PMID: 22587089May 17, 2012Paper

Contact anisotropy and coordination number for a granular assembly: a comparison of distinct-element-method simulations and theory

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Luigi La Ragione, Vanessa Magnanimo

Abstract

We study an ideal granular aggregate consisting of elastic spherical particles, isotropic in stress and anisotropic in the contact network. Because of the contact anisotropy, a confining pressure applied at zero deviatoric stress, produces shear strain as well as volume strain. Our goal is to predict the coordination number k, the average number of contacts per particle, and the magnitude of the contact anisotropy ɛ, from knowledge of the elastic moduli of the aggregate. We do this through a theoretical model based upon the well known effective medium theory. However, rather than focusing on the moduli, we consider their ratios over the moduli of an equivalent isotropic state. We observe good agreement between numerical simulation and theory.

References

Aug 23, 2002·Physical Review Letters·C Goldenberg, I Goldhirsch
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hernán A MakseLawrence Schwartz
Mar 16, 2007·Physical Review Letters·T S MajmudarR P Behringer
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ivana Agnolin, Jean-Noël Roux
Nov 13, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre-Emmanuel Peyneau, Jean-Noël Roux
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yacine Khidas, Xiaoping Jia

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Citations

Jun 6, 2020·Physical Review Letters·David CantorEmilien Azéma
May 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Olukayode I ImoleStefan Luding
Oct 21, 2020·Physical Review. E·Manuel Cárdenas-BarrantesEmilien Azéma
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Luigi La Ragione, Luc Oger

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