Abstract
Abstract In this article, we analyzed the effect of variable thermal conductivity on reflected elastic waves. The waves are propagating through a thermoelastic medium rotating with some angular frequency. The concept of micro-temperature is also been considered, in which microelements of the medium contain a high temperature. A heat conduction phenomenon is encountered by dual phase-lag heat conduction model. P (or SV)-type wave is incident on the medium with some specific angle of incidence. After reflection from the surface incident, P-wave is converted into quasi longitudinal and quasi transverse waves and propagates back into the medium. Helmholtz’s potential function along with the harmonic wave solution is used to obtain the solution of the model. Analytically, we calculated the amplitude ratios and attenuation factor for each reflected wave against the angle of incidence. The obtained results are also represented graphically for different values of rotational frequency and variable thermal conductivity for a particular material.
Highlights
In this article, we analyzed the effect of variable thermal conductivity on reflected elastic waves
We have considered a generalized homogeneous isotropic thermoelastic medium with micro temperature
The amplitude ratio of each wave propagating through the medium after reflecting through the surface are represented graphically for different rotational frequency and variable thermal conductivity of the medium
Summary
Abstract: In this article, we analyzed the effect of variable thermal conductivity on reflected elastic waves. The waves are propagating through a thermoelastic medium rotating with some angular frequency. The obtained results are represented graphically for different values of rotational frequency and variable thermal conductivity for a particular material. Great work has been done by investigators regarding wave propagation and reflection and refraction in thermo-elastic waves. Several investigators have worked on wave propagation in isotropic thermo-elasticity. Steeb and Singh [10] investigated the time harmonic waves in thermoelastic materials with micro temperatures Singh and Yadev [11] have studied reflection plane waves in rotating isotropic medium. We have studied the reflection of plane wave through the stress free surface of the thermo-elastic medium. Theoretical results obtained are represented graphically for the particular material to manifest the effects of rotation and variable thermal conductivity
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