The fractal crushing of granular materials

McDowell, G. R.; Bolton, M. D.; Robertson, D. H.

doi:10.1016/s0022-5096(96)00058-0

Cited by 424 publications

(246 citation statements)

References 16 publications

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“…For a fractal grain size distribution, the number of particles that have dimension larger than d is N ( > d) = Cd −α in which C is a constant and α is the fractal dimension [37], while the number of particles in a fraction is [26]:…”

Section: Analysis Of Resultsmentioning

confidence: 99%

“…[15,16]). Soils that exhibit fractal distributions are often considered internally stable and it has been suggested that a fractal distribution with a fractal dimension of around 2.5-2.6 [26,30,34] may be used in most practical cases. Fractal characteristics may not manifest over an infinite range of sizes, because particles smaller than a "comminution" limit do not fracture [24].…”

Section: Introductionmentioning

confidence: 99%

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Breakage of an artificial crushable material under loading

2013

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The mechanical behaviour of granular materials depends on their grading. Crushing of particles under compression or shear modifies the grain size distribution, with a tendency for the percentage of fine material to increase. It follows that the frictional properties of the material and the critical states are modified as a consequence of the changes in grain size distribution and the available range of packing densities. This paper illustrates an extended experimental investigation of the evolution of the grading of an artificial granular material, consisting of crushed expanded clay pellets under different loading conditions. The changes of grading of the material after isotropic, one-dimensional and constant mean effective stress triaxial compression were described using a single parameter based on the ratio of the areas under the current and an ultimate cumulative particle size distribution, which were both assumed to be consistent with self similar grading with varying fractal dimension. Relative breakage was related to the total work input for unit of volume. For poorly graded samples, the observed maximum rate of breakage is practically independent of initial uniformity. Further

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Section: Analysis Of Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Breakage of an artificial crushable material under loading

2013

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“…These studies reviewed again several other works that were assessing the strength of irregular shaped particles. Most studies concluded that the highest tensile stress occurs in the centre of the particle and the strength of the material is given by the load at failure divided by the diameter squared [30,31] as presented in Tab. 1.…”

Section: Strength Calculation Of Brittle Spheres Under Uniaxial Comprmentioning

confidence: 99%

“…1 is able to convert the measured load at failure, F crit , into a strength (stress) value, crit . These equations just differ in the pre-factor and it is suggested to utilize the simplest approach with a prefactor of 1 as done for instance by [30][31][32][43][44][45]. The resulting equation can be written as 2 crit crit F d (15) Where crit is the stress leading to failure, F crit the load at failure and d the solid diameter of the LWA pellet.…”

Section: Fracture Origin and Calculated Strength For Lwa Pellets Withmentioning

confidence: 99%

Mechanical properties of lightweight aggregates

Bernhardt

Tellesbø²,

Justnes

et al. 2013

Journal of the European Ceramic Society

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Lightweight aggregates (LWA) were successfully produced both in a pilot-scale rotary kiln and in a laboratory chamber furnace. The mechanical properties of LWA were investigated in detail applying the European standard crushing resistance test (CR-test) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 stresses in the centre of the pellet and the strength was observed to increase exponentially with decreasing sample size. The relationship between the CR-and spc-test has been established facilitating "translation" of strength data between the two different test methods.

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“…Recent books on soil plasticity and modelling include Hashiguchi and Yamakawa (2013), Meier et al (2010), Nakai (2012), Negahban (2012), Pietruszczak (2010), Puzrin (2012), Yang et al (2013), and others. However, there is also a shift in the focus of much modern research, from continuum mechanics to particle mechanics (Bolton, 2000;Cundall, 2001;McDowell et al, 2011;Mesarovic et al, 2012;Seyedi Hosseininia, 2013).…”

Section: Introductionmentioning

confidence: 99%

Particle mechanics approach to continuum constitutive modelling

Dean¹

2015

Geotechnical Research

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The fractal crushing of granular materials

Cited by 424 publications

References 16 publications

Breakage of an artificial crushable material under loading

Breakage of an artificial crushable material under loading

Mechanical properties of lightweight aggregates

Particle mechanics approach to continuum constitutive modelling

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