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Structural Engineering and Mechanics   Volume 48, Number 4, November25 2013, pages 547-567
DOI: https://doi.org/10.12989/sem.2013.48.4.547
 
Nonlinear thermal buckling behavior of functionally graded plates using an efficient sinusoidal shear deformation theory
Rabbab Bachir Bouiadjra, E.A. Adda Bedia and Abdelouahed Tounsi

 
Abstract     [Buy Article]
    Nonlinear behavior of functionally graded material (FGM) plates under thermal loads is investigated here using an efficient sinusoidal shear deformation theory. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements give rise to the sinusoidal distribution of transverse shear stress through the thickness in such a way that shear stresses vanish on the plate surfaces. Therefore, there is no need to use shear correction factor. Unlike the conventional sinusoidal shear deformation theory, the proposed efficient sinusoidal shear deformation theory contains only four unknowns. The material is graded in the thickness direction and a simple power law based on the rule of mixture is used to estimate the effective material properties. The neutral surface position for such FGM plates is determined and the sinusoidal shear deformation theory based on exact neutral surface position is employed here. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. The non-linear strain–displacement relations are also taken into consideration. The thermal loads are assumed as uniform, linear and non-linear temperature rises across the thickness direction. Closed-form solutions are presented to calculate the critical buckling temperature, which are useful for engineers in design. Numerical results are presented for the present efficient sinusoidal shear deformation theory, demonstrating its importance and accuracy in comparison to other theories.
 
Key Words
    functional composites; thermal properties; buckling; plate theory; neutral surface position
 
Address
Rabbab Bachir Bouiadjra : Faculte d\'Architecture & de Genie Civil, Departement de Genie Civil, Universite Sciences et de la Technologie d\'Oran, Algeria; Laboratoire des Materiaux et Hydrologie, Faculte de Technologie, Universite de Sidi Bel Abbes, Algeria
E.A. Adda Bedia: Laboratoire des Materiaux et Hydrologie, Faculte de Technologie, Universite de Sidi Bel Abbes, Algeria
Abdelouahed Tounsi: Laboratoire des Materiaux et Hydrologie, Faculte de Technologie, Universite de Sidi Bel Abbes, Algeria; Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Sidi Bel Abbes, Faculté de Technologie, Departement de Génie Civil, Algeria
 

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