Abstract
This research article deals with the propagation of plane waves in a rotating magneto-thermoelastic half-space with diffusion in the context of Lord–Shulman theory of thermoelasticity. The governing equations are formulated for a specialized plane and solved to obtain the velocity equation, which indicates the existence of four coupled plane waves. The wave velocities are computed for a particular medium, and the effect of the diffusion parameter is shown graphically on these waves. Impedance boundary conditions are applied to study the reflection of plane waves from the stress-free and thermally insulated/isothermal surface. Reflection coefficients and energy ratios of the reflected waves are also obtained, and the variations of reflection coefficients and energy ratios against the angle of incidence are shown graphically.
Highlights
The coupling between the strain and temperature fields was first studied by Duhamel1 to investigate the distribution of strain in an elastic medium subjected to temperature gradients
Green and Naghdi7–9 coined another theory of generalized thermoelasticity, which permits the flow of heat as thermal waves at a finite speed, and the heat flow does/does not involve energy dissipation
Eminent of them are as follows: Christie16 examined a problem of reflection at a traction free surface for the incidence of plane waves in the half-space for the plate, and reflection coefficients were obtained
Summary
The coupling between the strain and temperature fields was first studied by Duhamel to investigate the distribution of strain in an elastic medium subjected to temperature gradients. Singh and Yadav made an investigation into the propagation of plane waves and their reflection in a rotating transversely isotropic magneto-thermoelastic solid half-space. Othman and Song studied the effect of rotation and magnetic field on the reflection of a plane wave in a thermoelastic medium with two relaxation times and temperature-dependent elastic moduli. Singh et al. studied the effect of the impedance boundary on the reflection of plane waves from the free surface of a rotating thermoelastic solid half-space. Singh et al. studied the effect of the impedance boundary on the reflection of plane waves from the free surface of a micropolar thermoelastic solid half-space.
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