The jamming surface of granular matter Determined from soil mechanics results

P. Evesque: Lab MSSM, UMR 8579 CNRS, Ecole Centrale Paris, 92295 Châtenay-Malabry, France, evesque@mssmat.ecp.fr

Abstract: Classical soil mechanics results are used to propose the equation of the jamming transition surface in the (s', 1/r=v) space, where r is the density, v the specific volume and s' the stress really supported by the grain structure. Taking axi-symmetric conditions, labelling q= s'₁₁- s'₂₂ and p'=(s'₁₁+ s'₂₂+ s'₃₃)/3, and considering normal range of pressure (10 kPa-10MPa) the equation of the surface of jamming transition is v=v_o-l ln(p'/p'_o)+ l_d ln(1+q²/(M'p')²); M' is related to the friction angle j, l and l_d are two constants which depend on soil characteristics.

poudres & grains 11 (4), 58-59 ( décembre 2 000)