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Structural Engineering and Mechanics Volume 57, Number 1, January10 2016 , pages 127-140 DOI: https://doi.org/10.12989/sem.2016.57.1.127 |
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Static and dynamic behavior of FGM plate using a new first shear deformation plate theory |
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Lazreg Hadji, M. Ait Amar Meziane, Z. Abdelhak, T. Hassaine Daouadji and E.A Adda Bedia
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| Abstract | ||
| In this paper, a new first shear deformation plate theory based on neutral surface position is developed for the static and the free vibration analysis of functionally graded plates (FGPs). Moreover, the number of unknowns of this theory is the least one comparing with the traditional first-order and the other higher order shear deformation theories. The neutral surface position for a functionally graded plate which its material properties vary in the thickness direction is determined. 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. Based on the present shear deformation plate theory and the neutral surface concept, the governing equations are derived from the principle of Hamilton. There is no stretchingbending coupling effect in the neutral surface based formulation. Numerical illustrations concern flexural and dynamic behavior of FG plates with Metal-Ceramic composition. Parametric studies are performed for varying ceramic volume fraction, length to thickness ratios. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions. | ||
| Key Words | ||
| functionally graded material; first shear deformation theory; neutral surface position; volume fraction | ||
| Address | ||
| Lazreg Hadji, M. Ait Amar Meziane: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Universite Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algerie Z. Abdelhak: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Centre Universitaire Ahmed Zabana, 48000 Relizane, Algerie T. Hassaine Daouadji: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Universite Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algerie E.A Adda Bedia: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria | ||