A nonlocal sinusoidal plate model for micro/nanoscale plates

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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Official URL: http://dx.doi.org/10.1177/0954406214521391

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
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: 09 May 2017 07:03
URI: http://nrl.northumbria.ac.uk/id/eprint/15851

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