Stress field in granular systems: loop forces and potential formulation.

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. For a 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.

• Publication year

  2000

• Venue

  Physical Review Letters

• Publication date

  2000-08-08

• Fields of study

  Mathematics, Physics, Medicine

• Identifiers
  DOI 10.1103/PHYSREVLETT.88.115505arXiv cond-mat/0008127PMID 11909410
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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