Journal article

Uncovering temporal transitions and self-organization during slow aging of dense granular media in the absence of shear bands

David M Walker, Antoinette Tordesillas, Jie Ren, Joshua A Dijksman, Robert P Behringer

EPL | EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY | Published : 2014

Abstract

We present a method for discovering temporal transitions in the macroscopic response of two granular assemblies of photoelastic disks, subject to prolonged symmetric cyclic pure shear - under uniform deformation. A distance-matrix- based analysis is used in a reconstructed state space formed from the macroscopic stress ratio time series, with the technique of quadrant scans applied to extract transition times from the recurrence plots. Macroscopic measures of pressure and shear stress exhibit limit cycle behavior with respect to the applied cyclic strain. The contact network and the strong force filamentary network, however, show a gradual change across shear cycles. A quantitative character..

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Grants

Awarded by ARC


Awarded by US ARO


Awarded by NASA


Awarded by NSF


Funding Acknowledgements

We thank Dr QUN LIN for sharing her stability code. This work was supported by the ARC DP120104759, US ARO W911NF-11-1-0175 and W911NF-1-11-0110, NASA NNX10AU01G and NSF DMR-1206351.