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Bending and free vibration analyses of functionally graded material nanoplates via a novel nonlocal single variable shear deformation plate theory

Hoa, L.K. and Vinh, P.V. and Duc, N.D. and Trung, N.T. and Son, L.T. and Thom, D.V. (2020) Bending and free vibration analyses of functionally graded material nanoplates via a novel nonlocal single variable shear deformation plate theory. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. ISSN 9544062 (In Press)

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Abstract

A novel nonlocal shear deformation theory is established to investigate functionally graded nanoplates. The significant benefit of this theory is that it consists of only one unknown variable in its displacement formula and governing differential equation, but it can take into account both the quadratic distribution of the shear strains and stresses through the plate thickness as well as the small-scale effects on nanostructures. The numerical solutions of simply supported rectangular functionally graded material nanoplates are carried out by applying the Navier procedure. To indicate the accuracy and convergence of this theory, the present solutions have been compared with other published results. Furthermore, a deep parameter study is also carried out to exhibit the influence of some parameters on the response of the functionally graded material nanoplates. © IMechE 2020.

Item Type: Article
Divisions: Institutes > Institute of Techniques for Special Engineering
Faculties > Faculty of Mechanical Engineering
Identification Number: 10.1177/0954406220964522
Uncontrolled Keywords: Beams and girders; Differential equations; Elasticity; Functionally graded materials; Nanostructures; Shear deformation; Shear flow; Structural design; Free-vibration analysis; Functionally graded; Governing differential equations; Numerical solution; Parameter studies; Shear deformation plate theories; Shear deformation theory; Small scale effects; Vibration analysis
Additional Information: Language of original document: English.
URI: http://eprints.lqdtu.edu.vn/id/eprint/9125

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