ANZIAM J. 46(E) ppC260--C275, 2005.

Role of particle rotations and rolling resistance in a semi-infinite particulate solid indented by a rigid flat punch

Antoinette Tordesillas

John Peters

Maya Muthuswamy
(Received 11 October 2004, revised 10 March 2005)

Abstract

Particle rotations, and in particular, rolling resistance are known to have a dominant influence on the macroscopic behaviour of particulate materials. We examine the influence of these factors in the constitutive response of a semi-infinite material to indentation by a rigid flat punch on the material boundary. Extensive particle rotations are found to occur near the edges of the punch where stress concentrations exist, and from where plastic strains which localise into so-called shear bands emanate. The effects of rolling resistance are found to have a significant influence on the load-deflection characteristics of the punch.

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Authors

Antoinette Tordesillas
Department of Mathematics and Statistics, University of Melbourne 3010, Australia. mailto:atordesi@ms.unimelb.edu.au
John Peters
U. S. Army Corps of Engineers, Engineer Research and Development Center, Vicksburg, U. S. A.
Maya Muthuswamy
Department of Mathematics and Statistics, University of Melbourne 3010, Australia. mailto:mayadm@gmail.com

Published April 27, 2005. ISSN 1446-8735

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Copyright Austral. Mathematical Soc.; prepared April 27, 2005, from Tord.tex with anziamje.sty (v2.3c)