Investigation of Rotation on Plane Waves Under Two-Temperature Theory in Generalized Thermoelasticity

EasyChair Preprint no. 6832

Abstract

The present paper 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. The asymptotic expressions of several important characterizations of the wave fields are obtained for high frequency as well as for low frequency values. In order 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 to find the numerical values of different wave fields for intermediate values of frequency and for various angle of rotation. 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.

Keyphrases: Generalized Thermoelasticity, Harmonic plane wave, Two-temperature thermoelasticiy

@Booklet{EasyChair:6832,
  author = {Rajesh Prasad and Amitabh Gyan Ranjan},
  title = {Investigation of Rotation on Plane Waves Under Two-Temperature Theory in Generalized Thermoelasticity},
  howpublished = {EasyChair Preprint no. 6832},

  year = {EasyChair, 2021}}