Characterizing the shear and bulk moduli of an idealized granular material

V. Magnanimo; L. La Ragione; J. T. Jenkins; P. Wang; H. A. Makse

doi:10.1209/0295-5075/81/34006

All issues

Volume 81 / No 3 (February 2008)

EPL, 81 3 (2008) 34006

Abstract

Issue		EPL Volume 81, Number 3, February 2008


Article Number		34006
Number of page(s)		6
Section		Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics
DOI		https://doi.org/10.1209/0295-5075/81/34006
Published online		03 January 2008

EPL, 81 (2008) 34006

Characterizing the shear and bulk moduli of an idealized granular material

V. Magnanimo¹, L. La Ragione¹, J. T. Jenkins², P. Wang³ and H. A. Makse³

¹ Dipartimento di Ingegneria Civile e Ambientale, Politecnico di Bari - 70125 Bari, Italy
² Department of Theoretical and Applied Mechanics, Cornell University - Ithaca, NY 14853, USA
³ Levich Institute and Physics Department, City College of New York - New York, NY 10031, USA

Received: 2 October 2007
Accepted: 30 November 2007

Abstract

Physical experiments on wave propagation on granular material control two macroscopic parameters that are assumed to characterize the response of a given assembly: the isotropic pressure p₀ and the solid volume fraction $\phi$ . Here, by means of numerical simulation, we investigate the effect of the coordination number $\overline{Z}$ (the average number of contacts per particle) and the fluctuation of the number of contacts per particle $Z^\prime$ . We adopt a numerical protocol to create several initial packings characterized by the same volume fraction and, for a given isotropic pressure, we are able to obtain different coordination numbers. That is, pressure and coordination number, for a given volume fraction, are independent. The result is that packings with fixed volume fraction and isotropic pressure exhibit a different elastic response. We attribute this behavior only to the coordination number as we find, surprisingly, that $\overline{Z}$ is linked to $Z^\prime$ .

PACS: 45.70.-n – Granular systems / 45.70.Cc – Static sandpiles; granular compaction / 46.40.-f – Vibrations and mechanical waves

© EPLA, 2008

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