Breaking processes in three-dimensional bonded granular materials with general shapes

Galindo‐Torres, S. A.; Pedroso, Dorival M.; Williams, David J.; Li, Ling

doi:10.1016/j.cpc.2011.10.001

Cited by 110 publications

(58 citation statements)

References 61 publications

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“…As explained in Refs. [20][21][22], for the construction of a granular assembly an initial cubic grid is filled with points at random positions restricted to one point per cell. Then the Wigner-Seitz polyhedron is calculated for each random point.…”

Section: B Voronoi Construction Of Porous Mediamentioning

confidence: 99%

Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media

Galindo‐Torres

Scheuermann

2012

Phys. Rev. E

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Pore-scale flow simulations were conducted to investigate the permeability tensor of anisotropic porous media constructed using the Voronoi tessellation method. This construction method enabled the introduction of anisotropy to the media at the particle level in a random and yet controllable way. Simulations were carried out for media with different degrees of anisotropy through varying the mean aspect ratio of grain particles. The simulation results were then analyzed using the Kozeny-Carman (KC) model. The KC model describes the permeability of the anisotropic media in a tensor form with the anisotropy represented by different tortuosities along the three principal directions. The tortuosity tensor was found to be a complex function of the particle morphology, which is yet to be fully determined. However, the results presented have established the starting point for further theoretical development to formulate such a function and to build closed-form analytical permeability models for anisotropic porous media based on first principles.

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Section: B Voronoi Construction Of Porous Mediamentioning

confidence: 99%

Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media

Galindo‐Torres

Scheuermann

2012

Phys. Rev. E

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“…Such bonded cell models (BCM) involve extended intercellular contacts that need to be modeled differently from contacts between spherical particles. In previous studies, the cells were interconnected by linear springs with a breaking threshold [49,50]. The representation of intercellular contacts by a linear force law as that between spherical subparticles is, however, an unphysical approximation since the contacts extend along a line [in two dimensions (2D)] or a surface (in 3D) between cells and thus their treatment needs at least two or three displacement variables, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…To circumvent the volume-loss issue, several authors have used polygonal or polyhedral subparticles or cells generated by Voronoi tessellation [47][48][49][50]. These cells pave the whole volume of the particle so the volume is conserved during particle fracture and fragmentation.…”

Section: Introductionmentioning

confidence: 99%

Bonded-cell model for particle fracture

et al. 2015

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Particle degradation and fracture play an important role in natural granular flows and in many applications of granular materials. We analyze the fracture properties of two-dimensional disklike particles modeled as aggregates of rigid cells bonded along their sides by a cohesive Mohr-Coulomb law and simulated by the contact dynamics method. We show that the compressive strength scales with tensile strength between cells but depends also on the friction coefficient and a parameter describing cell shape distribution. The statistical scatter of compressive strength is well described by the Weibull distribution function with a shape parameter varying from 6 to 10 depending on cell shape distribution. We show that this distribution may be understood in terms of percolating critical intercellular contacts. We propose a random-walk model of critical contacts that leads to particle size dependence of the compressive strength in good agreement with our simulation data.

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“…[8] for cylinders, tetrahedra, and intersecting cylinders; and Ref. [37] for irregular polyhedra). Specifically, our particles are spheroplates resulting from a Minkowsky addition of a square plate and a sphere.…”

Section: Platy Particlesmentioning

confidence: 99%

Particle alignment and clustering in sheared granular materials composed of platy particles

Boton¹,

Estrada²,

Azéma³

et al. 2014

Eur. Phys. J. E

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Abstract. By means of molecular dynamics simulations, we investigate the texture and local ordering in sheared packings composed of cohesionless platy particles. The morphology of large packings of platy particles in quasistatic equilibrium is complex due to the combined effects of local nematic ordering of the particles and anisotropic orientations of contacts between particles. We find that particle alignment is strongly enhanced by the degree of platyness and leads to the formation of face-connected clusters of exponentially decaying size. Interestingly, due to dynamics in continuous shearing, this ordering phenomenon emerges even in systems composed of particles of very low platyness differing only slightly from spherical shape. The number of clusters is an increasing function of platyness. However, at high platyness the proportion of face-face interactions is too low to allow for their percolation throughout the system. PACS. PACS-key discribing text of that key -PACS-key discribing text of that key

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Breaking processes in three-dimensional bonded granular materials with general shapes

Cited by 110 publications

References 61 publications

Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media

Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media

Bonded-cell model for particle fracture

Particle alignment and clustering in sheared granular materials composed of platy particles

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