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Smart Structures and Systems Volume 19, Number 4, April 2017 , pages 441-448 DOI: https://doi.org/10.12989/sss.2017.19.4.441 |
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Analysis of functionally graded plates using a sinusoidal shear deformation theory |
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Lazreg Hadji
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| Abstract | ||
| This paper uses the four-variable refined plate theory for the free vibration analysis of functionally graded material (FGM) rectangular plates. The plate properties are assumed to be varied through the thickness following a simple power law distribution in terms of volume fraction of material constituents. The theory presented is variationally consistent, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Equations of motion are derived from the Hamilton | ||
| Key Words | ||
| Navier´s solutions; functionally graded material (FGM); free vibration; theoretical formulation | ||
| Address | ||
| Departement de Genie Civil, Universite Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algerie Laboratoire des Materiaux & Hydrologie, Universite de Sidi Bel Abbes, 22000 Sidi Bel Abbes, Algerie | ||