1,497 research outputs found
Random packing of regular polygons and star polygons on a flat two-dimensional surface
Random packing of unoriented regular polygons and star polygons on a
two-dimensional flat, continuous surface is studied numerically using random
sequential adsorption algorithm. Obtained results are analyzed to determine
saturated random packing ratio as well as its density autocorrelation function.
Additionally, the kinetics of packing growth and available surface function are
measured. In general, stars give lower packing ratios than polygons, but, when
the number of vertexes is large enough, both shapes approach disks and,
therefore, properties of their packing reproduce already known results for
disks.Comment: 5 pages, 8 figure
Flow rate of polygonal grains through a bottleneck: Interplay between shape and size
We report two-dimensional simulations of circular and polygonal grains
passing through an aperture at the bottom of a silo. The mass flow rate for
regular polygons is lower than for disks as observed by other authors. We show
that both the exit velocity of the grains and the packing fraction are lower
for polygons, which leads to the reduced flow rate. We point out the importance
of the criteria used to define when two objects of different shape are
considered to be of the same size. Depending on this criteria, the mass flow
rate may vary significantly for some polygons. Moreover, the particle flow rate
is non-trivially related to a combination of mass flow rate, particle shape and
particle size. For some polygons, the particle flow rate may be lower or higher
than that of the corresponding disks depending on the size comparison criteria.Comment: 9 pages, 8 figure
Identification of rolling resistance as a shape parameter in sheared granular media
Using contact dynamics simulations, we compare the effect of rolling
resistance at the contacts in granular systems composed of disks with the
effect of angularity in granular systems composed of regular polygonal
particles. In simple shear conditions, we consider four aspects of the
mechanical behavior of these systems in the steady state: shear strength, solid
fraction, force and fabric anisotropies, and probability distribution of
contact forces. Our main finding is that, based on the energy dissipation
associated with relative rotation between two particles in contact, the effect
of rolling resistance can explicitly be identified with that of the number of
sides in a regular polygonal particle. This finding supports the use of rolling
resistance as a shape parameter accounting for particle angularity and shows
unambiguously that one of the main influencing factors behind the mechanical
behavior of granular systems composed of noncircular particles is the partial
hindrance of rotations as a result of angular particle shape.Comment: Soumis a Physical Review E; Statistical, Nonlinear, and Soft Matter
Physics http://link.aps.org/doi/10.1103/PhysRevE.84.01130
On the Multiple Packing Densities of Triangles
Given a convex disk and a positive integer , let and
denote the -fold translative packing density and the
-fold lattice packing density of , respectively. Let be a triangle.
In a very recent paper, K. Sriamorn proved that
. In this paper, I will show that
.Comment: arXiv admin note: text overlap with arXiv:1412.539
Force transmission in a packing of pentagonal particles
We perform a detailed analysis of the contact force network in a dense
confined packing of pentagonal particles simulated by means of the contact
dynamics method. The effect of particle shape is evidenced by comparing the
data from pentagon packing and from a packing with identical characteristics
except for the circular shape of the particles. A counterintuitive finding of
this work is that, under steady shearing, the pentagon packing develops a lower
structural anisotropy than the disk packing. We show that this weakness is
compensated by a higher force anisotropy, leading to enhanced shear strength of
the pentagon packing. We revisit "strong" and "weak" force networks in the
pentagon packing, but our simulation data provide also evidence for a large
class of "very weak" forces carried mainly by vertex-to-edge contacts. The
strong force chains are mostly composed of edge-to-edge contacts with a marked
zig-zag aspect and a decreasing exponential probability distribution as in a
disk packing
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