Anisotropic elastic theory of preloaded granular media
arXiv:cond-mat/0208155 · doi:10.1209/epl/i2004-10162-1
Abstract
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.
7 pages, 2 figures. Accepted version. [email protected] [email protected]