 | | 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: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
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| In English (Mech. Solids): | | 5430 |
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| D.E. Lafi, A. Tamrabet, A. Bouhadra, A. Menasria, and S. Refrafi, "Temperature-Dependent Elastic Instability of Porous FG Nanobeams Using a Novel Shape Function and Iterative Computational Procedure based on Nonlocal Eringen Theory," Mech. Solids. 60 (8), 7014-7032 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
7014-7032 |
| DOI |
10.1134/S0025654425604379 |
| Title |
Temperature-Dependent Elastic Instability of Porous FG Nanobeams Using a Novel Shape Function and Iterative Computational Procedure based on Nonlocal Eringen Theory |
| Author(s) |
D.E. Lafi (Department of Civil Engineering, Faculty of Technology, University of Ferhat Abbas, Setif 1, Algeria)
A. Tamrabet (Department of Civil Engineering, Faculty of Technology, University of Ferhat Abbas, Setif 1, Algeria)
A. Bouhadra (Department of Civil Engineering, Faculty of Sciences and Technology, University of Khenchela, Algeria;Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Sidi Bel Abbes, Algeria, bouhadrahako@gmail.com)
A. Menasria (Department of Civil Engineering, Faculty of Sciences and Technology, University of Khenchela, Algeria;Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Sidi Bel Abbes, Algeria, Abderrahmane.menasria.24@gmail.com)
S. Refrafi (Department of Civil Engineering, Faculty of Sciences and Technology, University of Khenchela, Algeria) |
| Abstract |
Higher-order theories enhance structural analysis by explicitly accounting for transverse
shear effects via a parabolic stress distribution through the beams thickness direction. Various shape
functions have been proposed to support this approach. In this study, the temperature-dependent
influence on the stability behavior of nanobeams is examined by introducing a novel shape function
into the displacement field and integrating it with the nonlocal Eringen’s theory to derive the governing stability equations. By applying a refined Navier solution method and the iterative computational
procedure, we obtain the critical buckling temperatures for two boundary conditions. The accuracy of
the model is confirmed through comparison with existing literature, demonstrating excellent agreement. Furthermore, a comprehensive 3D parametric analysis explores the influence of key parameters
on the thermal buckling response of nanobeams with temperature-dependent effect. |
| Keywords |
Higher-order theories, Novel shape function, temperature-dependent, iterative computational procedure, Nonlocal Eringen theory |
| Received |
13 August 2025 | Revised |
30 November 2025 | Accepted |
01 December 2025 |
| Link to Fulltext |
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