Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-2pp.885-898

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Ebtesam E.M. Eraki, Ethar A.A. Ahmed, and Mohamed I.A. Othman, "Generalized Magneto-Thermoelastic Medium under the Effect of Non-Locality Parameter and Internal Heat Source via Three-Phase-Lag Model," Mech. Solids. 59 (2), 885-898 (2024)
Year 2024 Volume 59 Number 2 Pages 885-898
DOI 10.1134/S0025654423602665
Title Generalized Magneto-Thermoelastic Medium under the Effect of Non-Locality Parameter and Internal Heat Source via Three-Phase-Lag Model
Author(s) Ebtesam E.M. Eraki (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, ebtesam.eraki@yahoo.com)
Ethar A.A. Ahmed (School of Engineering and Applied Sciences, Nile University, Giza, 12588 Egypt, ethar_ahmed54@yahoo.com)
Mohamed I.A. Othman (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, m_i_a_othman@yahoo.com)
Abstract In the context of the three-phase hysteresis model (3PHL), a system of equations is established for a generalized thermoelastic medium under the influence of a magnetic field and an internal heat source. The problem is discussed using Eringen’s nonlocal elastic model. The exact expression of the physical quantity is obtained by normal mode analysis and illustrated graphically by comparison and discussion. All calculation results obtained are graphically presented and explained. This paper investigates a specific type of material called a generalized magneto-thermoelastic medium. This material is subjected to the presence of a non-locality parameter and an internal heat source using the three-phase-lag model.
Keywords nonlocal, three-phase-lag model, normal mode analysis, magnetic field, internal heat source
Received 15 December 2023Revised 19 February 2024Accepted 20 February 2024
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