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

Mohamed I. A. OthmanDepartment of Mathematics, Faculty of Science, Zagazig University, 44519, Zagazig, EgyptS. M. Abo‐DahabDepartment of Mathematics, Faculty of Science, South Valley University, 83523, Qena, EgyptA. M. Abd-AllaDepartment of Mathematics, Faculty of Science, Sohag University, EgyptM. Daher AlbalwiYanbu Industrial College, The Royal Commission for Jubail and, 30436, Yanbu, Saudi ArabiaAzhari A. ElhagDepartment of Mathematics and Statistics, College of Science, Taif University, 21944, Taif, Saudi ArabiaМерсаид АриповDepartment Applied Mathematics and Computer Analysis, Faculty of Mathematics, National University of Uzbekistan named after Mirzo Ulugbek, 100174, Tashkent, Uzbekistan
Mechanics of Solidsjournal2024en
ABI

Аннотация

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.

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