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

Publication ,  Journal Article
Otto, M; Bouchaud, J-P; Claudin, P; Socolar, JES
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
March 2003

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.

Duke Scholars

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

March 2003

Volume

67

Issue

3 Pt 1

Start / End Page

031302

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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ICMJE
MLA
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Otto, M., Bouchaud, J.-P., Claudin, P., & Socolar, J. E. S. (2003). Anisotropy in granular media: classical elasticity and directed-force chain network. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 67(3 Pt 1), 031302. https://doi.org/10.1103/physreve.67.031302
Otto, M., J. -. P. Bouchaud, P. Claudin, and J. E. S. Socolar. “Anisotropy in granular media: classical elasticity and directed-force chain network.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 67, no. 3 Pt 1 (March 2003): 031302. https://doi.org/10.1103/physreve.67.031302.
Otto M, Bouchaud J-P, Claudin P, Socolar JES. Anisotropy in granular media: classical elasticity and directed-force chain network. Physical review E, Statistical, nonlinear, and soft matter physics. 2003 Mar;67(3 Pt 1):031302.
Otto, M., et al. “Anisotropy in granular media: classical elasticity and directed-force chain network.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 67, no. 3 Pt 1, Mar. 2003, p. 031302. Epmc, doi:10.1103/physreve.67.031302.
Otto M, Bouchaud J-P, Claudin P, Socolar JES. Anisotropy in granular media: classical elasticity and directed-force chain network. Physical review E, Statistical, nonlinear, and soft matter physics. 2003 Mar;67(3 Pt 1):031302.

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

March 2003

Volume

67

Issue

3 Pt 1

Start / End Page

031302

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences