 | | 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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| H. Benachi, A. Menasria, A. Bouhadra, S. Refrafi, M. Baazouzi, M. Chitour, and N. Himeur, "Instability Behavior of FG Nanoplates Resting on Nonlinear Kerr Foundations under Hygro-Thermo-Mechanical Load Using Nonlocal Elasticity Theory," Mech. Solids. 60 (8), 7085-7109 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
7085-7109 |
| DOI |
10.1134/S0025654425605002 |
| Title |
Instability Behavior of FG Nanoplates Resting on Nonlinear Kerr Foundations under Hygro-Thermo-Mechanical Load Using Nonlocal Elasticity Theory |
| Author(s) |
H. Benachi (University of Khenchela, Faculty of Sciences and Technology, Civil Engineering Department, Khenchela, 40000 Algeria; Laboratory of Engineering and Sciences of Advanced Materials, Khenchela, 40000 Algeria)
A. Menasria (University of Khenchela, Faculty of Sciences and Technology, Civil Engineering Department, Khenchela, 40000 Algeria; Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Sidi Bel Abbes, 22000 Algeria, Abderrahmane.menasria.24@gmail.com)
A. Bouhadra (University of Khenchela, Faculty of Sciences and Technology, Civil Engineering Department, Khenchela, 40000 Algeria)
S. Refrafi (University of Khenchela, Faculty of Sciences and Technology, Civil Engineering Department, Khenchela, 40000 Algeria)
M. Baazouzi (University of Khenchela, Faculty of Sciences and Technology, Civil Engineering Department, Khenchela, 40000 Algeria;Laboratory of Research in Civil Engineering LRGC, University of Biskra, Biskra, Algeria)
M. Chitour (University of Khenchela, Faculty of Sciences and Technology, Mechanical Engineering Department, Khenchela, 40000 Algeria)
N. Himeur (University of Khenchela, Faculty of Sciences and Technology, Mechanical Engineering Department, Khenchela, 40000 Algeria; Laboratory of Engineering and Sciences of Advanced Materials, Khenchela, 40000 Algeria) |
| Abstract |
This study examines the buckling response of functionally graded material (FGM) nanoplates resting on nonlinear Kerr elastic foundations under coupled hygrothermal-mechanical loading
and diverse boundary conditions. A novel computational framework is developed by integrating a simplified quasi-3D higher-order shear deformation theory (HSDT) with only five displacement variables
and Eringen’s nonlocal elasticity theory, enabling the precise modelling of nanoscale effects through
integral constitutive relations. The FGM nanoplate exhibits a continuous material gradation across its
thickness and is subjected to nonlinear hygrothermal gradients, mechanical stresses, and foundation
interactions. The governing equations are derived using the principle of virtual displacements and
solved for various edge constraints, including simply supported and clamped configurations. The
developed model has been verified through comparison with established benchmark results for buckling in FG nanostructures, revealing close correspondence where deviations are generally under 0.1%,
thus confirming the proper execution of the nonlocal plate theory. Parametric analyses revealed the
critical influences of the material gradation index, nonlocal parameter, Kerr foundation stiffness, and
hygrothermal environmental conditions on stability thresholds. The results highlight the destabilising
effects of increasing hygrothermal gradients and the stabilising role of shear-layer stiffness in the Kerr
foundation. This study provides a computationally efficient tool for designing advanced FGM-based
nanoelectromechanical systems (NEMS) operating in multifield environments, bridging the gaps
between classical plate theories and full 3D nanomechanics. |
| Keywords |
Eringen, Instability, nanoplates, virtual work principle, Hygro-thermo-mechanical, Kerr foundations |
| Received |
12 September 2025 | Revised |
08 December 2025 | Accepted |
12 December 2025 |
| Link to Fulltext |
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