Volume 101, Number 4, February 2013
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||04 March 2013|
Mechanical response of an inclined frictional granular layer approaching unjamming
1 Departamento de Física e Matemática and National Institute of Science and Technology for Complex Systems, Centro Federal de Educação Tecnológica de Minas Gerais, CEFET - MG - Av. Amazonas 7675, 30510-000, Belo Horizonte-MG, Brazil
2 Laboratoire de Physique et Mécanique des Milieux Hétérogènes, (PMMH UMR 7636 CNRS - ESPCI - Univ. P. et M. Curie - Univ. Paris Diderot) - 10 rue Vauquelin, 75231 Paris Cedex 05, France, EU
3 UJF-Grenoble 1, Grenoble-INP, CNRS UMR 5521, 3SR Lab. - B.P. 53, 38041 Grenoble Cedex 09, France, EU
Received: 2 November 2012
Accepted: 4 February 2013
We present an orthotropic elastic analysis of frictional granular layers under gravity by studying their stress response to a localized overload at the layer surface for several substrate tilt angles. The distance to the unjamming transition is controlled by the tilt angle α with respect to the critical angle αc. We find that the shear modulus of the system decreases with α, but reaches a finite value as α → αc. We also analyze the vibration modes of the system and show that the soft modes play an increasing, though not crucial, role approaching the transition.
PACS: 45.70.-n – Granular systems / 46.25.-y – Static elasticity / 64.60.av – Cracks, sandpiles, avalanches, and earthquakes
© EPLA, 2013
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