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Structural Engineering and Mechanics Volume 55, Number 4, August25 2015 , pages 703-717 DOI: https://doi.org/10.12989/sem.2015.55.4.703 |
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Analyse of the behavior of functionally graded beams based on neutral surface position |
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Lazreg Hadji and El Abbes Adda Bedia
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| Abstract | ||
| In this paper, a simple n-order refined theory based on neutral surface position is developed for bending and frees vibration analyses of functionally graded beams. The present theory is variationally consistent, uses the n-order polynomial term to represent the displacement field, 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. The governing equations are derived by employing the Hamilton\'s principle and the physical neutral surface concept. The accuracy of the present solutions is verified by comparing the obtained results with available published ones. | ||
| Key Words | ||
| mechanical properties; vibration; functionally graded; deformation; modeling | ||
| Address | ||
| Lazreg Hadji: Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie El Abbes Adda Bedia: Laboratoire des Matériaux & Hydrologie, Université de Sidi Bel Abbes, 22000 Sidi Bel Abbes, Algérie | ||