L. Oger et al., YIELD AND DEFORMATION OF AN ASSEMBLY OF DISKS SUBJECTED TO A DEVIATORIC STRESS LOADING, Mechanics of materials, 27(4), 1998, pp. 189-210
The deformation of an assembly of particles is examined using a discre
te element method (DEM) numerical model. The particles are modeled as
random-sized, rough, inelastic, circular two-dimensional disks. The si
mulations keep track of the displacements, velocities and contact forc
es of each particle in order to examine the local rearrangements of th
e particles during the deformation and to determine the bulk stress st
ates. The behavior of cohesive materials can be examined by introducin
g tensile forces between particles. The tests are done by applying con
stant confining pressures on two parallel flexible boundaries and a co
nstant displacement rate on the two other flat frictionless walls. Dur
ing the loading, the axial stress on the moving walls reaches a peak v
alue and afterwards remains essentially constant for large strains. St
ress-strain curves are obtained for a large range of confining pressur
es. They show that the yield envelopes follow the linear Mohr-Coulomb
criterion. The global angle of friction is determined for a large rang
e of particle-particle friction angles and particle size distributions
. It was found that the global friction angle phi(cv) increased with i
nterparticle friction angle phi(1) for phi(i) < 6 degrees; for larger
values of phi(i), the global friction angle is essentially constant. A
s the spread in the particle size distribution increased, the magnitud
e of the internal angle of friction was found to increase for a given
interparticle friction angle. (C) 1998 Elsevier Science Ltd.