Abstract
In a viscoelastic composite material including bone, acoustic waves undergo both geometric and viscoelastic dispersions as they propagate through the medium. The viscoelastic dispersion is characterized by an increase in phase velocity with increase in frequency, while the geometric dispersion is well-known. By comparing the dispersion data on these and other types of materials, it has been noted that the increases in the ultrasonic velocities for bones are much larger than those for simple viscoelastic solids and composites, suggesting an additional dispersion mechanism. This additional dispersion can be explained by Mindlin's theory on the Cosserat continuum with microstructure.
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Yoon, H.S., Katz, J.L. Is bone a Cosserat solid?. J Mater Sci 18, 1297–1305 (1983). https://doi.org/10.1007/BF01111946
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DOI: https://doi.org/10.1007/BF01111946