Anisotropic elastic theory of preloaded granular media

Details Anisotropic elastic theory of preloaded granular media Anisotropic elastic theory of preloaded granular media

2002-08-08

arxiv.org/abs/cond-mat/0208155v3

Europhys. Lett., 68 (1), 51-57 (2004)

Physics

Condensed Matter

Soft Condensed Matter

7 pages, 2 figures. Accepted version. cgay@crpp.u-bordeaux.fr rava@physics.harvard.edu

Scientific paper

10.1209/epl/i2004-10162-1

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.

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