Effects of Rotation on Harmonic Plane Waves Under Two-Temperature Thermoelasticity

Abstract

The present article is aimed at a detailed analysis of the effects of rotation on the propagation of harmonic plane waves under two-temperature thermoelasticity theory. We consider a homogeneous and isotropic elastic medium that is rotating with uniform angular velocity. After formulating the problem, we obtain the dispersion relations for the longitudinal and transverse plane waves propagating in the medium and the solutions of dispersion relations are obtained analytically for high-frequency as well as for low-frequency values. On the basis of these solutions, the asymptotic expressions of the important characterizations of the wave fields for high and low frequency values are derived. To observe the behavior of the wave characterizations for the intermediate values of frequency and to examine the effects of rotation on them, computational work is carried out and numerical values of different wave fields for various values of frequency and for various angle of rotation are computed. The results are shown graphically. An in-depth analysis of the effects of rotation on plane wave is presented on the basis of our analytical and numerical results and the several significant points are highlighted. A comparative analysis of our results with the corresponding results in absence of rotation of the body is also presented.

Keywords:

• Centripetal and coriolis acceleration
• Harmonic plane wave
• Rotating elastic body
• Two-temperature thermoelasticity

ACKNOWLEDGMENTS

The authors gratefully acknowledge the valuable comments and suggestions of the reviewers, which have helped to improve the quality of the paper. One of the authors (RP) thankfully acknowledges the Rajeev Gandhi National Fellowship under University Grant Commission, India.