Abstract:
The force perturbation field in a two-dimensional pile of frictionless gravity-loaded discs or spheres arising from lattice distortions is derived to first order. The starting point is the model proposed by Liffman et al. (Powder Technology (1992) pp. 255-267) and Hong (Phys. Rev. E 47, 760-762 (1993)) in which discs of uniform size are arranged on a regular lattice: this predicts a uniform normal stress distribution at the base of the pile. The analysis is applied to two problems: (i) deformable (rather than rigid) grains that undergo Hertzian deformation at the points of contact; (ii) a pile containing a gradient in particle size from the centre to the free surfaces. The former results in the classical pressure dip at the centre; the latter also produces a dip if the larger particles are at the centre.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 29 January 1998 and Received in final form 7 September 1998
Rights and permissions
About this article
Cite this article
Huntley, J. Force distribution in an inhomogeneous sandpile. Eur. Phys. J. B 8, 389–397 (1999). https://doi.org/10.1007/s100510050704
Issue Date:
DOI: https://doi.org/10.1007/s100510050704