Issue |
Europhys. Lett.
Volume 60, Number 6, December 2002
|
|
---|---|---|
Page(s) | 813 - 819 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2002-00309-6 | |
Published online | 01 December 2002 |
Stress response function of a two-dimensional ordered packing of frictional beads
1
Laboratoire d'Informatique de Paris 6, pôle IA (UMR 7606)
4 place Jussieu, case 169, 75252 Paris Cedex 05, France
2
Laboratoire des Milieux Désordonnés et Hétérogènes (UMR 7603)
4 place Jussieu, case 86, 75252 Paris Cedex 05, France
Received:
7
May
2002
Accepted:
3
October
2002
We study the stress profile of an ordered two-dimensional packing
of beads in response to the application of a vertical overload
localized at its top surface. Disorder is introduced through the
Coulombic friction between the grains which gives some
indeterminacy and allows the choice of one constrained random
number per grain in the calculation of the contact forces. The
so-called “multi-agent” technique we use lets us deal with
systems as large as grains. We show that the
average response profile has a double-peaked structure. At large
depth z, the position of these peaks grows with cz, while
their widths scales like
. c and D are analogous
to “propagation” and “diffusion” coefficients. Their values
depend on that of the friction coefficient μ. At small μ,
we get
and
, with
, which means that the peaks get closer and wider as the
disorder gets larger. This behavior is qualitatively what was
predicted in a model where a stochastic relation between the
stress components is assumed.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 45.70.Cc – Static sandpiles; granular compaction / 83.80.Fg – Granular solids
© EDP Sciences, 2002
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