Trajectories of loose sand samples in the Phase Space of Soil Mechanics

Details Trajectories of loose sand samples in the Phase Space of Soil Mechanics Trajectories of loose sand samples in the Phase Space of Soil Mechanics

2005-07-05

arxiv.org/abs/cond-mat/0507093v1

Poudres & Grains 11, 60-63, (2000), ISSN 1257-3957

Physics

Condensed Matter

Soft Condensed Matter

4 pages + 1 page, 1 Figure

Scientific paper

In general, the evolution of soil submitted to simple stress-strain paths is characterised using the 3d phase space (v,p',q) i.e. (specific volume, mean intergranular pressure, deviatoric stress q. When uniaxial compressions is performed at constant lateral pressure p' or at constant mean pressure p', one finds that all trajectories end up at a line of attracting point called the critical-state line via the surface of Roscoe or of Hvorslev depending if the initial volume is the loosest possible one (at a given p') or densest. Trajectories of weakly dense samples are not often reported in this phase space. We find here that they shall present some sigmoid shape as it can be found from soil mechanics argument. This seems to indicate that Roscoe's surface shall exhibit a singularity at the critical point.

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