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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
engineering
An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates
Composites Part B: Engineering, Volume 60, Year 2014
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Description
In this paper, an efficient and simple higher order shear and normal deformation theory is presented for functionally graded material (FGM) plates. By dividing the transverse displacement into bending, shear and thickness stretching parts, the number of unknowns and governing equations for the present theory is reduced, significantly facilitating engineering analysis. Indeed, the number of unknown functions involved in the present theory is only five, as opposed to six or even greater numbers in the case of other shear and normal deformation theories. The present 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 upper and lower surfaces of the plate without requiring any shear correction factor. Equations of motion are derived from Hamilton's principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The obtained results are compared with 3-dimensional and quasi-3-dimensional solutions and those predicted by other plate theories. It can be concluded that the present theory is not only accurate but also simple in predicting the bending and free vibration responses of functionally graded plates. © 2013 Elsevier Ltd. All rights reserved.
Authors & Co-Authors
Belabed, Zakaria
Algeria, Sidi Bel Abbes
Université Djillali Liabes de Sidi Bel Abbes
Houari, Mohammed Sid Ahmed
Algeria, Sidi Bel Abbes
Université Djillali Liabes de Sidi Bel Abbes
Tounsi, Abdelouahed
Algeria, Sidi Bel Abbes
Université Djillali Liabes de Sidi Bel Abbes
Refahy Mahmoud, Samy Refahy
Saudi Arabia, Jeddah
King Abdulaziz University
Egypt, Sohag
Sohag University
Bég, Osman Anwar
United Kingdom, Bradford
Gort Engovation Research Propulsion and Biomechanics
Statistics
Citations: 476
Authors: 5
Affiliations: 4
Identifiers
Doi:
10.1016/j.compositesb.2013.12.057
ISSN:
13598368