Plane waves in an initially stressed rotating magneto-thermoelastic half-space with diffusion and microtemperatures

ABSTRACT

The present analysis is concerned with the reflection of plane waves at the free surface of an isotropic, homogeneous, initially stressed rotating magneto-thermoelastic medium with diffusion and microtemperatures. It is noticed that there exist five sets of coupled waves in addition to an independent microtemperature wave, which travels through the medium with distinct speeds. The entire thermoelastic medium is rotating with a uniform angular velocity. Using appropriate boundary conditions, the amplitude and energy ratios of various reflected waves are computed analytically. For a particular model, the numerical values of the amplitude ratios are presented graphically to estimate and highlight the effects of initial stress, magnetic field, angular velocity, diffusion and microtemperature parameters. The expressions of energy ratios obtained in the explicit form are presented graphically as functions of the angle of incidence. It is verified that there is no loss of energy at the boundary surface during the reflection phenomenon.

KEYWORDS:

• Diffusion
• initial stress
• magneto-thermoelasticity
• microtemperatures
• reflection
• rotation

2010 MSC:

• 74A15
• 80A20

Disclosure statement

No potential conflict of interest was reported by the author(s).