Plane wave reflection in rotating nonlocal thermoelastic media with dual-fractional two-temperature effects
Amal Al-Hanaya,Wedad Albalawi,Shreen El-Sapa,Khaled Lotfy,Alaa A. El-Bary
Abstract
In this paper, a new generalized model of dual-fractional two-temperature nonlocal thermoelasticity is developed to investigate the reflection and dispersion of plane waves in a rotating medium under initial stress. The governing equations of motion, constitutive relations, and heat conduction are reformulated using the Atangana-Baleanu fractional derivatives of two distinct orders, representing two independent memory-dependent heat transport mechanisms associated with the thermodynamic and conductive temperature fields. This framework extends the classical and nonlocal thermoelastic theories by incorporating simultaneous nonlocal spatial interactions and dual fractional temporal relaxation. The combined effects of nonlocality, rotation, initial stress, and fractional orders on the phase velocity, attenuation coefficient, specific loss, and reflection coefficients of longitudinal (P), shear vertical (SV), and thermal (T) waves are analyzed. The results reveal that decreasing fractional orders intensifies thermal memory, enhances attenuation, and shifts reflection peaks, leading to pronounced dispersion and energy redistribution across the boundary. Numerical simulations using aluminum-like material parameters demonstrate strong sensitivity of wave characteristics to fractional parameters and nonlocal coupling, offering new insights into microstructured, rotating, and thermally diffusive materials such as semiconductors and functionally graded solids.
Amal Al-Hanaya, Wedad Albalawi, Shreen El-Sapa — Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia
Khaled Lotfy — 1) Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt; 2) National Committee for Mathematics, Academy of Scientific Research and Technology, Egypt
Alaa A. El-Bary — 1) National Committee for Mathematics, Academy of Scientific Research and Technology, Egypt; 2) Arab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, Egypt; 3) Council of Future Studies and Risk Management, Academy of Scientific Research and Technology, Egypt
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