Europhys. Lett.
Volume 68, Number 1, October 2004
Page(s) 51 - 57
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 01 September 2004
Europhys. Lett., 68 (1), pp. 51-57 (2004)
DOI: 10.1209/epl/i2004-10162-1

Anisotropic elastic theory of preloaded granular media

C. Gay1 and R. A. da Silveira2

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 in final form 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.

45.70.Cc - Static sandpiles; granular compaction.
46.25.-y - Static elasticity.
62.20.Dc - Elasticity, elastic constants.

© EDP Sciences 2004