Density wave propagation of momentum and the formation of arches in the undulation of a vertically vibrated thin granular layer
Year: 2025
Type: article
Abstract: Experimental and theoretical investigations are made on the aspect ratio of the height δ to wavelength λ of the undulations generated in a dry granular layer confined between two parallel vertical planes under vertical vibration of frequency f and amplitude a . We elucidated the propagation of the density wave along the layer, which suggests one or two order smaller macroscopic elastic constant ascribed to a configuration change of the constituent particles. Our experiment also suggests the relation λ ∝ 1 / ( p - p c ) irrespective of the size of the container, where p ( ∝ f a ) is the momentum given by the external forcing, which is reminiscent of the de Broglie wave known in quantum mechanics. We further performed a numerical simulation on the onset and development of undulations using our simplified model, in which horizontal dilatation generated by mutual intrusion of particles near the bottom of the container develops to an arch formation of the granular layer. Influence of the friction of the granular material is examined.
Source: Comptes Rendus Mécanique
DOI: 10.5802/crmeca.327
Author: Osamu Sano
Institution: Tokyo University of Agriculture and Technology
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416595199