| Issue |
Europhys. Lett.
Volume 68, Number 1, October 2004
|
|
|---|---|---|
| Page(s) | 51 - 57 | |
| Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
| DOI | https://doi.org/10.1209/epl/i2004-10162-1 | |
| Published online | 01 September 2004 | |
Anisotropic elastic theory of preloaded granular media
1
Centre de recherche Paul Pascal–CNRS - Av. Schweitzer, 33600 Pessac, France
2
Lyman Laboratory of Physics, Harvard University - Cambridge, MA 02138, USA
Received:
5
January
2004
Accepted:
27
July
2004
A macroscopic elastic description of stresses in static, preloaded granular media is derived systematically from the microscopic elasticity of individual inter-grain contacts. The assumed preloaded state and friction at contacts ensure that the network of inter-grain contacts is not altered by small perturbations. The texture of this network, set by the preparation of the system, is encoded in second- and fourth-order fabric tensors. A small perturbation generates both normal and tangential inter-grain forces, the latter causing grains to reorient. This reorientation response and the incremental stress are expressed in terms of the macroscopic strain.
PACS: 45.70.Cc – Static sandpiles; granular compaction / 46.25.-y – Static elasticity / 62.20.Dc – Elasticity, elastic constants
© EDP Sciences, 2004
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