A nonlocal sinusoidal plate model for micro/nanoscale plates

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science - Tập 228 Số 14 - Trang 2652-2660 - 2014
Huu‐Tai Thai1, Thuc P. Vo2, Trung-Kien Nguyen3, Jaehong Lee4
1Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW, Australia
2Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne, UK
3Faculty of Civil Engineering and Applied Mechanics, University of Technical Education Ho Chi Minh City, Ho Chi Minh City, Vietnam
4Department of Architectural Engineering, Sejong University, Kunja Dong, Kwangjin Ku, Seoul, Korea

Tóm tắt

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.

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Thông tin xuất bản

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Tập 228 Số 14

2652-2660

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