Dual-Phase-Lag Model on Reflection of Thermoelastic Waves from a Rotating Solid Half-Space with Gravity

Abstract

This study examines the planar harmonic waves reflection from a rotating semi-infinite elastic material with a gravity using the generalized thermoelasticity theory. The ratios of reflected wave amplitudes to incident wave amplitudes are called reflection coefficients, and they are computed. The impact of rotation and gravity on the reflection coefficients is graphically represented and the numerical solution is executed. The predictions of the Lord–Shulman and dual-phase-lag models are compared in the absence and presence of rotation and gravity. The rotational and gravitational field impacts explain the coefficients of waves reflection on the free surface of the half space. A comparison between the present results and the previous investigation indicate to the strong effect of the external parameters on the phenomenon and agree with the practical results.