In this paper, a cylindrical thick-walled hollow bone filled with marrow is modeled as a transversely isotropic poroelastic thick-walled hollow cylinder filled with a fluid, and analytical solutions for radial vibrations in the same have been obtained. Considering the boundaries to be stress free, frequency equations are obtained in the cases of bone without marrow and bone with marrow for permeable and impermeable boundaries. Limiting the case when the ratio of thickness to inner radius is very small is investigated numerically. The accessible information of bony material has been used for the numerical evaluation. Attenuation versus ratio of outer and inner radii of bone at various anisotropic ratios are computed. Phase velocity and group velocity are computed as a function of wavenumber. These values are depicted graphically and then discussed.
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