 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12788 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8028
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| In English (Mech. Solids): | | 4760 |
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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 2023 | Revised |
31 December 2023 | Accepted |
06 January 2024 |
| Link to Fulltext |
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