The propagation of Elastic Waves in Granular Solid Hydrodynamics
Michael Mayer, Mario Liu
TL;DR
This paper demonstrates that granular solid hydrodynamics effectively explains the anisotropic, stress-dependent elastic wave velocities in glass beads, aligning well with experimental observations without relying on fabric anisotropy.
Contribution
It shows that a broad-range macroscopic theory can account for complex elastic wave behaviors in granular materials without considering fabric anisotropy.
Findings
Granular solid hydrodynamics matches experimental wave velocity data.
The theory explains stress-dependent anisotropic wave propagation.
Fabric anisotropy is not necessary to model observed phenomena.
Abstract
The anisotropic, stress-dependent velocity of elastic waves in glass beads -- as observed by Y. Khidas and X. Jia, see [Phys. Rev. E, 81:021303, Feb. 2010] -- is shown to be well accounted for by ``granular solid hydrodynamics,'' a broad-range macroscopic theory of granular behavior. As the theory makes no reference to fabric anisotropy, the influence of which on sound is in doubt.
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