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Updated: Sep 26, 2025

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
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The Edwards volume ensemble in cyclically sheared granular experiments.

Aile Sun1, Yinqiao Wang1, Yangrui Chen1

  • 1School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China. jiezhang2012@sjtu.edu.cn.

Soft Matter
|April 22, 2022
PubMed
Summary
This summary is machine-generated.

The Edwards volume ensemble accurately describes cyclically sheared disk packings, even with friction. Free volume is directly proportional to compactivity, independent of friction.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Cyclically sheared granular materials exhibit complex behaviors like anisotropy and hysteresis.
  • Understanding the statistical mechanics of jammed matter is crucial for predicting material properties.

Purpose of the Study:

  • To investigate the applicability of the Edwards volume ensemble to cyclically sheared bidisperse disks.
  • To analyze the geometric and statistical properties of Voronoi cells in these systems.
  • To determine the relationship between free volume, compactivity, and inter-particle friction.

Main Methods:

  • Experimental investigation of bidisperse disks with varying friction coefficients (μ ≈ 0.3 and μ → ∞).
  • Application of cyclic shear with varying shear amplitudes (γm).
  • Comprehensive analysis of Voronoi cell geometry, anisotropy, and free volume spatial correlations.

Main Results:

  • The Edwards volume ensemble provides an excellent statistical description of disk packings, despite anisotropy and hysteresis.
  • Voronoi cell anisotropy is weak across tested shear amplitudes and independent of friction.
  • Free volume and orientation correlations are short-ranged and weakly anisotropic, independent of friction.

Conclusions:

  • The Edwards volume ensemble is a robust model for sheared granular systems.
  • Free volume is directly proportional to compactivity, offering a simplified physical picture.
  • Inter-particle friction has a limited impact on key geometric and statistical properties of the packings.