Response of a hexagonal granular packing under a localized overload: effects of pressure

TL;DR

This study investigates how a 2D hexagonal granular packing responds to a localized force, revealing a double-peaked force distribution unaffected by boundary conditions, and examines how confining pressure influences this response.

Contribution

It introduces a statistical approach to analyze force response in granular packings, highlighting the persistent double-peaked response pattern and pressure effects.

Findings

Response is double-peaked along lattice directions

Peaks are independent of boundary conditions

Confining pressure influences the response pattern

Abstract

We study the response of a two-dimensional hexagonal packing of rigid, frictionless spherical grains due to a vertically downward point force on a single grain at the top layer. We use a statistical approach, where each configuration of the contact forces is equally likely. We find that the response is double-peaked, independantly of the details of boundary conditions. The two peaks lie precisely on the downward lattice directions emanating from the point of application of the force. We examine the influence of the confining pressure applied to the packing.