Open AccessLocalization of the small amplitude wave in three dimensional granular material
Author(s) -
Peng Jing,
Yang Gao,
Tao Liang,
Wen Shan Duan,
Lei Yang
Publication year - 2020
Publication title -
journal of physics communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.407
H-Index - 17
ISSN - 2399-6528
DOI - 10.1088/2399-6528/ab8e2a
Subject(s) - bead , amplitude , attenuation , radius , granular material , mechanics , modulus , longitudinal wave , physics , materials science , wave propagation , optics , composite material , computer security , computer science
A general small amplitude wave equations are proposed for the granular material. It is shown that the wave is localized in a certain region which is in agreement with that found in both the analytical and the simulation results. The localization region depends on the wave frequency and the parameters of the granular material such as the bead radius, the magnitude of the initial prestress, the Young’s modulus and the bead mass. Several examples are given which indicate that the attenuation rate of the wave depend on the permutation of the bead. It also depends on whether the wave is longitudinal or tangential.