Wave propagation in a transversely isotropic magneto-electro-elastic solid bar immersed in an inviscid fluid

Authors

1 a Department of Mathematics, Karunya University, Coimbatore, Tamil Nadu, India

2 Departments of Mathematics, Govt Arts College, Coimbatore, Tamil Nadu, India

Abstract

Wave propagation in a transversely isotropic magneto-electro-elastic solid bar immersed
in an inviscid fluid is discussed within the frame work of linearized three dimensional theory of
elasticity. Three displacement potential functions are introduced to uncouple the equations of
motion, electric and magnetic induction. The frequency equations that include the interaction
between the solid bar and fluid are obtained by the perfect slip boundary conditions using the Bessel
functions. The numerical calculations are carried out for the non-dimensional frequency, phase
velocity and attenuation coefficient by fixing wave number and are plotted as the dispersion curves.
The results reveal that the proposed method is very effective and simple and can be applied to other
bar of different cross section by using proper geometric relation

Keywords

Journal of the Egyptian Mathematical Society
Volume 24, Issue 1
2016
Pages 92-99

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