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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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Yield loci for an anisotropic granular assembly.

Luigi La Ragione¹, Luc Oger

¹School of Civil and Environmental Engineering, Cornell University, 14850 Ithaca, New York, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|December 11, 2012

Summary

Anisotropy in granular materials causes yield loci to deviate from Mohr-Coulomb predictions during triaxial compression. Particle sliding due to compaction pressure influences the yield function, confirmed by numerical simulations.

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Area of Science:

Geotechnical Engineering
Materials Science
Physics of Granular Media

Background:

Yield loci define the stress states at which granular materials begin to deform irreversibly.
The Mohr-Coulomb criterion is a widely used model for predicting the failure of granular materials.
Laboratory samples of granular materials often exhibit inherent anisotropy due to depositional processes.

Purpose of the Study:

To derive the yield loci of granular materials under triaxial compression at constant pressure.
To investigate the influence of inherent anisotropy on the predicted yield loci.
To compare theoretical predictions with numerical simulations.

Main Methods:

Development of a micromechanical model for particle deformation.
Theoretical derivation of yield loci considering anisotropic aggregates.
Numerical simulations to support theoretical findings.

Main Results:

Inherent anisotropy in granular aggregates causes deviations in yield loci from the standard Mohr-Coulomb predictions.
Increased compaction pressure in anisotropic aggregates leads to particle sliding and irreversibility.
This irreversibility significantly influences the yield function in subsequent triaxial tests.

Conclusions:

The study provides a theoretical framework for understanding yield loci in anisotropic granular materials.
Micromechanical modeling and numerical simulations confirm the impact of anisotropy on material behavior.
Results highlight the limitations of isotropic models like Mohr-Coulomb for anisotropic granular samples.