Discrete element simulations of stress distributions in silos: crossover from two to three dimensions

TL;DR

This study uses large-scale discrete element simulations to analyze how vertical stress distributions in granular packings transition from two to three dimensions, revealing limitations of Janssen theory and the presence of hydrostatic regions.

Contribution

It provides new insights into stress profiles in 2D, quasi-2D, and 3D granular packings, highlighting the inadequacy of Janssen theory at the top regions.

Findings

Janssen theory does not fully describe stress distributions at the top of the piles.

A hydrostatic-like region of vertical stress exists in all cases.

Interior forces are far from incipient failure, while wall forces are close to it.

Abstract

The transition from two-dimensional (2D) to three-dimensional (3D) granular packings is studied using large-scale discrete element computer simulations. We focus on vertical stress profiles and examine how they change with dimensionality from 2D to 3D. We compare results for packings in 2D, quasi-2D packings between flat plates, and 3D packings. Analysis of these packings suggests that the Janssen theory does not fully describe these packings, especially at the top of the piles, where a hydrostatic-like region of vertical stress is visible in all cases. We find that the interior of the packing is far from incipient failure, while in general, the forces at the walls are close to incipient failure.