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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-1pp.253-267

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Mohamed I.A. Othman and Haitham M. Atef, "Modeling of The Multi-Temperatures Theory in Generalized Poro-Thermoelastic Medium under the Effect of Initial Stress," Mech. Solids. 59 (1), 253-267 (2024)
Year 2024 Volume 59 Number 1 Pages 253-267
DOI 10.1134/S0025654423601854
Title Modeling of The Multi-Temperatures Theory in Generalized Poro-Thermoelastic Medium under the Effect of Initial Stress
Author(s) Mohamed I.A. Othman (Faculty of Science, Department of Mathematics, Zagazig, 44519 Egypt, m_i_a_othman@yahoo.com)
Haitham M. Atef (Faculty of Science, Department of Mathematics, Damanhur University, Damanhur, Egypt, hitham_ali@sci.dmu.edu.eg)
Abstract In this study we apply multi-temperatures theory to the two-dimensional deformation of a homogeneous, isotropic, thermoelastic half-space with voids under the influence of initial stress. The problem was developed within the context of Lord-Shulman theory. The methodology used here is normal mode analysis to solve the problem and get exact expressions for displacements, stresses, strain, conductive temperature, thermodynamic temperature, and change in volume fraction field. These quantities constructed in the physical domain are displayed graphically. The numerical results of these quantities for magnesium crystal-like material are shown to represent the influence of multitemperatures and initial stress.
Keywords thermoelasticity, voids, initial stress, multi-temperatures theory, normal mode analysis
Received 01 October 2023Revised 31 December 2023Accepted 06 January 2024
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