Adapting a breakage model to discrete elements using polyhedral particles

Tavares, Luís Marcelo; André, Flávio P.; Potapov, A. V.; Maliska, Clóvis R.

doi:10.1016/j.powtec.2019.12.007

Cited by 48 publications

(44 citation statements)

References 33 publications

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“…This effect of stiffness of the parts in contact can be dealt with readily using Eqn. (9) either in the case of applying the model to continuum distributions, such as in microscale population balance model formulations (Tavares, 2017), and in discrete forms imbedded in DEM (Tavares et al, 2020a;. Fig.…”

Section: Effect Of Stiffness On Body Breakage Probabilitymentioning

confidence: 99%

“…Eqns. ( 11) and ( 12) are useful when the model is applied to individual particles, such as when it is embedded in a DEM simulation (Tavares et al, 2020a;). An alternative formulation of the model, useful when it is applied in a continuum, such as associated to microscale population balance formulations (Tavares and Carvalho, 2009;Carvalho and Tavares, 2013;Oliveira et al, 2020), is given by…”

Section: Weakening By Repeated Stressing Eventsmentioning

confidence: 99%

“…Adapting the present model to describe breakage of discrete particles in DEM has been carried out by different methods, depending on the shapes of particles. In the case of polyhedral particles (Tavares et al, 2020a) these have been used as part of the Voronoi tessellation scheme to create the appropriate fragment size distribution and are implemented in the commercial software Rocky DEM. On the other hand, in order to represent breakage of spherical particles in a DEM simulation, families of spherical progeny have been created for a variety of values of t 10 using a procedure described elsewhere (Tavares and Chagas, 2021).…”

Section: Breakage Distribution Functionmentioning

confidence: 99%

“…where k is a variable introduced because the mean and the median values of the distribution do not coincide (Tavares and Chagas, 2021). This expression has been used in as- sociation to discrete implementations of the model for the case of either spherical (Tavares and Chagas, 2020; or polyhedral particles (Tavares et al, 2020a) in DEM.…”

Section: Effect Of Particle Size and Stressing Energy On Body Breakage Distributionmentioning

confidence: 99%

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Review and Further Validation of a Practical Single-Particle Breakage Model

Tavares

2022

KONA

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Particle breakage occurs in comminution machines and, inadvertently, in other process equipment during handling as well as in geotechnical applications. For nearly a century, researchers have developed mathematical expressions to describe single-particle breakage having different levels of complexity and abilities to represent it. The work presents and analyses critically a breakage model that has been found to be suitable to describe breakage of brittle materials in association to the discrete element method, either embedded in it as part of particle replacement schemes or coupled to it in microscale population balance models. The energy-based model accounts for variability and size-dependency of fracture energy of particles, weakening when particles are stressed below this value, as well as energy and size-dependent fragment size distributions when particles are stressed beyond it, discriminating between surface and body breakage. The work then further validates the model on the basis of extensive data from impact load cell and drop weight tests. Finally, a discussion of challenges associated to fitting its parameters and on applications is presented.

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Section: Effect Of Stiffness On Body Breakage Probabilitymentioning

confidence: 99%

Section: Weakening By Repeated Stressing Eventsmentioning

confidence: 99%

Section: Breakage Distribution Functionmentioning

confidence: 99%

Section: Effect Of Particle Size and Stressing Energy On Body Breakage Distributionmentioning

confidence: 99%

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Review and Further Validation of a Practical Single-Particle Breakage Model

Tavares

2022

KONA

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“…One of the critical needs in milling is to understand charge flow inside the cylindrical mill shell. Since the internal forces produced inside the charge mass are the cause for particle size reduction, this study has fallen under the realm of the numerical methods known as the Discrete Element Method (DEM) (Tavares et al, 2020). It provides a direct numerical simulation of the motion of thousands of particles tumbling inside the cylindrical mill shell, and besides, the forces acting on the particles can be used to model particle breakage.…”

Section: Introductionmentioning

confidence: 99%

Verification of Polyhedral DEM with Laboratory Grinding Mill Experiments

Puga

Govender

Rajamani

2022

KONA

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The simulation of grinding mills with the discrete element method (DEM) has been advancing. First, it emerged as a method for studying charge motion with spherical balls and predicting the power draw of the mill. Subsequently, studies on liner wear, charge motion with ellipsoidal and polyhedral shaped particles simulated with three dimensional DEM followed. Further, the impact energy spectra computed in the DEM algorithm is leading to the development of models for the breakage of brittle particles in mills. The core elements in such simulations are the shape of particles in the mill charge and the power draw of the mill due to operating variables. To advance the field, we present a set of experimental data and the corresponding DEM validation results for a 90 × 13 cm mill. The DEM algorithm uses the volume-overlap method which is more realistic for multifaceted irregular particle collisions. Further, we use the scanned shape of the rock media and multifaceted spherical shape for the grinding media to represent as close as possible the actual charge in the mill. First, we present DEM validation for spherical grinding media-only experiments, rock-only experiments, and a mixture of spherical grinding media and rocks, as well as aluminum cubes only to represent the theme of particle shape. Finally, a discussion of the contact mechanics parameters in the four modes of experiments is given. Since the feed ore to plant scale mills can vary in shape, mill simulations with scanned shape of typical particles are the future for more accurate results.

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Breakage behavior of silica sands during high-pressure triaxial loading using X-ray microtomography

Zhang,

Song

et al. 2023

Acta Geotech.

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Adapting a breakage model to discrete elements using polyhedral particles

Cited by 48 publications

References 33 publications

Review and Further Validation of a Practical Single-Particle Breakage Model

Review and Further Validation of a Practical Single-Particle Breakage Model

Verification of Polyhedral DEM with Laboratory Grinding Mill Experiments

Breakage behavior of silica sands during high-pressure triaxial loading using X-ray microtomography

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