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Related Experiment Video

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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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Force-chain buckling in granular media: a structural mechanics perspective.

Giles W Hunt¹, Antoinette Tordesillas, Steven C Green

¹Centre for Nonlinear Mechanics, University of Bath, Bath BA2 7AY, UK. g.w.hunt@bath.ac.uk

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|December 2, 2009

Summary

Structural buckling in elastic foundations and granular materials share similarities. Both systems initially exhibit periodic buckling, evolving towards localized deformation, suggesting a potential pathway to shear band formation in granular media.

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Area of Science:

Solid Mechanics
Materials Science
Geophysics

Background:

Discrete structural elements on elastic foundations exhibit buckling behavior.
Granular materials under confinement develop force chains that can buckle.
Understanding buckling in both systems is crucial for predicting material failure.

Purpose of the Study:

To draw parallels between the buckling response of a discrete strut on an elastic foundation and force-chain buckling in granular media.
To investigate the evolution of buckling shapes and wavelengths in both systems.
To hypothesize the potential transition of granular force-chain buckling into shear bands.

Main Methods:

Comparative analysis of classical structural mechanics models for elastic foundations.
Theoretical modeling and simulation of force-chain buckling in constrained granular materials.
Examination of buckling wavelength dependence on material properties and geometric constraints.

Main Results:

Both systems demonstrate initial periodic buckling patterns.
Buckling wavelengths are influenced by resistance to lateral displacement and curvature.
Under increasing compression, the structural model transitions to localized buckling over a finite number of elements.

Conclusions:

A strong analogy exists between the buckling behavior of elastic struts and granular force chains.
The evolutionary pathway from periodic to localized buckling is a shared characteristic.
It is conjectured that granular force-chain buckling may evolve into shear bands, similar to structural localization.