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IssuesArchive of Issues2025-6pp.4616-4635

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M.M. Rashid, A.M. Abd-Alla, S.M. Abo-Dahab, K.K. Alarfaj, and S.H. Elhag, "Photo-Magneto-Thermoealastic Interactions in a Micropolar Generalized Thermoelasticity in the Framework of Photothermal Theory with of Initial Stress," Mech. Solids. 60 (6), 4616-4635 (2025)
Year 2025 Volume 60 Number 6 Pages 4616-4635
DOI 10.1134/S0025654425601387
Title Photo-Magneto-Thermoealastic Interactions in a Micropolar Generalized Thermoelasticity in the Framework of Photothermal Theory with of Initial Stress
Author(s) M.M. Rashid (Mathematics Department, Faculty of Science, Al-Arish University, Al-Arish, Egypt, mohammed_rashid2013@yahoo.com)
A.M. Abd-Alla (Mathematics Department, Faculty of Science, Sohag University, Egypt, mohmrr@yahoo.com)
S.M. Abo-Dahab (Mathematics Department, Faculty of Science, South Valley University, 83523 Egypt, sdahb@yahoo.com)
K.K. Alarfaj (Department of Mathematics and Statistics, College of Science, KingFaisal University, Al-Ahsa, P.O. Box 400, Saudi Arabia, Kkarfaj@kfu.edu.sa)
S.H. Elhag (Department of Mathematics and Statistics, College of Science, Taif University, Taif, 21944 Saudi Arabia, h.sfaa@tu.edu.sa)
Abstract In the present work, we have studied the thermodynamical interactions in a two-dimensional thermoelastic medium with initial stress and magnetic field. The purpose of the current study is to establish a novel mathematical model in the micropolar theory of generalized thermoelasticity under the framework of photothermal theory. For the solution of the required problem, by employing the Lame’s potential and normal mode technique, we derived analytical expressions for field quantities such as thermal stresses, displacement components, temperature field, carrier density and couple stress. For graphical representation of different physical quantities such as displacement components, stress and couple stress components and carrier density as well as the temperature distribution, Matlab software has been used. The theoretical and numerical computations are found to be in close form. The comparison of our results for the accuracy of physical quantities with previous research work is carried out graphically that indicates to the strong impact of the external parameters in photothermaol phenomenon
Keywords Elasticity, initial stress, micropolar elasticity, photothermal effect, magnetic field, memory dependent derivative
Received 25 March 2025Revised 02 June 2025Accepted 11 June 2025
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