Stress network dynamics influence on large particle segregation

Alexander J. Navarrete; Leonardo Gordillo; Tomás Trewhela

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arXiv · 2604.05127

Stress network dynamics influence on large particle segregation

Alexander J. Navarrete·Leonardo Gordillo·Tomás Trewhela

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Abstract

A plethora of natural and industrial shear-driven granular flows exhibit particle-size segregation. Its occurrence is commonly attributed to two primary mechanisms: kinetic sieving and squeeze expulsion. While kinetic sieving is relatively well understood, squeeze expulsion lacks a clear mechanical explanation and direct experimental evidence due to difficulties in measuring stresses in granular media. Here, we investigate force networks around a large intruder in a bidimensional granular shear cell. We use transparent, birefringent disks to visualize stress chains via photoelasticity. Experiments were conducted with two different granular media to study force chains over size ratios between the intruder and surrounding particles of 1.25 to 4.0. Particle Tracking Velocimetry and G-square analysis are used to quantify particle trajectories and identify active grains. These methods enable us to measure force-chain lengths and structures around the intruder through the gap factor. Our results confirm that squeeze-expulsion strongly depends on stress transmission. Larger size ratios lead to longer force chains and greater particle participation in the global stress network. In parallel, stress fluctuations predominate in driving or restraining intruder motion by forming anisotropic force chains. These findings advance the understanding of granular segregation by clarifying the link between force-network dynamics and segregation mechanics.

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Alexander J. Navarrete, Leonardo Gordillo, Tomás Trewhela. 2026-04-06. Stress network dynamics influence on large particle segregation. https://arxiv.org/abs/2604.05127

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