In this paper, the compactions
of the elasto-plastic and the visco-plastic granular assemblies are simulated
using the finite element method. Governing equations for motion and deformation
for particles, including coupling of rigid body motion and deformation for
deformable bodies, are investigated. An implicit discrete element method for
block systems is developed to make visco-plastic analysis for the assemblies.
Among particles, three different contact types, cohering, rubbing and sliding,
are taken into account. To verify accuracy and efficiency of the numerical
method, some numerical example is simulated and the results are in a satisfactory
agreement with the solutions in literatures. The effects of frictional condition,
the initial solid volume ratio, the number of particles in the assembly, and
different types of compact- tion on the compaction of the elasto-plastic
and the visco-plastic aggregates are investigated. It is demonstrated that the
effect of frictional condition, the initial solid volume ratio, the number of
particles in the assembly, and different types of compaction on the global
behavior of the elasto-plastic the visco-plastic granular assemblies under compacting
are considerable. The numerical model is extended to simulate the compaction of
aggregates consisting of mixed particles of different viscous incompressible
materials. It is indicated that, with minor modification, the method could be
used in a variety of problems that can be represented using granular media,
such as asphalt, polymers, aluminum, snow, food product, etc.
Cite this paper
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