Abstract
The composite nature of bone dictates the use of a model for bone which is transversely isotropic. We solve the associated sets of partial differential equations governing the dynamic elastic behavoor of a two-layered cylindrical-shaped bone. The solution is analyzed for long, short, and intermediate length waves. The special case of compact bone is treated for long and short wave lengths and a numerical example is worked out to determine the wave speeds (for short wave lengths) given a set of elastic constants, determined by ultrasonic methods, and the bone density, wave frequency, and radius.
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Westcott Vayo, H., Ghista, D.N. Wave propagation in bone media. Bulletin of Mathematical Biophysics 33, 463–479 (1971). https://doi.org/10.1007/BF02476787
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DOI: https://doi.org/10.1007/BF02476787