Two variational closure models are proposed in order to describe stres
s distribution and arch formation in sandpiles located on a rigid base
. The maximum strength and the maximum entropy closures are shown to y
ield the normal stress minimum below the pile apex. Stress distributio
ns in sandpiles are determined numerically. The force fluctuations in
a model regular granular assembly are studied by Monte Carlo simulatio
n method. A dependence of the level of the fluctuations vs. the macros
copic stress state is determined. (C) 1998 Elsevier Science B.V. All r
ights reserved.