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|
Anisotropic elastic theory of preloaded granular media
Centre de recherche Paul Pascal–CNRS - Av. Schweitzer, 33600 Pessac, France
2 Lyman Laboratory of Physics, Harvard University - Cambridge, MA 02138, USA
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.