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http://dx.doi.org/10.12989/scs.2015.19.4.829

Analytical solution for bending analysis of functionally graded beam  

Sallai, Benoumrane (Laboratoire des Materiaux & Hydrologie, Universite de Sidi Bel Abbes)
Hadji, Lazreg (Laboratoire des Materiaux & Hydrologie, Universite de Sidi Bel Abbes)
Daouadji, T. Hassaine (Laboratoire des Materiaux & Hydrologie, Universite de Sidi Bel Abbes)
Adda Bedia, E.A. (Laboratoire des Materiaux & Hydrologie, Universite de Sidi Bel Abbes)
Publication Information
Steel and Composite Structures / v.19, no.4, 2015 , pp. 829-841 More about this Journal
Abstract
In this paper, a refined exponential shear deformation beam theory is developed for bending analysis of functionally graded beams. The theory account for parabolic variation of transverse shear strain through the depth of the beam and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. Contrary to the others refined theories elaborated, where the stretching effect is neglected, in the current investigation this so-called "stretching effect" is taken into consideration. The material properties of the functionally graded beam are assumed to vary according to power law distribution of the volume fraction of the constituents. Based on the present shear deformation beam theory, the equilibrium equations are derived from the principle of virtual displacements. Analytical solutions for static are obtained. Numerical examples are presented to verify the accuracy of the present theory.
Keywords
beam; static; shear deformation theory; strain; stretching effect;
Citations & Related Records
Times Cited By KSCI : 11  (Citation Analysis)
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