Volume 98, Number 4, May 2012
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||30 May 2012|
Particle shape dependence in 2D granular media
University Montpellier 2, CNRS, LMGC UMR 5508 - Place Eugène Bataillon, F-34095 Montpellier cedex, France, EU
2 UJF-Grenoble 1, Grenoble-INP, CNRS UMR 5521, 3SR Lab. - B.P. 53, F-38041 Grenoble cedex 09, France, EU
3 University of Lyon, Ecole Centrale de Lyon, LTDS UMR CNRS 5513 - 36 avenue Guy de Colongue, F-69134 Ecully cedex, France, EU
4 CEA, DEN, SPUA, LCU - F-13108 Saint Paul Lez Durance, France, EU
5 SNCF Innovation and Research Immeuble Lumière - 40 Avenue des Terroirs de France, F-75611 Paris cedex 12, France, EU
6 IATE, UMR 1208 INRA-CIRAD-Montpellier Supagro-UM2 - 2 place Pierre Viala, F-34060 Montpellier cedex 01, France, EU
Accepted: 25 April 2012
Particle shape is a key to the space-filling and strength properties of granular matter. We consider a shape parameter η describing the degree of distortion from a perfectly spherical shape. Encompassing most specific shape characteristics such as elongation, angularity and non-convexity, η is a low-order but generic parameter that we used in a numerical benchmark test for a systematic investigation of shape dependence in sheared granular packings composed of particles of different shapes. We find that the shear strength is an increasing function of η with nearly the same trend for all shapes, the differences appearing thus to be of second order compared to η. We also observe a non-trivial behavior of packing fraction which, for all our simulated shapes, increases with η from the random close packing fraction for disks, reaches a peak considerably higher than that for disks, and subsequently declines as η is further increased. These findings suggest that a low-order description of particle shape accounts for the principal trends of packing fraction and shear strength. Hence, the effect of second-order shape parameters may be investigated by considering different shapes at the same level of η.
PACS: 45.70.-n – Granular systems / 81.05.Rm – Porous materials; granular materials / 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates)
© EPLA, 2012
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