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http://dx.doi.org/10.12989/scs.2013.15.5.467

A new first shear deformation beam theory based on neutral surface position for functionally graded beams  

Bouremana, Mohammed (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)
Houari, Mohammed Sid Ahmed (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)
Tounsi, Abdelouahed (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)
Kaci, Abdelhakim (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)
Bedia, El Abbas Adda (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)
Publication Information
Steel and Composite Structures / v.15, no.5, 2013 , pp. 467-479 More about this Journal
Abstract
In this paper, a new first-order shear deformation beam theory based on neutral surface position is developed for bending and free vibration analysis of functionally graded beams. The proposed theory is based on assumption that the in-plane and transverse displacements consist of bending and shear components, in which the bending components do not contribute toward shear forces and, likewise, the shear components do not contribute toward bending moments. The neutral surface position for a functionally graded beam which its material properties vary in the thickness direction is determined. Based on the present new first-order shear deformation beam theory and the neutral surface concept together with Hamilton's principle, the motion equations are derived. To examine accuracy of the present formulation, several comparison studies are investigated. Furthermore, the effects of different parameters of the beam on the bending and free vibration responses of functionally graded beam are discussed.
Keywords
functionally graded beam; first shear deformation theory; neutral surface position;
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Times Cited By KSCI : 3  (Citation Analysis)
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