The reflection phenomena of SV‐waves in a generalized thermoelastic medium

Abstract

Abstract. We discuss the reflection of thermoelastic plane waves at a solid half-space nearby a vacuum. We use the generalized thermoelastic waves to study the effects of one or two thermal relaxation times on the reflection plane harmonic waves. The study considered the thermal and the elastic waves of small amplitudes in a homogeneous, isotropic, and thermally conducting elastic solid. The expressions for the reflection coefficients, which are the ratio of the amplitudes of the reflected waves to the amplitude of the incident waves are obtained. It has been shown, analytically, that the elastic waves are modified due to the thermal effect. The reflection coefficients of a shear wave that incident from within the solid on its boundary, which depend on the thermoelastic coupling factor and included the thermal relaxation times, have been found in the general case. The numerical values of reflection coefficients against the angle of incidence for different values of thermal relaxation times have been calculated and the results are given in the form of graphs. Some special cases of reflection have also been discussed, for example, in the absence of thermal effect our results reduce to the ordinary pure elastic case.

Propagation of plane waves in a rotating magneto-thermoelastic fiber-reinforced medium under G-N theory

“…The field of study known as magneto thermoelasticity has applications in several areas, particularly in nuclear devices, biomedical engineering and geomagnetic investigations. Some of the works related to this field are Abd-Alla and Al-Dawy [1,2], Ezzat and Othman [10], Ezzat [9], Ezzat et al [11], Wang et al [25], Othman and Song [22], Othman [19], Othman and Said [23]. A number of discussions relating wave propagation in rotating isotropic or anisotropic media were reported in literature, some of which are the works of RoyChoudhuri [7], Gupta and Gupta [14], Singh [24], Maity et al [16,17].…”

Study of reflection and transmission of plane waves at thermoelastic-diffusive solid/liquid interface

“…studied the reflection of piezo-thermoelastic waves from the charge free and stress free boundary of transversely isotropic half space. Abd-Alla and Al-Dawy (2000) discussed the reflection of thermoelastic plane wave at a generalized thermoelastic half space with one and two relaxation times. Singh (2010) applied the LS and GL theories of generalized thermoelasticity to study the reflection from a thermally insulated stressfree thermoelastic solid half-space of monoclinic type.…”

The Mathematical Modelling for Studying the Influence of the Initial Stresses and Relaxation Times on Reflection and Refraction Waves in Piezothermoelastic Half-Space

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