The high-pressure compaction of three dimensional granular packings is
simulated using a bonded particle model (BPM) to capture linear elastic
deformation. In the model, grains are represented by a collection of point
particles connected by bonds. A simple multibody interaction is introduced to
control Poisson's ratio and the arrangement of particles on the surface of a
grain is varied to model both high- and low-frictional grains. At low
pressures, the growth in packing fraction and coordination number follow the
expected behavior near jamming and exhibit friction dependence. As the pressure
increases, deviations from the low-pressure power-law scaling emerge after the
packing fraction grows by approximately 0.1 and results from simulations with
different friction coefficients converge. These results are compared to
predictions from traditional discrete element method simulations which,
depending on the definition of packing fraction and coordination number, may
only differ by a factor of two. As grains deform under compaction, the average
volumetric strain and asphericity, a measure of the change in the shape of
grains, are found to grow as power laws and depend heavily on the Poisson's
ratio of the constituent solid. Larger Poisson's ratios are associated with
less volumetric strain and more asphericity and the apparent power-law exponent
of the asphericity may vary. The elastic properties of the packed grains are
also calculated as a function of packing fraction. In particular, we find the
Poisson's ratio near jamming is 1/2 but decreases to 1/4 before rising again as
systems densify