Stress field in granular systems : loop forces and potential formulation
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 0031-9007Full text not available from this repository.
Official URL: http://dx.doi.org/10.1103/PhysRevLett.88.115505
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|
|Date:||18 March 2002|
|Number of Pages:||4|
|Page Range:||Article 115505|
|Funder:||Engineering and Physical Sciences Research Council (EPSRC)|
|Grant number:||GR/L59757 (EPSRC)|
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