A Micro-mechanical Modelling of the Pressure Dependence of the Void Index of a Granular Assembly:

Details A Micro-mechanical Modelling of the Pressure Dependence of the Void Index of a Granular Assembly: A Micro-mechanical Modelling of the Pressure Dependence of the Void Index of a Granular Assembly:

2005-06-14

arxiv.org/abs/cond-mat/0506344v1

Poudres & Grains 10, 6-16, (1999)

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 1 figure

Scientific paper

This paper models the increase of density of a virgin loose granular sample submitted to a progressive axisymmetric compression (either isotropic or anisotropic) as an irreversible process which destroys the larger voids; a statistical mechanics approach similar to the one proposed by Boutreux & de Gennes is performed which leads to the equation of the density of normally consolidated states as a function of pressure; this equation is in agreement with experimental data and the typical variation of e (void index) or v (specific volume) vs. ln(p) .

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