Department
of Civil Engineering and Engineering Mechanics
University of Arizona
Tucson, AZ - 85721
ABSTRACT
In this paper, the deformation and failure of granular media is studied using
lattice based techniques. In a two-dimensional simulation of the lattice type
model, nodes are introduced at particle contacts and are linked by bars to
form a lattice which is then anayzed as a truss. The areas of bars of the
lattice within a particle are obtained by equating the net displacements produced
by the bars at the nodes of the lattice to the displacements of the contacts
of the particle (idealized as an elastic disk). The model includes bonding,
debonding, sliding and rotation of particles. Numerical test is conducted
on a two dimensional assembly of 104 particles, arranged as a dense packing
and representing quartz grains. The packing is subjected to a vertical load
followed by simple shear deformations. The deformation and failure of the
material are explained using plots of contact forces. KEYWORDS: granular,
materials, lattice model, simple shear, deformation, failure, numerical model.