Mesoscale avalanche size underpins the rheology of granular yielding

Granular materials under loading exhibit intermittent avalanches of varying sizes prior to full yielding, a hallmark of natural failure phenomena such as landslides and earthquakes. While continuum models for postyield plastic flow are well established, a unified framework connecting preyield avalanche dynamics to bulk rheology remains lacking. Here, we introduce a birefringent double-shear experiment that enables sustained probing of avalanche statistics and quasistatic flow behavior near the yielding transition. We find that the avalanche regime exhibits rate-weakening behavior, while the plastic regime is rate-independent, resulting in dual rheology under identical local shear rates and indicating hysteresis and mechanical instability. Within a stress-activated framework, we identify the mean normalized stress drop, a measure for mesoscale avalanche size, as a key field variable that bridges the two regimes. Incorporating this variable, we formulate a unified constitutive model that captures the entire yielding transition. These findings establish mesoscale avalanche evolution as a central mechanism underlying granular yielding rheology.

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Publication Details

Journal
Proceedings of the National Academy of Sciences
Published
2025-09-29
DOI
https://doi.org/10.1073/pnas.2516426122
Citations
1
Primary Topic
Granular flow and fluidized beds
Type
article
Field-Weighted Citation Impact
1.33
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article

Mesoscale avalanche size underpins the rheology of granular yielding

Keng-Lin Lee, Ting-Yin Yeh
1 citations
Proceedings of the National Academy of Sciences
Granular flow and fluidized beds
1.33
article

Mesoscale avalanche size underpins the rheology of granular yielding

Keng-Lin Lee, Ting-Yin Yeh
article en
1 citations

Abstract

Granular materials under loading exhibit intermittent avalanches of varying sizes prior to full yielding, a hallmark of natural failure phenomena such as landslides and earthquakes. While continuum models for postyield plastic flow are well established, a unified framework connecting preyield avalanche dynamics to bulk rheology remains lacking. Here, we introduce a birefringent double-shear experiment that enables sustained probing of avalanche statistics and quasistatic flow behavior near the yielding transition. We find that the avalanche regime exhibits rate-weakening behavior, while the plastic regime is rate-independent, resulting in dual rheology under identical local shear rates and indicating hysteresis and mechanical instability. Within a stress-activated framework, we identify the mean normalized stress drop, a measure for mesoscale avalanche size, as a key field variable that bridges the two regimes. Incorporating this variable, we formulate a unified constitutive model that captures the entire yielding transition. These findings establish mesoscale avalanche evolution as a central mechanism underlying granular yielding rheology.

Proceedings of the National Academy of SciencesVol. 122(40)
National Chung Hsing University (TW), National Taipei University (TW)
Openalex Percentile: Top 18%
Granular flow and fluidized beds
1.33
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Mesoscale avalanche size underpins the rheology of granular yielding — Keng-Lin Lee, Ting-Yin Yeh · Proceedings of the National Academy of Sciences (2025) | TGRS Research Map | TGRS