Granular vortices: Identification, characterization and conditions for the localization of deformation

Antoinette Tordesillas; Sebastian Pucilowski; Qun Lin; John F Peters; Robert P Behringer

Journal article

Granular vortices: Identification, characterization and conditions for the localization of deformation

Antoinette Tordesillas, Sebastian Pucilowski, Qun Lin, John F Peters, Robert P Behringer

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS | PERGAMON-ELSEVIER SCIENCE LTD | Published : 2016

DOI: 10.1016/j.jmps.2016.02.032

Abstract

We relate the micromechanics of vortex evolution to that of force chain buckling and, on this basis, formulate the conditions for strain localization in a continuum model of dense granular media. Using the traditional bifurcation analysis of shear bands, we show that kinematic vortex fields are in fact solutions to the boundary value problem satisfying null boundary conditions. To establish an empirical basis for our study, we first develop a method to identify the location of the core and boundary of each vortex from a given displacement field in two dimensions. We then employ this method to characterize the residual deformation field (i.e., the deviation of particle motions from the contin..

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University of Melbourne Researchers

Antoinette Tordesillas Author Mathematics and Statistics

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Grants

Awarded by Australian Research Council

Awarded by US Army Research Office

Awarded by US Air Force Office of Scientific Research

Awarded by NASA

Awarded by US National Science Foundation

Awarded by Direct For Mathematical & Physical Scien; Division Of Materials Research

Funding Acknowledgements

This work was partially supported by the Australian Research Council (DP120104759), Gilbert Riggs PhD Scholarship (SP), US Army Research Office (W911NF-11-1-0175 and W911NF-1-11-0110), US Air Force Office of Scientific Research (FA2386-15-1-4059), NASA (NNX10AU01G), US National Science Foundation (NSF-DMR1206351).