Computer simulation of isostatic powder compaction by random packing of monosized particles

Lu, Gang; Shi, Xiaopeng

doi:10.1007/bf00451748

Cited by 19 publications

(13 citation statements)

References 12 publications

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“…how closely these spheres are packed. For random close packing of spheres of uniform size, the highest packing density that can be achieved is 0.6366 ± 0.005 [39,40].…”

Section: Random Close Packingmentioning

confidence: 94%

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Effects of cell size and cell wall thickness variations on the stiffness of closed-cell foams

Chen

Das

Battley

2015

International Journal of Solids and Structures

131

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Please cite this article as: Chen, Y., Das, R., Battley, M., Effects of cell size and cell wall thickness variations on the stiffness of closed-cell foams, International Journal of Solids and Structures (2014), doi: http://dx.Abstract This paper concerns with the micromechanical modelling of closed-cell polymeric foams (M130) using Laguerre tessellation models incorporated with realistic foam cell size and cell wall thickness distributions. The cell size and cell wall thickness distributions of the foam were measured from microscope images. The Young's modulus of cell wall material of the foam was characterized by nanoindentation tests. It is found that when the cell size and cell wall thickness are assumed to be uniform in the models, the Kelvin, Weaire-Phelan and Laguerre models overpredict the stiffness of the foam. However, the Young's modulus and shear modulus predicted by the Laguerre models incorporating measured foam cell size and cell wall thickness distributions agree well with the experimental data. This emphasizes the fact that the integration of realistic cell wall and cell size variations is vital for foam modelling. Subsequently the effects of cell size and cell wall thickness variations on the stiffness of closed-cell foams were investigated using Laguerre models. It is found that the Young's modulus and shear modulus decrease with increasing cell size and cell wall thickness variations. The degree of stiffness variation of closed-cell foams resulting from the cell size dispersion and cell wall thickness dispersion are comparable. There is little interaction between the cell size variation and cell wall thickness variation as far as their effects on foam moduli are concerned. Based on the simulation results, expressions incorporating cell size and cell wall thickness variations were formulated for predicting the stiffness of closed-cell foams. Lastly, a simple spring system model was proposed to explain the effects of cell size and cell wall thickness variations on the stiffness of cellular structures.

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“…how closely these spheres are packed. For random close packing of spheres of uniform size, the highest packing density that can be achieved is 0.6366 ± 0.005 [39,40].…”

Section: Random Close Packingmentioning

confidence: 94%

“…Indeed, random close packing of spheres is a useful approach for numerous material modelling scenarios, such as powder compaction [38,39] and polycrystalline structure simulation [18]. As discussed early, random close packing of spheres is also essential for the construction of Laguerre tessellations.…”

Section: Random Close Packingmentioning

confidence: 99%

Effects of cell size and cell wall thickness variations on the stiffness of closed-cell foams

Chen

Das

Battley

2015

International Journal of Solids and Structures

131

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“…The main dynamic methods described in the literature are the iterative growth algorithm [22,41] and the isotropic compression [2,25]. These dynamic methods can satisfactorily reproduce the real packing properties [21,44], but require high time-consuming computation.…”

Section: Introductionmentioning

confidence: 98%

Packing spherical discrete elements for large scale simulations

Jérier

Richefeu

Imbault

et al. 2010

Computer Methods in Applied Mechanics and Engineering

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“…5.6 near the base. For the packing of mono-sized spheres, it has been established that decreasing porosity results in an increase in mean coordination number [18,23]. Consequently, this implies that packing structure differs by locations with denser packing existing in the centre region.…”

Section: 21mentioning

confidence: 97%

Structural signature and contact force distributions in the simulated three-dimensional sphere packs subjected to uniaxial compression

Liu

Zhang

Liao

2010

Sci. China Phys. Mech. Astron.

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Packing of spherical particles in a three-dimensional cylindrical container is simulated by using Discrete Element Method. The packed bed of spheres is also subjected to vertical compression which results in a dense compact. Microstructures of the packing during compaction are examined in detail in terms of the contact number, deviator fabric, and radial distribution function. Furthermore, contact force distributions are measured at different locations in the pack, i.e. the centre, the side wall, and the base (or bottom wall) of the container. The simulations show that random close packing (RCP) tends to exist in the centre of the pack, while ordered packing structures exist near the container's walls. The uniaxial compression doesn't seem to alter the packing structure in the pack centre remarkably, but to reduce the structural anisotropy of the packing close to the container's base. The simulated results have also helped to establish the correlations between packing structures and contact force distributions. Further, it is shown that small contact force distributions are sensitive to local packing structures. The simulated results are shown to be consistent with the recent experimental and simulation findings.packing, contact force distribution, discrete element method, particles, boundary effect

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Computer simulation of isostatic powder compaction by random packing of monosized particles

Cited by 19 publications

References 12 publications

Effects of cell size and cell wall thickness variations on the stiffness of closed-cell foams

Effects of cell size and cell wall thickness variations on the stiffness of closed-cell foams

Packing spherical discrete elements for large scale simulations

Structural signature and contact force distributions in the simulated three-dimensional sphere packs subjected to uniaxial compression

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