In 1989, Sir Sam Edwards made the visionary proposition to treat jammed granular materials
using a volume ensemble of equiprobable jammed states in analogy to thermal equilibrium …

An extensive update to a classic text Stochastic geometry and spatial statistics play a
fundamental role in many modern branches of physics, materials sciences, engineering …

Finding the optimal random packing of non-spherical particles is an open problem with great
significance in a broad range of scientific and engineering fields. So far, this search has …

In this paper, the random packing of spherocylinders of different aspect ratios is simulated
with an improved geometric based relaxation algorithm. It is shown that the packing density …

Random packings of objects of a particular shape are ubiquitous in science and
engineering. However, such jammed matter states have eluded any systematic theoretical …

A spherocylinder, a convex 3D object consisting of a cylinder with two hemispherical ends,
can possess a wide range of aspect ratios and is one of the most studied non-spherical …

The shape and size of particles are the main factors which influence the packing density of
binary mixtures. However, investigations of the single effect of size and shape on the binary …

The packings of cubes and cuboids (ie,“elongated” or “compressed” cubes) are ubiquitous
in nature. The high symmetry and space-tiling nature of such particles make them easily …

The superellipsoid model is a rich geometric model and is convenient to study the particle
shape effects on random packings. The particle shape significantly influences the …

Modelling of granular materials, soils and rocks has been a challenging topic of
investigation for decades. Classical continuum mechanics has been used to idealize soils …