The arrangements of particles and forces in granular materials have a complex organization
on multiple spatial scales that range from local structures to mesoscale and system-wide …

We utilize the tools of persistent homology to analyze features of force networks in dense
granular matter, modeled as a collection of circular, inelastic frictional particles. The …

As a granular material is compressed, the particles and forces within the system arrange to
form complex and heterogeneous collective structures. Force chains are a prime example of …

We present mathematical models based on persistent homology for analyzing force
distributions in particulate systems. We define three distinct chain complexes of these …

This doctoral thesis presents an experimental investigation into the mechanics of granular
media. The novelty that this work brings is that the specimens of sand tested in this work are …

Characterizing complex patterns arising from horizontal oil-water two-phase flows is a
contemporary and challenging problem of paramount importance. We design a new …

This paper investigates the transition between the solid and liquid phases of sheared
granular materials from the perspective of the contact network. Tools from persistent …

The impact of an intruder on granular matter leads to the formation of mesoscopic force
networks, which were seen particularly clearly in the recent experiments carried out with …

We use the first Betti number of a complex to analyze the morphological structure of granular
samples in mechanical equilibrium. We investigate two-dimensional granular packings after …

We consider dense granular systems in three spatial dimensions exposed to slow
compression and decompression, below, during, above and well above jamming. The …