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Analytical solution of electro-mechanical wave propagation in long bones

Applied Mathematics and Computation • 2001
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Publication Information
Authors A M El-Naggar; A M Abd-Alla; S R Mahmoud
Keywords Elastic; Bones; Piezoelectric transversely; Isotropic; Electrical field; Magnetic field; Frequency
Journal Applied Mathematics and Computation
Publisher Not Available
Volume 119
Issue 1
Pages 77-98
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
Abstract
In this work, analytic solution of electro-mechanical wave propagation in a long bone has been obtained. A dry long bone is considered as a piezoelectric transversely isotropic hollow cylinder, for stress wave a flexural mode for n=1,2 is studied. The dispersion curve is plotted. The generated electro-magnetic fields as a function of cylindrical coordinates are obtained, and then the components of the magnetic field are plotted. Theoretical results are compared with the in vitro experimental values as measured by a previously developed non-contacting electromagnetic device.