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Stress field in granular systems : loop forces and potential formulation
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Ball, Robin and Blumenfeld, R. (2002) Stress field in granular systems : loop forces and potential formulation. Physical Review Letters, Vol.88 (No.11). Article 115505 . doi:10.1103/PhysRevLett.88.115505 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 | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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 | ||||
Official Date: | 18 March 2002 | ||||
Dates: |
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Volume: | Vol.88 | ||||
Number: | No.11 | ||||
Number of Pages: | 4 | ||||
Page Range: | Article 115505 | ||||
DOI: | 10.1103/PhysRevLett.88.115505 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Grant number: | GR/L59757 (EPSRC) |
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