Effect of rotation on Rayleigh–Lamb waves in magneto-thermoelastic media

In this paper propagation of magnetic-thermoelastic plane waves in an initially unstressed, homogeneous isotropic, conducting plate, rotating about the normal to its faces with uniform angular velocity, under the action of uniform magnetic field has been investigated. The generalized theory of thermoelasticity is employed, by assuming electrical behavior as quasi-static and the mechanical behavior as dynamic, to study the problem. The secular equations for both symmetric and skew symmetric waves have been obtained. The magneto-elastic shear horizontal (SH) modes of wave propagation gets decoupled from rest of the motion here, however it may not be in general possible if the rotation took place in an arbitrary direction. These waves propagate without the influence of temperature change and thermal relaxation time. At short wavelength limits, the secular equations for symmetric and skew symmetric modes reduce to Rayleigh surface wave frequency equation. Thin plate results are also deduced. Finally, the dispersion curves are computed and represented graphically for various modes of wave propagation in different theories of thermoelasticity. The amplitudes of displacement, perturbed magnetic field and temperature change are also obtained analytically, computed numerically at the end and plotted graphically. The result in case of non-rotating media, elastokinetics, magneto-elasticity and coupled magneto-elasticity has also been deduced as special cases at appropriate stages of this work.