Techno Press

Steel and Composite Structures   Volume 19, Number 4, October 2015, pages 829-841
Analytical solution for bending analysis of functionally graded beam
Benoumrane Sallai, Lazreg Hadji, T. Hassaine Daouadji and E.A. Adda Bedia

Abstract     [Full Text]
    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.
Key Words
    beam; static; shear deformation theory; strain; stretching effect
(1) Benoumrane Sallai, Lazreg Hadji, T. Hassaine Daouadji and E.A. Adda Bedia:
Laboratoire des Matériaux & Hydrologie, Université de Sidi Bel Abbes, 22000 Sidi Bel Abbes, Algeria;
(2) Lazreg Hadji, T. Hassaine Daouadji:
Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algeria.

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