On surfaces waves in a finitely deformed magnetoelastic half space

Saxena, P. and Ogden, R. (2011) On surfaces waves in a finitely deformed magnetoelastic half space. International Journal of Applied Mechanics, 3(4), pp. 633-665. (doi: 10.1142/S1758825111001172)

Abstract

Rayleigh-type surface waves propagating in an incompressible isotropic half-space of nonconducting magnetoelastic material are studied for a half-space subjected to a finite pure homogeneous strain and a uniform magnetic field. First, the equations and boundary conditions governing linearized incremental motions superimposed on an initial motion and underlying electromagnetic field are derived and then specialized to the quasimagnetostatic approximation. The magnetoelastic material properties are characterized in terms of a "total" isotropic energy density function that depends on both the deformation and a Lagrangian measure of the magnetic induction. The problem of surface wave propagation is then analyzed for different directions of the initial magnetic field and for a simple constitutive model of a magnetoelastic material in order to evaluate the combined effect of the finite deformation and magnetic field on the surface wave speed. It is found that a magnetic field in the considered (sagittal) plane in general destabilizes the material compared with the situation in the absence of a magnetic field, and a magnetic field applied in the direction of wave propagation is more destabilizing than that applied perpendicular to it.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Ogden, Professor Raymond and Saxena, Dr Prashant
• Authors: Saxena, P., and Ogden, R.
• College/School: College of Science and Engineering > School of Mathematics and Statistics
• Journal Name: International Journal of Applied Mechanics
• Publisher: World Scientific Publishing
• ISSN: 1758-8251
• Copyright Holders: Copyright © 2011 World Scientific Publishing
• First Published: First published in International Journal of Applied Mechanics 3(4):633-665
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher