Journal article

Mesoscale Measures of Nonaffine Deformation in Dense Granular Assemblies

Antoinette Tordesillas, Maya Muthuswamy, Stuart DC Walsh

JOURNAL OF ENGINEERING MECHANICS | ASCE-AMER SOC CIVIL ENGINEERS | Published : 2008

Abstract

We probe the origins of nonaffine deformation in discrete element simulations of densely packed granular systems under biaxial compression, using a new local measure of nonaffine micropolar deformation. This measure represents the deviation of particle motion from that dictated by a measure of micropolar strain and curvature, devised on the scale of a particle and its first ring of neighbors. Highly correlated mesoscopic structures emerge and contribute significantly to nonaffine deformation, an aspect of material behavior that is largely neglected in existing constitutive models. Distinct regimes of deformation were observed: a globally affine regime in which particles move in uncorrelated ..

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Grants

Awarded by U.S. Army Research Office


Awarded by Australian Research Council


Funding Acknowledgements

The writers are grateful to Professor Robert Behringer for his useful comments. The support of the U.S. Army Research Office (Grant No. DAAD19-02-1-0216) and the Australian Research Council (Grant No. DP0558808) through a grant to A. T. is gratefully acknowledged, as is the University of Melbourne Advanced Research Computing section through a grant of computer time. The writers also gratefully acknowledge the Pratt Foundation Scholarship for postgraduate support to M. M.