Summary
The dynamic behavior of a dry long bone that has been modeled as a piezoelectric hollow cylinder of crystal class 6 is investigated. The solution for the wave propagation problem is expressed in terms of a potential function which satisfies an eighth-order partial differential equation, whose solutions lead to the derivation of the explicit solution of the wave equation. The mechanical boundary conditions correspond to those of stress free lateral surfaces, while the electrical boundary conditions correspond to those of short circuit. The satisfaction of the boundary conditions leads to the dispersion relation which is solved numerically. The frequencies obtained are presented as functions of various parameters and they compare well with other researchers' theoretical results.
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Fotiadis, D.I., Foutsitzi, G. & Massalas, C.V. Wave propagation modeling in human long bones. Acta Mechanica 137, 65–81 (1999). https://doi.org/10.1007/BF01313145
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DOI: https://doi.org/10.1007/BF01313145