Thai, Huu-Tai, Vo, Thuc, Nguyen, Trung-Kien and Lee, Jaehong (2014) A nonlocal sinusoidal plate model for micro/nanoscale plates. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 228 (14). pp. 2652-2660. ISSN 0954-4062
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Abstract
A nonlocal sinusoidal plate model for micro/nanoscale plates is developed based on Eringen’s nonlocal elasticity theory and sinusoidal shear deformation plate theory. The small scale effect is considered in the former theory while the transverse shear deformation effect is included in the latter theory. The proposed model accounts for sinusoidal variations of transverse shear strains through the thickness of the plate, and satisfies the stress-free boundary conditions on the plate surfaces, thus a shear correction factor is not required. Equations of motion and boundary conditions are derived from Hamilton’s principle. Analytical solutions for bending, buckling, and vibration of simply supported plates are presented, and the obtained results are compared with the existing solutions. The effects of small scale and shear deformation on the responses of the micro/nanoscale plates are investigated.
| Item Type: | Article |
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| Subjects: | H200 Civil Engineering H300 Mechanical Engineering |
| Department: | Faculties > Engineering and Environment > Mechanical and Construction Engineering |
| Depositing User: | Thuc Vo |
| Date Deposited: | 19 Mar 2014 08:41 |
| Last Modified: | 17 Dec 2023 15:00 |
| URI: | https://nrl.northumbria.ac.uk/id/eprint/15851 |
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