Abstract
The present paper is concerned with the propagation of plane waves in an isotropic two-temperature generalized thermoelastic solid half-space in context of Green and Naghdi theory of type II (without energy dissipation). The governing equations in x – z plane are solved to show the existence of three coupled plane waves. The reflection of plane waves from a thermally insulated free surface is considered to obtain the relations between the reflection coefficients. A particular example of the half-space is chosen for numerical computations of the speeds and reflection coefficients of plane waves. Effects of two-temperature and rotation parameters on the speeds and the reflection coefficients of plane waves are shown graphically.
Highlights
Lord and Shulman [1] and Green and Lindsay [2] extended the classical dynamical coupled theory of thermoelasticity to generalized thermoelasticity theories
The speed of P1 wave decreases with an increase in two-temperature parameter, whereas the speeds of P2 and P3 wave are affected less due to the change in two-temperature parameter
Two-dimensional solution of the governing equations of an isotropic two-temperature thermoelastic medium without energy dissipation indicates the existence of three plane waves, namely, P1, P2 and P3 waves
Summary
Lord and Shulman [1] and Green and Lindsay [2] extended the classical dynamical coupled theory of thermoelasticity to generalized thermoelasticity theories These theories treat heat propagation as a wave phenomenon rather than a diffusion phenomenon and predict a finite speed of heat propagation. Youssef [26] presented a theory of two-temperature thermoelasticity without energy dissipation. We have applied Youssef [26] theory to study the wave propagation in an isotropic twotemperature thermoelastic solid. The required boundary conditions at thermally insulated stress free surface are satisfied by the appropriate solutions in an isotropic thermoelastic solid half-space and we obtain three relations between the reflection coefficients for an incident plane wave. The speeds and reflection coefficients of plane waves are computed numerically for a particular model of the half-space to capture the effect of the two-temperature and rotation parameters
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
