Breaking arches with vibrations: the role of defects

TL;DR

This study investigates how the geometry and force distribution within granular arches influence their stability against vibrations, revealing that the maximum angle between particles is key to predicting arch failure.

Contribution

The paper provides experimental evidence linking arch stability to the maximum inter-particle angle and offers a force-based explanation for this relationship.

Findings

Higher maximum angles lead to easier arch breakage.

Force analysis explains the dependence of stability on geometry.

Insights into normal forces and friction coefficients in arches.

Abstract

We present experimental results about the stability of arches against external vibrations. Two dimensional strings of mutually stabilizing grains are geometrically analyzed and subsequently submitted to a periodic forcing at fixed frequency and increasing amplitude. The main factor that determines the granular arch resistance against vibrations is the maximum angle among those formed between any particle of the arch and its two neighbors: the higher the maximum angle is, the easier to break the arch. Based in an analysis of the forces, a simple explanation is given for this dependence. From this, interesting information can be extracted about the expected magnitudes of normal forces and friction coefficients of the particles conforming the arches.