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

P. Evesque
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Abstract

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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P. Evesque. 2005-06-14. A Micro-mechanical Modelling of the Pressure Dependence of the Void Index of a Granular Assembly:. https://arxiv.org/abs/cond-mat/0506344

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