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Related Experiment Video

Updated: May 25, 2026

$Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction$

Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction

Published on: May 20, 2018

Local anisotropy in globally isotropic granular packings.

K Karimi¹, C E Maloney

¹Department of Civil and Environmental Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania, USA.

Physical Review Letters

|January 17, 2012

Summary

Frictionless granular materials exhibit distinct behaviors above jamming. Anisotropy in stress and shear modulus reveal different scaling laws, suggesting separate physics govern force chains and elastic response near the jamming point.

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Published on: September 29, 2019

Area of Science:

Physics
Materials Science
Computational Science

Background:

Granular materials exhibit complex behavior near the jamming transition.
Understanding the relationship between stress, strain, and structure is crucial.

Purpose of the Study:

Investigate the scaling of stress anisotropy and shear modulus in 2D frictionless granular packings.
Determine the characteristic length scales and their behavior near the jamming point.

Main Methods:

Performed two-dimensional computer simulations of frictionless granular packings.
Analyzed stress anisotropy (ε(s)) and shear modulus (ε(m)) as functions of coarse-graining scale (R).
Rescaled parameters to identify characteristic length scales (ξ) and anisotropy magnitudes (A).

Main Results:

Stress anisotropy (ε(s)) collapses onto a master curve, with both A and ξ diverging as the jamming point (φ(c)) is approached.
Shear modulus (ε(m)) exhibits a power-law dependence on R (ε(m)~R(-0.62)) without a characteristic length scale.
Different scaling behaviors were observed for stress anisotropy and shear modulus.

Conclusions:

The study suggests distinct physical mechanisms govern force chains and anomalous elastic response near jamming.
Characteristic length scales associated with stress anisotropy diverge at the jamming point.
The power-law behavior of shear modulus indicates scale-invariant properties over a wide range of scales.