia¹,

Arroyo²,

Calvetti³

et al. 2015

Géotechnique

164

View full text Add to dashboard Cite

show abstract

“…The limiting distribution may arise by the following reasons: First, the progeny will become so small that successive fracturing might be difficult. Interestingly, Yashima et al [20] reported in an earlier study on single-particle impact breakage of natural materials that the specific fracture energies increased rapidly for particles less than 500 µm. Secondly, successive breakage events eventually form a pile of fragments between the flat surfaces of the anvil and the drop weight, such that particlebed breakage, rather than single-particle breakage, prevails either during the later stages of the primary impact or during the impacts after rebounds of the drop weight.…”

Section: Methodsmentioning

confidence: 99%

Linking impact-related progeny sizes of cement clinker to modes of single-particle breakage

Camalan

Hoşten

2016

E3S Web Conf.

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Abstract. Fragmentation of particulate solids is an important process in many industrial activities, particularly in the mineral, cement and glass industries to comminute the raw materials to a required size. Understanding of processes and mechanisms responsible for fragmentation of particulate solids is a hard task. This may bring great precision for designing and controlling the comminution process. This work aims to contribute to understanding fragmentation of cement clinker particles under impact loading. For this purpose, six narrowsize classes of Portland clinker were fragmented with varying specific impact energy levels in a drop weight test apparatus. Then, breakage probabilities and functions of these size classes were determined from the product size distributions. The calculated breakage functions show evidences for the modes of breakage (meridian cracks to oblique cracks and shattering) given in the literature. Results of this study indicate that self-similarity of progeny size distributions can only be achieved, regardless of particle size and impact energy, if the particles have the same breakage probability, that is the same mode of breakage.

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“…Researchers have reported in the literature that as particle size reduces, particle strength increases (36,37). Figure 27 shows the percentage mass decrease with regard to impact velocity, particle size and material type.…”

Section: Relationshipsmentioning

confidence: 99%

Breakage Characteristics of Granulated Food Products for Prediction of Attrition during Lean-Phase Pneumatic Conveying

Kotzur

Bradley

Berry

et al. 2016

International Journal of Food Engineering

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Pneumatic conveying is utilised in a variety of industries to convey food products exhibiting diverse handling characteristics. Attrition of particles caused by this conveying process can result in a number of undesirable outcomes such as loss in product quality or issues in subsequent handling processes. The ability to predict the breakage behaviour of particulate materials is desirable in both new system design and resolving issues in existing plants. This work considers two different particulate materials (Salt and Golden Breadcrumbs) across a range of particle sizes, and quantifies their breakage behaviour under varying impact conditions. Narrow size fractions of each material was degraded; material retained on 250 µm and 355 µm sieves for salt, and 500µm, 710µm and 1000 µm sieves for Golden Breadcrumbs.Velocity was found to be the most influential factor with respect to particle attrition. The results from the narrow size fraction tests were superimposed to form a simulated full size distribution breakage behaviour, which was then compared to the experimentally determined behaviour. A good agreement was found, however the proportion of material predicted for size fractions smaller than 355 µm for Golden Breadcrumbs and 180 µm for Salt was under-predicted. Recommendations for increasing accuracy of the prediction method are given.

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Relationships between particle size and fracture energy or impact velocity required to fracture as estimated from single particle crushing

Cited by 193 publications

References 5 publications

An approach to enhance efficiency of DEM modelling of soils with crushable grains

An approach to enhance efficiency of DEM modelling of soils with crushable grains

Linking impact-related progeny sizes of cement clinker to modes of single-particle breakage

Breakage Characteristics of Granulated Food Products for Prediction of Attrition during Lean-Phase Pneumatic Conveying

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