Force distribution in an inhomogeneous sandpile |
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Authors: | JM Huntley |
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Institution: | (1) Loughborough University, Department of Mechanical Engineering, Loughborough LE11 3TU, UK, GB |
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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.
Received 29 January 1998 and Received in final form 7 September 1998 |
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Keywords: | PACS 81 05 Rm Porous materials granular materials - 46 10 +z Mechanics of discrete systems - 83 70 Fn Granular solids |
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