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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-7pp.5689-5706

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S.M. Abo-Dahab, H.A. Abd-Elahmeid, A.M. Abd-Alla, R.A. Mohamed, and F.S. Bayones, "Electro-Magneto-Photo-Thermoelastic Interactions in a Micropolar Generalized Thermoelasticity Theory," Mech. Solids. 60 (7), 5689-5706 (2025)
Year 2025 Volume 60 Number 7 Pages 5689-5706
DOI 10.1134/S0025654425603131
Title Electro-Magneto-Photo-Thermoelastic Interactions in a Micropolar Generalized Thermoelasticity Theory
Author(s) 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)
A.M. Abd-Alla (Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, mohmrr@gmail.com)
R.A. Mohamed (Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt, rabdalla_1953@yahoo.com)
F.S. Bayones (Department of Mathematics, College of Science, Taif University, Taif, 21944 Saudi Arabia, f.bayones@tu.edu.sa)
Abstract The thermodynamical interaction in a two-dimensional micropolar generalized thermoelastic medium with an electromagnetic field have been examined in this work. The main purpose of the current paper is to establish a mathematical novel model in the micropolar theory of generalized thermoelasticity under the framework of photothermal theory. For the required problem solution, we obtained analytical equations for quantities, such as displacement components, temperature field, thermal stresses, carrier density, and couple stress by using the normal mode technique after applying Lame’s potential. MATHEMATICA software has been considered to make graphically display several physical parameters, displacement components, stresses and coupling stress components, including carrier density, and temperature distribution. The comparison of our results for the accuracy of physical quantities with previous research work is carried out graphically. A comparison is made by the previous works neglecting the new external parameters that indicated to the new external parameters strong impact for on the phenomenon of generalized thermoelasticity with electro-magneto-photo-thermelasticity.
Keywords electromagnetic, photo-thermoelastic, micropolar, Green-Naghdi, generalized thermoelasticity
Received 14 June 2025Revised 15 July 2025Accepted 18 July 2025
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