A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded PlatesReport as inadecuate

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Modelling and Simulation in EngineeringVolume 2012 2012, Article ID 159806, 10 pages

Research Article

Departement of Civil Engineering, Ibn Khaldoun University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria

Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M’hidi, 22000 Sidi Bel Abbes, Algeria

Received 16 May 2012; Accepted 3 August 2012

Academic Editor: Guowei Wei

Copyright © 2012 Tahar Hassaine Daouadji et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Theoretical formulation, Navier’s solutions of rectangular plates based on a new higher order shear deformation model are presented for the static response of functionally graded plates. This theory enforces traction-free boundary conditions at plate surfaces. Shear correction factors are not required because a correct representation of transverse shearing strain is given. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The mechanical properties of the plate are assumed to vary continuously in the thickness direction by a simple power-law distribution in terms of the volume fractions of the constituents. Numerical illustrations concern flexural behavior of FG plates with metal-ceramic composition. Parametric studies are performed for varying ceramic volume fraction, volume fractions profiles, aspect ratios, and length to thickness ratios. Results are verified with available results in the literature. It can be concluded that the proposed theory is accurate and simple in solving the static bending behavior of functionally graded plates.

Author: Tahar Hassaine Daouadji, Abdelaziz Hadj Henni, Abdelouahed Tounsi, and Adda Bedia El Abbes

Source: https://www.hindawi.com/


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