Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
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IssuesArchive of Issues2024-6pp.3481-3494

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Total articles in the database: 13025
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R.A. Mohamed, A.M. Abd-Allah, S.M. Abo-Dahab, H.A. Abd-Elahmeid, and S.H. Elhag, "Ramp Type Heating in a Semiconductor Medium under Initial Stress and Photothermal Theory," Mech. Solids. 59 (6), 3481-3494 (2024)
Year 2024 Volume 59 Number 6 Pages 3481-3494
DOI 10.1134/S0025654424604658
Title Ramp Type Heating in a Semiconductor Medium under Initial Stress and Photothermal Theory
Author(s) R.A. Mohamed (Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt, rabdalla_1953@yahoo.com)
A.M. Abd-Allah (Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, mohmrr@yahoo.com)
S.M. Abo-Dahab (Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt, sdahb@yahoo.com)
H.A. Abd-Elahmeid (Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt, hagar16714@gmail.com)
S.H. Elhag (Department of Mathematics and Statistics, College of Science, Taif University, Taif, 21944 Saudi Arabia, h.sfaa@tu.edu.sa)
Abstract This study investigates deformations within a homogeneous semiconductor thermoelastic medium subjected to initial stress and ramp type heating employing the theoretical photothermal model. Utilizing the normal mode method, precise expressions for key distributions, such as temperature, carrier density, stresses and displacement components, are derived. Numerical computations are facilitated through Mathematica programming, focusing on a material exhibiting properties analogous to a silicon. Integrating Photothermal model, initial stress, wave number and time, the research visually portrays the impact of these factors on the considered state variables through graphical representations. The numerical and graphical results underscore the significant influence of wave number, time, and initial stress on the various field quantities. This investigation provides valuable insights into the synergistic dynamics among an initial stress constituent, semiconductor structures, and wave propagation, enabling advancements in nuclear reactors’ construction, operation, electrical circuits, and solar cells.
Keywords Photothermal, ramp type heating, initial stress, semiconductor, thermoelasticity
Received 16 July 2024Revised 13 October 2024Accepted 20 October 2024
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