Nonlinear thermoelastic analysis of FGM thick plates

Malika Bouhlali , Abdelbaki Chikh , Mohammed Bouremana , Abdelhakim Kaci , Fouad Bourada , Khalil Belakhdar , Abdelouahed Tounsi

Abstract

In this paper, a new application of a four variable refined plate theory to analyze the nonlinear bending of functionally graded plates exposed to thermo-mechanical loadings, is presented. This recent theory is based on the assumption that the transverse displacements consist of bending and shear components in which the bending components do not contribute toward shear forces, and similarly, the shear components do not contribute toward bending moments. The derived transverse shear strains has a quadratic variation across the thickness that satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The material properties are assumed to vary continuously through the thickness of the plate according to a power-law distribution of the volume fraction of the constituents. The solutions are achieved by minimizing the total potential energy. The non-linear strain–displacement relations in the von Karman sense are used to derive the effect of geometric non-linearity. It is concluded that the proposed theory is accurate and simple in solving the nonlinear bending behavior of functionally graded plates.

Key Words

functional composites; plate; large deformation; energy method; thermo-mechanical loading

Address

Malika Bouhlali and Mohammed Bouremana — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Abdelbaki Chikh — 1.) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2.) Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algeria
Abdelhakim Kaci — 1.) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2.) Department of Civil Engineering and Hydraulics, University of Saida, Algeria
Fouad Bourada — 1.) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2.) Department of Science and Technology, University Centre of Tissemsilt, BP 38004 Ben Hamouda, Algeria
Khalil Belakhdar — 1.) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2.) Department of Science and Technology, University Centre of Tamanrasset, BP 10034 Sersouf, Tamanrasset, Algeria
Abdelouahed Tounsi — 1.) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2.) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia

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