Anisotropy in granular media: classical elasticity and directed-force chain network.

Journal Article

A general approach is presented for understanding the stress response function in anisotropic granular layers in two dimensions. The formalism accommodates both classical anisotropic elasticity theory and linear theories of anisotropic directed-force chain networks. Perhaps surprisingly, two-peak response functions can occur even for classical, anisotropic elastic materials, such as triangular networks of springs with different stiffnesses. In such cases, the peak widths grow linearly with the height of the layer, contrary to the diffusive spreading found in "stress-only" hyperbolic models. In principle, directed-force chain networks can exhibit the two-peak, diffusively spreading response function of hyperbolic models, but all models in a particular class studied here are found to be in the elliptic regime.

Full Text

Duke Authors

Cited Authors

  • Otto, M; Bouchaud, JP; Claudin, P; Socolar, JE

Published Date

  • March 25, 2003

Published In

Volume / Issue

  • 67 / 3 Pt 1

Start / End Page

  • 031302 -

PubMed ID

  • 12689059

Pubmed Central ID

  • 12689059

Electronic International Standard Serial Number (EISSN)

  • 1550-2376

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/physreve.67.031302

Language

  • eng