Techno Press


Steel and Composite Structures   Volume 15, Number 5, November 2013, pages 467-479
DOI: 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
Mohammed Bouremana, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, Abdelhakim Kaci and El Abbas Adda Bedia

 
Abstract     [Full Text]
    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.
 
Key Words
    functionally graded beam; first shear deformation theory; neutral surface position
 
Address
(1) Mohammed Bouremana, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, Abdelhakim Kaci and El Abbas Adda Bedia: Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, BP 89 Cite Ben M\'hidi, 22000 Sidi Bel Abbes, Algerie;
(2) Mohammed Sid Ahmed Houari: Departement de genie civil, Universite de Mascaraa, Algerie;
(3) Abdelouahed Tounsi: Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de Genie Civil, BP 89 Cite Ben M\'hidi, 22000 Sidi Bel Abbes, Algerie.
 

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