Open Access Research

The effect of initial stress and magnetic field on wave propagation in human dry bones

Samy R Mahmoud12*, Abdelouahed Tounsi3, Ahmed T Ali14 and Khalil S Al-Basyouni1

Author Affiliations

1 Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

2 Mathematics Department, Science Faculty, Sohag University, Sohag, Egypt

3 Civil Engineering Department, Faculty of Technology, University of SidiBel Abbes, SidiBel Abbes, Algeria

4 Department of Mathematics, Faculty of Science, Al-Azhar University, Nassr, Egypt

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Boundary Value Problems 2014, 2014:135  doi:10.1186/1687-2770-2014-135

Published: 27 May 2014

Abstract

The aim of the present paper is to study the influence of initial stress and magnetic field on the propagation of harmonic waves in a human long dry bone as transversely isotropic material, subject to the boundary conditions that the outer and inner surfaces are traction free. The equations of elastodynamics are solved in terms of displacements. The natural frequency of plane vibrations in the case of harmonic vibrations has been obtained. The frequencies and phase velocity are calculated numerically, the effects of initial stress and magnetic field are discussed. Comparisons are made with the result in the absence of initial stress and magnetic field.

MSC: 74B05.

Keywords:
initial stress; magnetic field; bones; poroelastic; mechanical wave; piezoelectric