The stress field in granular systems: Loop forces and potential formulation
| dc.creator | Ball, RC | |
| dc.creator | Blumenfeld, R | |
| dc.date | 2000-08-08 | |
| dc.date.accessioned | 2026-07-07T02:38:26Z | |
| dc.date.available | 2026-07-07T02:38:26Z | |
| dc.description | 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. The loop force formulation leads to a local constitutive equation coupling the stress tensor to {\it fluctuations} in the local geometry. For a disordered pile of rough grains (even with simple orientational order) this means the stress tensor components are coupled in a frustrated manner, analogous to a spin glass. If the local geometry of the pile of rough grains has long range staggered order, frustration is avoided and a simple linear theory follows. Known exact lattice solutions for rough grains fall into this class. We show that a pile of smooth grains (lacking friction) can always be mapped into a pile of unfrustrated rough grains. Thus it appears that the problems of rough and smooth grains may be fundamentally distinct. | |
| dc.description | 4 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0008127 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0008127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16666 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | The stress field in granular systems: Loop forces and potential formulation | |
| dc.type | text |