A packing algorithm for particles of arbitrary shapes

Jia, Xiaodong; Williams, Richard A.

doi:10.1016/s0032-5910(01)00268-6

Cited by 193 publications

(105 citation statements)

References 16 publications

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“…By a further increase of n m , the packing fraction levels out, while the computational time keeps increasing. Jia and Williams [6] showed a similar effect on packing fraction by the speed of addition of particles in their models.…”

Section: Methodsmentioning

confidence: 72%

“…Besides these ideal disks and spheres also spheroids and irregular particles are studied [5][6][7][8]. In this paper, the packing of digitized particles is studied.…”

Section: Introductionmentioning

confidence: 99%

“…Jia and coworkers [6,12,13] have also performed simulation using digitized particles. Their research mainly focused on packing of particles of arbitrary shapes mostly in 2D, while the current research focus on regularly shaped particles in three dimensions.…”

Section: Introductionmentioning

confidence: 99%

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Random packing of digitized particles

Korte

Brouwers

2013

Powder Technology

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a b s t r a c t a r t i c l e i n f oThe random packing of regularly and irregularly shaped particles has been studied extensively. Within this paper, packing is studied from the perspective of digitized particles. These digitized particles are developed for and used in cellular automata systems, which are employed for the simple mathematical idealizations of complex systems in physics, chemistry and engineering [S. Wolfram, Rev. Mod. Phys. 55, 601-644 (1983)]. In the present paper, the random packing of digitized particles is studied using the packing routines 561-583 (1990)]. It is shown that the packing of digitized particles is comparable to spheres, when taking into account the specific properties of digitized particles.

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Section: Methodsmentioning

confidence: 72%

“…Besides these ideal disks and spheres also spheroids and irregular particles are studied [5][6][7][8]. In this paper, the packing of digitized particles is studied.…”

Section: Introductionmentioning

confidence: 99%

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Random packing of digitized particles

Korte

Brouwers

2013

Powder Technology

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“…The mesostructure is projected into a regular lattice, so collision and overlap detection is a straightforward exercise of finding out whether two particles occupy the same site(s), rather than having to compute and test intersections between any two particles, which is usually very expensive for non-spherical particles [11]. By varying the ratio a:b:c, four distinctive shapes ranging from spheres to elongated and disc shaped particles can be obtained.…”

Section: Non-spherical Aggregate Particlesmentioning

confidence: 99%

Modelling the diffusivity of mortar and concrete using a three-dimensional mesostructure with several aggregate shapes

Abyaneh

Wong

Buenfeld

2013

Computational Materials Science

166

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This paper presents a numerical investigation into the effect of ITZ and aggregate shape on the diffusivity of mortar and concrete using a three-dimensional model. Concrete is treated as a three-phase composite consisting of aggregate particles, bulk cement paste and aggregate-paste interface, i.e. the 'interfacial transition zone' (ITZ). The model is set up in two stages. First, a three-dimensional representative volume element of the concrete mesostructure is generated. Then, a finite difference method is used to simulate molecular diffusion through the mesostructure. The transport properties of the conductive phases (bulk cement paste and ITZ) are determined based on the water/cement ratio, degree of hydration and porosity gradients away from aggregate particles. The model is validated against available experimental data and compared with analytical relationships for ideal cases. The model is then used to study the effect of aggregate shape on diffusivity, which has not been attempted before in three-dimensions. The model is also applied to assess the effects of water/cement ratio, degree of hydration, aggregate size, volume fraction, shape and orientation, ITZ width and percolation on diffusivity. Some of these effects are impractical to quantify from laboratory experimentation alone. It was found that the shape and orientation of aggregate particles have a significant effect on diffusivity. Diffusivity decreased when spherical aggregate particles are replaced with ellipsoidal particles due to the consequent increase in tortuosity of the cement paste.Keywords: Concrete; Mortar; Cement-based materials; Modelling; Diffusivity; Aggregate shape Highlights:• Diffusivity of cementitious materials is modelled using a three-dimensional model.• The required characteristics of Representative Elementary Volume were investigated.• The simulations were verified by comparing with experimental and analytical results.• The effects of different variables influencing diffusivity were investigated.• The diffusivity decreased with the increase of aspect ratio of aggregate particles.

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“…The rationale behind this was to reduce the requirement for expensive and repetitive experiments needed to assess the effectiveness of packed beds currently used within industries where filtration is an important part of their processes. The final step in the development of a virtual permeameter is to replace the need for X-ray micro-tomography scans of actual bed samples by a digital particle packing algorithm (Jia and Williams, 2001) which would be used to construct digital representations of a bed and hence provide input to the LBM calculations, although that is beyond the scope of the present work.…”

Section: Discussionmentioning

confidence: 99%

Studies for the development of a virtual permeameter

Caulkin

Islam

Jia

et al. 2014

Computers & Chemical Engineering

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A systematic analysis on the use of the lattice Boltzmann method (LBM) for predicting the permeability of packed beds is presented. A filtration rig is used to obtain permeability measurements of beds of glass beads, sand and crushed minerals. Subsequently, X-ray microtomography is employed to image bed samples for use as input to LBM calculations. Uncertainties in accuracy and reliability of predictions arising from pixel resolution, sample size and digitisation errors in the simulations are evaluated through sensitivity studies and assessments of the representativeness of the bed samples. For beds of spherical and nearspherical particles, any bed sample is capable of providing reproducible and reliable simulation results provided that the particles are adequately resolved within an LBM simulation . For more complex beds of polymorphous, polydisperse particles estimation of the permeability of representative samples of the entire bed is required before average results comparable with data are obtained.

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A packing algorithm for particles of arbitrary shapes

Cited by 193 publications

References 16 publications

Random packing of digitized particles

Random packing of digitized particles

Modelling the diffusivity of mortar and concrete using a three-dimensional mesostructure with several aggregate shapes

Studies for the development of a virtual permeameter

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