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IssuesArchive of Issues2025-1pp.573-593

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S. Kumari, S. Sharma, and G. Guragain, "Plane Wave Reflection in Magneto Fractional Thermoelasticity with Diffusion, Rotation and Two Temperature in Solid Half-Space," Mech. Solids. 60 (1), 573-593 (2025)
Year 2025 Volume 60 Number 1 Pages 573-593
DOI 10.1134/S002565442460541X
Title Plane Wave Reflection in Magneto Fractional Thermoelasticity with Diffusion, Rotation and Two Temperature in Solid Half-Space
Author(s) S. Kumari (Chandigarh University, Gharuan, Mohali, Punjab, 140413 India, Sangwan.sangeeta.ss@gmail.com)
S. Sharma (Chandigarh University, Gharuan, Mohali, Punjab, 140413 India, surbhibhardwaj92@gmail.com)
G. Guragain (Chandigarh University, Gharuan, Mohali, Punjab, 140413 India, gauravguragain60@gmail.com)
Abstract The main aim of this research article is to calculate the plane wave reflection in magneto fractional thermoelastic solid half-space with rotation, two temperature and diffusion using the Lord–Shulman theory of thermoelasticity. We have considered the xz plane for the governing equation and solved these to calculate the equation in terms of velocity resulting the existence of four coupled plane waves, known as P1, P2, P3, and P4. It has been found that these waves has an impact of two temperature, diffusion, rotation, and fractional order parameter. Using appropriate boundary conditions, the reflection coefficient are formulated and presented for the particular model. The impact of diffusion, two temperature, fractional order and rotation parameter on the attenuation coefficient, phase velocity, reflection coefficient and specific loss w.r.t. frequency and angle of incidence are shown graphically.
Keywords Diffusion, Generalized thermoelasticity, Plane wave, Reflection coefficients, Two temperature
Received 17 September 2024Revised 21 January 2025Accepted 21 January 2025
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