Physics
Scientific paper
Oct 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011epsc.conf.1641h&link_type=abstract
EPSC-DPS Joint Meeting 2011, held 2-7 October 2011 in Nantes, France. http://meetings.copernicus.org/epsc-dps2011, p.1641
Physics
Scientific paper
A common concept from the continuum theory of granular materials is that of the angle of repose: the maximum angle a pile of material will achieve when poured slowly onto a flat surface. It is easily proved to be equal to the angle of internal friction φ defined in the common Mohr-Coulomb (MC) model. Some assume that flow is not possible at any lessor angle; so they conclude that a material found to flow to small slope angles cannot be modeled with the continuum theory without special assumptions relating to lubrication or fluidization. Here a detailed analysis of that concept is presented using a combination of theory and a numerical simulation of the granular cliff collapse problem as a detailed example. It is found that flow can occur at many angles both less than (in the static case) and greater than (in the dynamic case) the angle of repose. Thus, in the cliff collapse problem, for a material with an angle of friction of 35°, flow does continue to final slope angles as small as 10°.
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