Abstract
The present paper studied the reflection of thermo-microstretch waves under the generalized thermoelasticity theory which is employed to study the reflection of plane harmonic waves from a semi-infinite elastic solid under the effect of the electromagnetic field, initial stress, and gravity. The formulation is applied under the thermoelasticity theory with three-phase lag, and the reflection coefficient ratio variations with the angle of incidence under different conditions are obtained. Numerical results obtained from the present study are presented graphically and discussed. It is observed that the initial stress, gravitation, and electromagnetic field exert some influence in the thermo-microstretch medium due to reflection of P-waves.
Highlights
In recent decades, the influences of electromagnetic field, initial stress, gravitation, and thermal field have been much pronounced in diverse fields, especially, engineering, geophysics, geology, acoustics, plasma, and physics because of its utilitarian aspects in these fields. e generalized theories of thermoelasticity, which admit the finite speed of a thermal signal, have been the center of interest of active research
We obtain the following conclusions based on the above analysis: (1) e reflected P waves and amplitude of the reflected P waves depend on the angle of incidence, rotation, initial stress, gravity field, and magnetic field, and the nature of this dependence is different for different reflected P waves
(2) e rotation, initial stress, gravity field, and electromagnetic field play a significant role, and the effects have the inverse trend for the reflected P waves and amplitude of the reflected P waves
Summary
The influences of electromagnetic field, initial stress, gravitation, and thermal field have been much pronounced in diverse fields, especially, engineering, geophysics, geology, acoustics, plasma, and physics because of its utilitarian aspects in these fields. e generalized theories of thermoelasticity, which admit the finite speed of a thermal signal, have been the center of interest of active research. Allam et al [1] discussed the Green–Lindsay model of reflection of P and SV waves from the free surface of thermoelastic diffusion, solid under influence of the electromagnetic field, and initial stress. Abo-Dahab and Kilicman [2] illustrated the reflection and transmission of Pand SV-wave phenomena at the interface between solid and liquid media with magnetic field and two thermal relaxation times. [4] studied SV wave’s incidence at the interface between solid and liquid media under electromagnetic field and initial stress in the context of three thermoelastic theories. E objective of the present investigation is to determine the reflection of P waves from the thermo-electro-magnetomicrostretch medium in the context of three-phase lag model under the effect of rotation, electromagnetic field, and gravity with initial stress.
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