Dilatancy transition in a granular model

TL;DR

This paper presents a granular matter model demonstrating a second order phase transition related to dilatancy onset, analyzed through a stress ensemble and Monte Carlo simulations.

Contribution

It introduces a new granular model and identifies a dilatancy transition using stress ensemble analysis and Monte Carlo methods.

Findings

Model exhibits a second order phase transition.

Dilatancy onset is characterized as a phase transition.

Monte Carlo simulations confirm the transition.

Abstract

We introduce a model of granular matter and use a stress ensemble to analyze shearing. Monte Carlo simulation shows the model to exhibit a second order phase transition, associated with the onset of dilatancy.