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EPL 98 (2012) 4408
Particle shape dependence in 2D granular media
Baptiste Saint-Cyr 1, 2, Szarf Krzysztof 3, Charles Voivret 4, Emilien Azema 1, Vincent Richefeu 3, Jean-Yves Delenne 1, Gael Combe 3, Nouguier-Lehon Cécile 5, Villard Pascal 6, Sornay Philippe 2, Chaze Marie 7, Franck Radjai 1, 8
(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 nontrivial 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.
1:  Laboratoire de mécanique et génie civil (LMGC)
CNRS : UMR5508 – Université Montpellier II - Sciences et techniques
2:  Laboratoire des Combustibles Uranium (LCU)
CEA : DEN/DEC/SPUA/LCU
3:  Laboratoire sols, solides, structures - risques (3S-R)
CNRS : UMR5521 – Institut National Polytechnique de Grenoble (INPG) – Université Joseph Fourier - Grenoble I
4:  Département recherche et développements (R&D - SNCF)
SNCF
5:  Ecole Centrale de Lyon
UMR CNRS 5513 – LTDS
6:  Laboratoire Sols, Solides, Structures (3S)
Université Joseph Fourier - Grenoble I
7:  Laboratoire de Tribologie et Dynamique des Systèmes (LTDS-ENSMSE)
CNRS – Ecole Centrale de Lyon – Ecole Nationale d'Ingénieurs de Saint Etienne – École Nationale Supérieure des Mines - Saint-Étienne
8:  Laboratoire de micromécanique et intégrité des structures (MIST)
CNRS : UMR5508 – IRSN
Physique et Mécanique des Milieux Granulaires
Physics/Mechanics/Mechanics of materials

Engineering Sciences/Mechanics/Mechanics of materials
granular matter – particle shape – shear strength – friction mobilization – packing fraction
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