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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

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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'. 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'.


PACS

45.70.-n Granular systems

46.40.-f Vibrations and mechanical waves

45.70.Cc Static sandpiles; granular compaction

Subjects

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 3 (February 2008)

Received 2 October 2007, accepted for publication 30 November 2007

Published 3 January 2008



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