Dynamic Heterogeneity and Facilitation in Sheared Granular Materials: Insights from 3D Triaxial Testing

Fuente: arXiv
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Main Authors: Lee, Kwangmin, Kuwik, Brett S., Hurley, Ryan C.
Format: Preprint
Published: 2025
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author Lee, Kwangmin
Kuwik, Brett S.
Hurley, Ryan C.
author_facet Lee, Kwangmin
Kuwik, Brett S.
Hurley, Ryan C.
contents Strain localization in granular materials arises from complex microscale dynamics, including intermittent particle rearrangements and spatiotemporally correlated deformation. While dynamic heterogeneity (DH) and dynamic facilitation (DF) have been widely studied in two-dimensional amorphous materials, their prevalence in three-dimensional (3D) granular systems remains unclear. Here, we performed a 3D triaxial compression test with in-situ X-ray computed tomography to track particle-scale kinematics across small and large strain increments. We analyzed deviatoric strain, volumetric strain, and non-affine motion fields, computed four-point spatial dynamic correlation functions to probe DH, quantified DF through a facilitation ratio, and assessed temporal persistence of local dynamics using four-point temporal dynamic correlations. Across large strain increments, DH and DF emerge strongly in the transition regime between the initially elastic response and the critical state regime, but weaken or become statistically insignificant within the shear band at the critical state, indicating a qualitative change in microscale dynamics upon localization. In contrast, under small increments, both measures are suppressed across all regimes. These results demonstrate that correlated dynamics depend strongly on both strain increment and deformation regime. This work provides the first comprehensive investigation of DH and DF in 3D granular materials and highlights their strain-increment and regime-dependent behaviors, establishing a connection to glassy dynamics in amorphous solids.
format Preprint
id arxiv_https___arxiv_org_abs_2509_21156
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamic Heterogeneity and Facilitation in Sheared Granular Materials: Insights from 3D Triaxial Testing
Lee, Kwangmin
Kuwik, Brett S.
Hurley, Ryan C.
Soft Condensed Matter
Geophysics
Strain localization in granular materials arises from complex microscale dynamics, including intermittent particle rearrangements and spatiotemporally correlated deformation. While dynamic heterogeneity (DH) and dynamic facilitation (DF) have been widely studied in two-dimensional amorphous materials, their prevalence in three-dimensional (3D) granular systems remains unclear. Here, we performed a 3D triaxial compression test with in-situ X-ray computed tomography to track particle-scale kinematics across small and large strain increments. We analyzed deviatoric strain, volumetric strain, and non-affine motion fields, computed four-point spatial dynamic correlation functions to probe DH, quantified DF through a facilitation ratio, and assessed temporal persistence of local dynamics using four-point temporal dynamic correlations. Across large strain increments, DH and DF emerge strongly in the transition regime between the initially elastic response and the critical state regime, but weaken or become statistically insignificant within the shear band at the critical state, indicating a qualitative change in microscale dynamics upon localization. In contrast, under small increments, both measures are suppressed across all regimes. These results demonstrate that correlated dynamics depend strongly on both strain increment and deformation regime. This work provides the first comprehensive investigation of DH and DF in 3D granular materials and highlights their strain-increment and regime-dependent behaviors, establishing a connection to glassy dynamics in amorphous solids.
title Dynamic Heterogeneity and Facilitation in Sheared Granular Materials: Insights from 3D Triaxial Testing
topic Soft Condensed Matter
Geophysics
url https://arxiv.org/abs/2509.21156