 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5249 |
|
| << Previous article | Volume 60, Issue 6 / 2025 | Next article >> |
| Van-Hieu Dang, Thi-Hoa Nguyen, Gia-Phi Bui, Thi-Kim-Thoa Nguyen, and Thi-Thanh-Huong Dong, "Static Bending, Buckling and Free Vibration of FG-CNTRC Microbeams Resting on Elastic Foundation Using Higher-Order Shear Deformation Beam Theories," Mech. Solids. 60 (6), 5206-5257 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
5206-5257 |
| DOI |
10.1134/S0025654425603969 |
| Title |
Static Bending, Buckling and Free Vibration of FG-CNTRC Microbeams Resting on Elastic Foundation Using Higher-Order Shear Deformation Beam Theories |
| Author(s) |
Van-Hieu Dang (Faculty of Mechanical Engineering and Mechatronics, Phenikaa School of Engineering, Phenikaa University, Hanoi, Vietnam, hieu.dangvan@phenikaa-uni.edu.vn)
Thi-Hoa Nguyen (Department of Applied Mechanics, Faculty of Vehicle and Energy Engineering, Thai Nguyen University of Technology, Tich Luong, Thainguyen, Vietnam)
Gia-Phi Bui (Faculty of Technical Fundamental, University of Transport Technology, Hanoi, Vietnam)
Thi-Kim-Thoa Nguyen (Department of Applied Mechanics, Faculty of Vehicle and Energy Engineering, Thai Nguyen University of Technology, Tich Luong, Thainguyen, Vietnam)
Thi-Thanh-Huong Dong (Faculty of Technical Fundamental, University of Transport Technology, Hanoi, Vietnam) |
| Abstract |
This study investigates the static bending, buckling, and free vibration behaviors of functionally graded carbon nanotube–reinforced composite (FG-CNTRC) microbeams supported on an
elastic foundation. The proposed model is formulated by coupling higher-order shear deformation
beam theories (HoSDBTs) with the modified couple stress theory (MCST). Four distinct CNT distribution patterns within the polymer matrix are considered. Using Hamilton’s principle, governing
equations and boundary conditions for simply-supported microbeams are derived and solved analytically. A comprehensive parametric study explores the effects of the material length scale parameter,
CNT volume fraction, aspect ratio, foundation stiffness (Winkler and Pasternak models), and CNT gradation on bending stiffness, buckling loads, and natural frequencies. Results reveal that all parameters notably influence the mechanical response, with size-dependent effects and elastic foundation
interactions playing key roles. The proposed MCST-enhanced HoSDBT model effectively captures
size-dependent behaviors, making it suitable for the design and optimization of FG–CNTRC
microdevices. |
| Keywords |
microbeams, modified couple stress theory, shear deformation beam, functionally graded, carbon nanotubes |
| Received |
23 July 2025 | Revised |
18 September 2025 | Accepted |
21 September 2025 |
| Link to Fulltext |
|
| << Previous article | Volume 60, Issue 6 / 2025 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English