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J Acoust Soc Am. 2009 Jun;125(6):3589-96. doi: 10.1121/1.3124779.

Attenuation and dispersion of antiplane shear waves due to scattering by many two-dimensional cavities.

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Faculty of Science, Ibaraki University, Mito, Japan.


Propagation and scattering of antiplane shear waves within media with two-dimensional cavities are numerically simulated, and the attenuation and phase velocities are experimentally determined. The results are compared with the predictions by the Foldy theory and its three corrected versions. If the cavity concentrations are small such as 0.02, the differences among the theoretical predictions are insignificant, and every theory is consistent with the experimental results. For higher concentrations such as 0.1, the differences become significant, but there are no objective grounds to say that any of the corrected versions of the Foldy theory works better than the original. If the error tolerance is as high as 10%, the simple Foldy formula may remain useful for concentrations up to about 0.1.


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