▪ Abstract The recent avalanche of research activity in the field of granular matter has yielded
much progress. The use of state-of-the-art (and other) computational and experimental …

It is shown that a gas composed of inelastically colliding particles is unstable to the formation
of high density clusters. A possible physical mechanism underlying this instability is …

The modeling of the elastic properties of disordered or nanoscale solids requires the
foundations of the theory of elasticity to be revisited, as one explores scales at which this theory …

For years, engineers have used elastic and plastic models to describe the properties of granular
solids, such as sand piles and grains in silos 1 , 2 , 3 . However, there are theoretical 4 , …

A set of differential equations for the eigenvalues and eigenvectors of the stability matrix of a
dynamical system, as well as for the Lyapunov exponents and the corresponding …

The Chapman–Enskog expansion is generalized in order to derive constitutive relations for
flows of inelastically colliding spheres in three dimensions – to Burnett order. To this end, the …

When collections of macroscopic grains are forced to flow, they may be in a regime in which
they interact via near-instantaneous collisions: this regime is known as ‘‘rapid granular flows’…

The possibility of eliminating chaos in a dynamical system or of decreasing the leading
Liapunov exponent by applying a weak periodic external forcing to the system is demonstrated …

It has been claimed that quasistatic granular materials, as well as nanoscale materials,
exhibit departures from elasticity even at small loadings. It is demonstrated, using 2D and 3D …

Results of a numerical study of the dynamics of a collection of disks colliding inelastically in
a periodic two-dimensional enclosure are presented. The properties of this system, which is …