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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 247932, 13 pages
Research Article

Analysis of Functionally Graded Material Plates Using Triangular Elements with Cell-Based Smoothed Discrete Shear Gap Method

1School of Civil & Environmental Engineering, University of New South Wales, Sydney, Australia
2Faculdade de Engenharia da Universidade do Porto, Porto, Portugal
3Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
4Institute of Mechanics and Advanced Materials, Cardiff School of Engineering, Cardiff University, UK
5Department of Aeronautics and Aerospace Engineering, Politecnico di Torino, Italy
6Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt

Received 25 September 2013; Revised 2 January 2014; Accepted 16 January 2014; Published 8 April 2014

Academic Editor: Hung Nguyen-Xuan

Copyright © 2014 S. Natarajan 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.


A cell-based smoothed finite element method with discrete shear gap technique is employed to study the static bending, free vibration, and mechanical and thermal buckling behaviour of functionally graded material (FGM) plates. The plate kinematics is based on the first-order shear deformation theory and the shear locking is suppressed by the discrete shear gap method. The shear correction factors are evaluated by employing the energy equivalence principle. The material property is assumed to be temperature dependent and graded only in the thickness direction. The effective properties are computed by using the Mori-Tanaka homogenization method. The accuracy of the present formulation is validated against available solutions. A systematic parametric study is carried out to examine the influence of the gradient index, the plate aspect ratio, skewness of the plate, and the boundary conditions on the global response of the FGM plates. The effect of a centrally located circular cutout on the global response is also studied.