 | | 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: | | 13554 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8194
|
| In English (Mech. Solids): | | 5360 |
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| << Previous article | Volume 60, Issue 7 / 2025 | Next article >> |
| M. Hamhami, N. Elmeiche, I. Mechab, and B. Mechab, "Analytical and Numerical Approach on Coupled Non-Local and Poisson Effects on the Buckling of Engesser Higher-Order FGM Beams," Mech. Solids. 60 (7), 6014-6030 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
7 |
Pages |
6014-6030 |
| DOI |
10.1134/S0025654425603374 |
| Title |
Analytical and Numerical Approach on Coupled Non-Local and Poisson Effects on the Buckling of Engesser Higher-Order FGM Beams |
| Author(s) |
M. Hamhami (Laboratory of Civil Engineering and Environment, Djillali Liabes University, Sidi Bel Abbes, 22000 Algeria, hamhamimouloud@gmail.com/mouloud.hamhami@univ-sba.dz)
N. Elmeiche (Laboratory of Civil Engineering and Environment, Djillali Liabes University, Sidi Bel Abbes, 22000 Algeria, elmeiche.noury@gmail.com)
I. Mechab (Laboratory of Mechanics and Physics of Materials (LMPM), Djillali Liabes University, Sidi Bel Abbes, 22000 Algeria, ismail.mechab@gmail.com)
B. Mechab (Laboratory of Mechanics and Physics of Materials (LMPM), Djillali Liabes University, Sidi Bel Abbes, 22000 Algeria, bmechab@yahoo.fr) |
| Abstract |
This study investigates the buckling behaviour of functionally graded material (FGM)
beams through an analytical–numerical framework that incorporates both Poisson’s effect and nonlocal elasticity theory. An original warping shape function and a refined higher-order transverse shear
deformation field are introduced to improve the accuracy of the displacement model. The equilibrium
equations are derived using the principle of minimum potential energy, and the Ritz method is
employed to solve them numerically. The study first considers a simply supported FGM beam composed of metal and ceramic constituents, allowing comparison of the dimensionless critical buckling
loads predicted by various higher-order deformation theories. A second application focuses on a sandwich beam with a ceramic core, where both non-local and Poisson’s effects are simultaneously considered. The analysis explores a range of beam slenderness ratios and volume fraction indices.
The results demonstrate that Poisson’s effect significantly influences the critical buckling load, while
the non-local effect exhibits strong dependence on the beam’s slenderness. Specifically, the non-local
influence intensifies in shorter beams due to the enhanced role of shear deformations. These findings
underline the necessity of including both Poisson’s and non-local effects for accurate modeling of FGM beam stability. |
| Keywords |
Engesser’s Buckling, FGM, nano-beams, Rayleigh-Ritz method, Poisson’s effect |
| Received |
23 June 2025 | Revised |
23 September 2025 | Accepted |
22 October 2025 |
| Link to Fulltext |
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