On the Determination of the Elastic and Anelastic Properties
of Isotropic Spheres
by Martin Smith
We have presented a self-contained account of the
theoretical framework necessary to infer
the elastic properties of layered spheres from their
forced or free resonance spectra. In support of these
results, we have provided numerical and experimental results,
limited for external reasons to singly layered bodies. We have
also provided graphical aids which enable a rapid and
fairly accurate determination of compressional and shear velocities
for a homogeneous sphere from a single, particular pair
of modes. This technique is useful down to Q's at least as
low as 100, although unambiguous interpretation
of observed spectra requires recourse to the theoretical spectral
amplitudes and application of the interference rules.
Theoretical spectral calculations suggest that simple
peak-width measurements will not provide the information
necessary to infer both compressional
and shear attenuations, at least for low-Q materials.
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