Descriptive classification of the impact failure modes of spherical particles

Salman, Agba D.; Reynolds, Gavin K.; Fu, Jinsheng; Cheong, Y.S.; Biggs, Catherine A.; Adams, M.J.; Gorham, D.A.; Lukenics, J; Hounslow, Michael J.

doi:10.1016/j.powtec.2004.04.005

Cited by 67 publications

(39 citation statements)

References 24 publications

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“…Shear fractures extended from the cone diverge to lateral side of the sphere. These features of failure pattern are consistent well with laboratory experiments 6), 7) and numerical experiments 8), 9) . We show some failure patterns observed in laboratory experiments in Figure 4.…”

Section: Resultssupporting

confidence: 90%

Numerical simulation of brittle failure of rock using MPS method and DEM

Takekawa

Mikada

2018

Recent Advances in Exploration Geophysics

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We developed a novel method for simulating brittle failure of rock based on the combination of the moving particle semi-implicit (MPS) and the discrete element methods (DEM). The MPS method is a kind of particle methods, and can simulate behavior of continuous bodies without going through a calibration process. On the other hand, DEM is used to calculate collision of fragments after macroscopic failure. This strategy can simulate deformation behavior of rock in not only pre-failure but also post-failure behavior in a seamless manner. We evaluate the effectiveness of the proposed method using a numerical experiment. Our experiment consists of a brittle sphere and a steel plate. The sphere collides with the plate with a certain speed. The failure criterion is only applied to particles constitute the brittle sphere. We compare the failure pattern of the brittle sphere with that of a laboratory experiment. Our result shows excellent agreement with the laboratory result. This indicates that the proposed method could be an alternative to the conventional numerical methods for simulating discontinuous behavior of brittle materials.

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Section: Resultssupporting

confidence: 90%

Numerical simulation of brittle failure of rock using MPS method and DEM

Takekawa

Mikada

2018

Recent Advances in Exploration Geophysics

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“…The results conform to twodimensional discrete element simulations of the particle deformation by impact. Salman et al 10,25,26) conducted many research projects on the breakage rate of particles due to impact. He found a simple function of the impact velocity v that is based on a Weibull statistic 20) and that provided a very close fit to most of his experimental…”

Section: Hemispherical Approachmentioning

confidence: 99%

The Investigation of Breakage Probability of Irregularly Shaped Particles by Impact tests

Aman

Tomas

Müller

et al. 2011

KONA

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The modelling of experimental distributions of breakage energy by compression and impact was carried out. In terms of our model, the part of the particle that is directly contacted with the stressing tool is admitted into the equation as a hemispherical asperity with known breakage energy distribution. The main contribution of stressing energy is accumulated by this hemispherical asperity that is responsible for crack generation and particle breakage. The breakage probability distribution of particles is calculated as a superposition of the breakage probabilities of asperities. Based on geometrical similarity, one can assume the same normalized log-normal size distribution of asperities for all tested particles of a given material. As a result, all experimental distributions of normalized breakage energy can be fitted with the same log-normal function for all particle sizes.

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“…As a result of the impact of spherical solids, a crushed zone is developed just below the contact area, surrounded by a region where several macro-cracks usually break the solid (Chau et al, 2000;Salman et al, 2004;Santurbano and Fairhurst, 1991). When the impact force is high, the material is significantly deformed by the high compressive and shear stresses under the contact area.…”

Section: Fragmentation Patternsmentioning

confidence: 99%

“…Experiments on spherical samples have shown that under normal impact cracks propagate and divide the sphere symmetrically, while oblique impact results in the formation of unsymmetrical fracture about the impact axis (Cheong et al, 2003). In oblique impact, the normal component of impact velocity is responsible for rupture, while the tangential one only affects the symmetry condition of fragmentation (Gorham and Salman, 2005;Maxim et al, 2006;Salman et al, 2004).…”

Section: Impact Velocity and Anglementioning

confidence: 99%

“…The two main impact loading experiments reported in the literature are the drop-shatter and the double impact tests (Table 1). The drop-shatter test consists in impacting spherical solids on a target with different velocities (Cheong et al, 2003;Salman et al, 2004), whereas the double-impact test is the dynamic counterpart of the static diametral compression of spheres between two rigid platens (Chau et al, 2000;Wu et al, 2004). Experiments using non-spherical solids include the fragmentation of cubes (Giacomini et al, 2009), cylinders (Shockey et al, 1974), slabs (Grange et al, 2008), and beams (Riou et al, 1998).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A direct fragmentation method with Weibull function distribution of sizes based on finite- and discrete element simulations

Paluszny

Tang

Nejati

et al. 2016

International Journal of Solids and Structures

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A direct method is proposed to rapidly fragment bodies during impulse-based discrete element method simulations of multiple body interactions. The approach makes use of patterns and size distributions obtained both from experiments, and from numerical models that rigorously compute fragmentation by growing fractures explicitly. Weibull parameters approximate the fragment size distributions as a function of body size and relative contact velocity. Structured domain decomposition is applied on the colliding bodies directly, resulting in a low-cost fragmentation calculation that depends on relative velocity, but which does not require the computation of fracture growth nor explicit element de-bonding, but instead classifies pre-existing mesh elements into the newly fragmented sub-domains. The method is applied to the fragmentation of a single spherical rock fragment, to an irregularly shaped rock fragment, and to the crushing of an array of spherical rock fragments.

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Descriptive classification of the impact failure modes of spherical particles

Cited by 67 publications

References 24 publications

Numerical simulation of brittle failure of rock using MPS method and DEM

Numerical simulation of brittle failure of rock using MPS method and DEM

The Investigation of Breakage Probability of Irregularly Shaped Particles by Impact tests

A direct fragmentation method with Weibull function distribution of sizes based on finite- and discrete element simulations

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