Directed force chain networks and stress response in static granular materials |
| |
| Authors: | JES Socolar DG Schaeffer P Claudin |
| |
| Institution: | (1) Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708, USA, US;(2) Department of Mathematics and Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708, USA, US;(3) Laboratoire des Milieux Désordonnés et Hétérogènes (UMR 7603), 4 place Jussieu, case 86, 75252 Paris Cedex 05, France, FR |
| |
| Abstract: | 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.
Received 16 January 2002 |
| |
| Keywords: | PACS 45 70 Cc Static sandpiles granular compaction – 83 80 Fg Granular solids |
| 本文献已被 SpringerLink 等数据库收录！ |
|
