Abstract
Propagation of coherent elastic waves in solids containing randomly distributed resonant cylindrical cavities is studied numerically and experimentally. This work focuses especially on the case of water-filled cavities in aluminum alloys, which exhibit numerous Mie resonances in the frequency range investigated. Coherent wave measurements are performed in transmission at normal incidence for longitudinal waves and at oblique incidence beyond the critical angle for shear waves. Experimental observations are completed by numerical simulations made with an in-house code called MuScat adapted to the solid matrix case with wave conversions at the surface of each scatterer. The effective wave numbers obtained experimentally and numerically are compared with those predicted by statistical models based on the multiple scattering theory. Remarkable agreements between theoretical, numerical, and experimental results are obtained up to a concentration of 9.9% of cylinders.
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