On nonlinear dynamics of neutral modes in elastic waves in granular media

Strunin, Dmitry V.; Ali, Adham A.

doi:10.1166/jcsmd.2016.1105

Cited by 2 publications

(1 citation statement)

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“…See that the curves lie entirely below zero, which means that the wave decays and the decay rate depends on the number and radius of the bubbles. This result agrees with the conception emphasized in [24,25] about the essentially passive nature of the freely propagating elastic wave. Similar results are obtained for variants (b) and (c) as shown in Figs 5-8.…”

Section: Dissipation Relationsupporting

confidence: 92%

The Effect of Rheology with Gas Bubbles on Linear Elastic Waves in Fluid-Saturated Granular Media

Ali

Strunin

2018

International Journal of Applied Mechanics and Engineering

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Elastic waves in fluid-saturated granular media depend on the grain rheology, which can be complicated by the presence of gas bubbles. We investigated the effect of the bubble dynamics and their role in rheological scheme, on the linear Frenkel-Biot waves of P1 type. For the wave with the bubbles the scheme consists of three segments representing the solid continuum, fluid continuum and bubbles surrounded by the fluid. We derived the Nikolaevskiy-type equation describing the velocity of the solid matrix in the moving reference system. The equation is linearized to yield the decay rate λ as a function of the wave number k. We compared the λ (k) -dependence for the cases with and without the bubbles, using typical values of the input mechanical parameters. For both the cases, the λ(k) curve lies entirely below zero, which implies a global decay of the wave. We found that the increase of the radius of the bubbles leads to a faster decay, while the increase in the number of the bubbles leads to slower decay of the wave.

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Section: Dissipation Relationsupporting

confidence: 92%