A quasi-3D hyperbolic shear deformation theory for functionally graded plates

Thai, Huu-Tai, Vo, Thuc, Bui, Tinh and Nguyen, Trung-Kien (2014) A quasi-3D hyperbolic shear deformation theory for functionally graded plates. Acta Mechanica, 225 (3). pp. 951-964. ISSN 0001-5970

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Official URL: http://dx.doi.org/10.1007/s00707-013-0994-z

Abstract

A quasi-3D hyperbolic shear deformation theory for functionally graded plates is developed. The theory accounts for both shear deformation and thickness-stretching effects by a hyperbolic variation of all displacements across the thickness, and satisfies the stress-free boundary conditions on the top and bottom surfaces of the plate without requiring any shear correction factor. The benefit of the present theory is that it contains a smaller number of unknowns and governing equations than the existing quasi-3D theories, but its solutions compare well with 3D and quasi-3D solutions. Equations of motion are derived from the Hamilton principle. Analytical solutions for bending and free vibration problems are obtained for simply supported plates. Numerical examples are presented to verify the accuracy of the present theory.

Item Type: Article
Additional Information: This is the accepted author manuscript, the final publication is available at http://link.springer.com.
Subjects: H200 Civil Engineering
H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Thuc Vo
Date Deposited: 17 Oct 2013 11:19
Last Modified: 08 May 2017 13:41
URI: http://nrl.northumbria.ac.uk/id/eprint/14017

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