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IssuesArchive of Issues2025-7pp.6505-6525

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Areej Almuneef, Munirah Alotaibi, Shreen El-Sapa, Khaled Lotfy, and Alaa A. El-Bary, "Nonlocal Photo-Thermoelastic Response of a Moisture-Diffusive Plate under Ramp Heating," Mech. Solids. 60 (7), 6505-6525 (2025)
Year 2025 Volume 60 Number 7 Pages 6505-6525
DOI 10.1134/S0025654425605592
Title Nonlocal Photo-Thermoelastic Response of a Moisture-Diffusive Plate under Ramp Heating
Author(s) Areej Almuneef (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, aaalmoneef@pnu.edu.sa)
Munirah Alotaibi (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, maalotaiby@pnu.edu.sa)
Shreen El-Sapa (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, seelsapa@pnu.edu.sa)
Khaled Lotfy (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt; National Committee for Mathematics, Academy of Scientific Research and Technology, Cairo, Egypt, khlotfy_1@yahoo.com)
Alaa A. El-Bary (Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt; Council of Future Studies and Risk Management, Academy of Scientific Research and Technology, Cairo, Egypt, aaelbary@aast.edu)
Abstract This study presents a theoretical and analytical model for the dynamic behavior of a nonlocal photo-thermoelastic semiconductor plate incorporating moisture diffusion and subjected to ramptype heating. The formulation couples photoexcited carrier density, heat conduction, and moisture transport with Eringen’s nonlocal elasticity, enabling the analysis of size-dependent effects relevant to nanoscale devices. The governing equations are expressed in a dimensionless form and solved analytically using Laplace and Fourier transformations, yielding exact expressions for displacement, stress, temperature, carrier density, and moisture fields. The results show that ramp-type heating smooths transient responses and mitigates thermal shocks, while nonlocal elasticity markedly reduces stress magnitudes, delays wave propagation, and alters dispersion characteristics, leading to enhanced stability and energy dissipation at the nanoscale. The analysis further reveals that coupled photo-thermo-elastic–moisture interactions significantly influence wave attenuation and field oscillations, demonstrating the necessity of including nonlocal and diffusive effects for accurate predictions. These findings provide new insights into the design and optimization of micro- and nano-scale semiconductor devices, including photonic sensors, optoelectronic systems, and thermal management structures.
Keywords nonlocal elasticity, photo-thermoelasticity, moisture diffusion, semiconductor plate, wave propagation, nano-scale effects
Received 08 October 2025Revised 02 November 2025Accepted 04 November 2025
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