3/98 "Granular Dynamics Simulations"
Guest editor: Jacek Tejchman, tejchmk@pg.gda.pl
Technical University of Gdansk, Poland
Contents:
-
Paul Cleary, Discrete Element Modelling of Industrial Granular Flow
Applications - abstract,
-
S.Luding, Clustering Instabilities, Arching and Anomalous Interaction
Probablities as Examples for Cooperative Phenomena in Dry Granular Media
- abstract,
-
Kazuyoshi Iwashita and Masanobu Oda, Shear Band Development in Modified
DEM: Importance of Coupe Stress - abstract,
-
Colin Thornton, DEM Simulations of Quasi-Static Shear Deformation of
Granular Media - abstract,
-
Jacek Tejchman, FE-Simulations of Rapid Silo Flow with a Polar Elasto-Plastic
Constitutive Model - abstract,
From the History of Science and Technology in Ancient Gdansk
Abstracts:
- Paul Cleary, Discrete Element Modelling of Industrial
Granular Flow Applications,
-
Discrete element methods for modelling granular flows have now developed
sufficiently for them to be applied to complex industrial and mining applications
with an expectation that they can predict these flows reasonably well.
Furthermore detailed quantitative predictions can be made using these models,
allowing them to be validated against carefully designed experiments and
then iteratively improved. The models allow existing equipment and processes
to be carefully analysed. The resulting enhanced understanding can then
be used to help improve them or to create new ones. DEM modelling of a
wide range of industrial applications are described in this paper, including
ball mill operation, dragline bucket filling, vibrational segregation by
size and density, flow in centrifugal mills, flows from slot hoppers, idler
induced segregation, cutter bias for commodity samplers and mixing in tumblers.
- S.Luding, Clustering Instabilities, Arching
and Anomalous Interaction Probablities as Examples for Cooperative Phenomena
in Dry Granular Media,
-
In a freely cooling granular material fluctuations in density and temperature
cause position dependent energy loss. Due to strong local dissipation,
pressure and energy drop rapidly and material moves from `hot' to `cold'
regions, leading to even stronger dissipation and thus causing the density
instability. The assumption of `molecular chaos' is valid only in the homogeneous
cooling regime. As soon as the density instability occurs, the impact parameter
is not longer uniformly distributed. The pair-correlation and the
structure functions show that the molecular chaos assumption --- together
with reasonable excluded volume modeling --- is important for short distances
and irrelevant on large length scales.
-
In this study, the probability distribution of the collision frequency
is examined for pipe flow and for freely cooling granular materials as
well. Uncorrelated events lead to a Poisson distribution for the collision
frequencies. In contrast, the fingerprint of the cooperative phenomena
discussed here is a power-law decay of the probability for many collisions
per unit time.
- Kazuyoshi Iwashita and Masanobu Oda, Shear Band
Development in Modified DEM: Importance of Coupe Stress,
-
Numerical simulation tests were carried out using the distinct element
method (DEM) with great interest in how large couple stress is actually
generated in a shear band. To do this, the conventional DEM was modified
slightly such that the effect of rolling resistance at contact points can
be taken into account (called MDEM). It is found that MDEM provides a powerful
tool in simulating not only the generation of large voids inside a shear
band but also the high gradient of particle rotation along the shear band
boundaries, in a quite similar manner to those of natural granular soils,
and that couple stress, although it is very small, is certainly developed
in a consistent manner with the particle rotation gradient developed in
a shear band.
- Colin Thornton, DEM Simulations of Quasi-Static
Shear Deformation of Granular Media
,
-
Results are presented of numerically simulated three dimensional quasi-static
shear deformation of polydisperse systems of spheres. Results of
axisymmetric compression test simulations are reported for both dense and
loose systems. The versatility of numerical simulation is demonstrated
by presenting results obtained from simulations of general radial deviatoric
loading, a constant deviatoric strain test and a multi-axial plane strain
test. In all cases, the simulated stress-strain dilation responses
are in axcellent qualitative agreement with the behaviour of granular materials
observed in physical experiments.
- Jacek Tejchman, FE-Simulations of Rapid Silo
Flow with a Polar Elasto-Plastic Constitutive Model,
-
The paper presents results on numerical modelling of rapid flow of granular
materials in a model silo with convergent smooth walls. The calculations
were performed with a finite element method based on a polar elasto-plastic
constitutive relation by Mühlhaus. It differs from the conventional
theory of plasticity by the presence of Cosserat rotations and couple stresses
using a mean grain diameter as a characteristic length. The characteristic
length causes that numerical results do not depend upon the mesh discretisation.
The model tests on rapid silo flow of glass beads performed by Renner in
a glass hopper with a large wall inclination from the bottom were numerically
simulated. The plane strain FE-calculations were performed by taking into
account inertial forces and linear viscous damping. A satisfactory agreement
between numerical and experimental results was obtained. Advantages and
limitations of a continuum approach for simulations of rapid silo flow
were outlined.
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