Journal article

Revisiting localized deformation in sand with complex systems

Antoinette Tordesillas, David M Walker, Edward Ando, Gioacchino Viggiani

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | ROYAL SOC | Published : 2013

Abstract

Complex systems techniques are used to analyse X-ray micro-CT measurements of grain kinematics in Hostun sand under triaxial compression. Network nodes with the least mean shortest path length to all other nodes, or highest relative closeness centrality, reside in the region where the persistent shear band ultimately develops. This trend, whereby a group of grains distinguishes themselves from the rest in the sample, remarkably manifests from the onset of loading. The shear band's boundaries and thickness, evident from the network communities' borders and essentially constant mean size, provide corroborating evidence of early detection of strain localization. Our findings raise the possibili..

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Grants

Awarded by Australian Research Council


Awarded by US Army Research Office


Awarded by French research agency ANR (MicroModEx)


Funding Acknowledgements

A.T. thanks Dr John F. Peters for many insightful discussions on strain localization and dedicates this paper to him. We thank the editor and all our reviewers for constructive comments. A. T. and D. M. W. acknowledge the support of the Australian Research Council (Discovery grant nos DP0986876 and DP120104759), the US Army Research Office (Single Investigator grant no. W911NF1110175) and the Melbourne Energy Institute. G. V. and E. A. acknowledge Steve Hall, Jacques Desrues and Pierre Besuelle to whom the experimental data on Hostun sand equally belongs. The X-ray scanner in Laboratoire 3SR was principally funded by a project of the French research agency ANR (MicroModEx, contract no. ANR-05-BLAN-0192).