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.
arXiv comment7 pages, 2 figures. Accepted version. [email protected] [email protected]
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- Internal states of model isotropic granular packings. III. Elastic properties
- Effects of Friction and Disorder on the Quasi-Static Response of Granular Solids to a Localized Force
- Sensitivity of the stress response function to packing preparation
- On the Granular Stress-Geometry Equation
- Stress response inside perturbed particle assemblies