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Stress field in granular systems : loop forces and potential formulation

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Ball, R. C. and Blumenfeld, R.. (2002) Stress field in granular systems : loop forces and potential formulation. Physical Review Letters, Vol.88 (No.11). Article 115505 . ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.88.115505

Abstract

The transmission of stress through a marginally stable granular pile in two dimensions is exactly formulated in terms of a vector field of loop forces, and thence in terms of a single scalar potential. This leads to a local constitutive equation coupling the stress tensor to fluctuations in the local geometry. Fora disordered pile of rough grains this means the stress tensor components are coupled in a frustrated manner. In piles of rough grains with long range staggered order, frustration is avoided and a simple linear theory follows. We show that piles of smooth grains can be mapped onto a pile of unfrustrated rough grains, indicating that the problems of rough and smooth grains may be fundamentally distinct.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Physics
Library of Congress Subject Headings (LCSH): Granular materials, Strains and stresses
Journal or Publication Title: Physical Review Letters
Publisher: American Physical Society
ISSN: 0031-9007
Date: 18 March 2002
Volume: Vol.88
Number: No.11
Number of Pages: 4
Page Range: Article 115505
Identification Number: 10.1103/PhysRevLett.88.115505
Status: Peer Reviewed
Publication Status: Published
Funder: Engineering and Physical Sciences Research Council (EPSRC)
Grant number: GR/L59757 (EPSRC)
URI: http://wrap.warwick.ac.uk/id/eprint/11122

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