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Solitary wave trains in granular chains: experiments, theory and simulations

2007/09/11 by Stéphane Job, Stephane Job, Francisco Melo +2 · 1 citation
Engineering · Physics and Astronomy · #Geotechnical Engineering and Soil Mechanics #Granular flow and fluidized beds #Nonlinear Photonic Systems #cond-mat.mtrl-sci #cond-mat.soft

paper · pdf · doi:10.1007/s10035-007-0054-2

published as Granular Matter, vol. 10-1, pp. 13-20, December 2007 · The original publication is available at http://www.springerlink.com (related papers at http://www.supmeca.fr/perso/jobs)

openalex publication_date 2007/09/11 · arxiv created 2007/11/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The features of solitary waves observed in horizontal monodisperse chain of barely touching beads not only depend on geometrical and material properties of the beads but also on the initial perturbation provided at the edge of the chain. An impact of a large striker on a monodisperse chain, and similarly a sharp decrease of bead radius in a stepped chain, generates a solitary wave train containing many single solitary waves ordered by decreasing amplitudes. We find, by simple analytical arguments, that the unloading of compression force at the chain edge has a nearly exponential decrease. The characteristic time is mainly a function involving the grains' masses and the striker mass. Numerical calculations and experiments corroborate these findings.

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