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Wave propagation in bone media

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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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Authors and Affiliations

  1. Department of Mathematics, University of Toledo, Toledo, Ohio

    H. Westcott Vayo

  2. Department of Mechanical & Aerospace Engineering, Washington University, St. Louis, Missouri

    Dhanjoo N. Ghista

Authors
  1. H. Westcott Vayo
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  2. Dhanjoo N. Ghista
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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

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