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Directed force chain networks and stress response in static granular materials.

Publication ,  Journal Article
Socolar, JES; Schaeffer, DG; Claudin, P
Published in: The European physical journal. E, Soft matter
April 2002

A theory of stress fields in two-dimensional granular materials based on directed force chain networks is presented. A general Boltzmann equation for the densities of force chains in different directions is proposed and a complete solution is obtained for a special case in which chains lie along a discrete set of directions. The analysis and results demonstrate the necessity of including nonlinear terms in the Boltzmann equation. A line of nontrivial fixed-point solutions is shown to govern the properties of large systems. In the vicinity of a generic fixed point, the response to a localized load shows a crossover from a single, centered peak at intermediate depths to two propagating peaks at large depths that broaden diffusively.

Duke Scholars

Published In

The European physical journal. E, Soft matter

DOI

EISSN

1292-895X

ISSN

1292-8941

Publication Date

April 2002

Volume

7

Issue

4

Start / End Page

353 / 370

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Socolar, J. E. S., Schaeffer, D. G., & Claudin, P. (2002). Directed force chain networks and stress response in static granular materials. The European Physical Journal. E, Soft Matter, 7(4), 353–370. https://doi.org/10.1140/epje/i2002-10011-7
Socolar, J. E. S., D. G. Schaeffer, and P. Claudin. “Directed force chain networks and stress response in static granular materials.The European Physical Journal. E, Soft Matter 7, no. 4 (April 2002): 353–70. https://doi.org/10.1140/epje/i2002-10011-7.
Socolar JES, Schaeffer DG, Claudin P. Directed force chain networks and stress response in static granular materials. The European physical journal E, Soft matter. 2002 Apr;7(4):353–70.
Socolar, J. E. S., et al. “Directed force chain networks and stress response in static granular materials.The European Physical Journal. E, Soft Matter, vol. 7, no. 4, Apr. 2002, pp. 353–70. Epmc, doi:10.1140/epje/i2002-10011-7.
Socolar JES, Schaeffer DG, Claudin P. Directed force chain networks and stress response in static granular materials. The European physical journal E, Soft matter. 2002 Apr;7(4):353–370.
Journal cover image

Published In

The European physical journal. E, Soft matter

DOI

EISSN

1292-895X

ISSN

1292-8941

Publication Date

April 2002

Volume

7

Issue

4

Start / End Page

353 / 370

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences