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Dispersion of longitudinal and shear elastic waves in solid two-component inertial mixtures

Erofeev V.I., Kazhaev V.V., Sheshenin S.F.

#### Abstract:

We study the properties of two-component media, which is defined as an inertial mixture, in which the force of interaction between the components is proportional to the relative acceleration. We derive a system of equations, which describes independent propagation of three types of waves: longitudinal wave and two types of shear waves. We discover the phenomena typical for multiphase media: doubling of modes, blocking of modes, and appearance of inhomogeneous waves. Based on the dependence of phase velocity on the number of waves (for the harmonic waves propagating in mixture), we determine the physical constants for each of the components.

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