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Coupled Systems Mechanics
  Volume 4, Number 1, March 2015, pages 099-114
DOI: http://dx.doi.org/10.12989/csm.2015.4.1.099
 


Static bending and free vibration of FGM beam using an exponential shear deformation theory
L. Hadji, Z. Khelifa, T.H. Daouadji and E.A. Bedia

 
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 equations of motion are derived from Hamilton\'s principle. Analytical solutions for static are obtained. Numerical examples are presented to verify the accuracy of the present theory.
 
Key Words
    bending; dynamic analysis; functionally graded; stretching effect; vibration
 
Address
L. Hadji, Z. Khelifa and T.H. Daouadji: Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie;
Laboratoire des Matériaux and Hydrologie, Université de Sidi Bel Abbes, 22000 Sidi Bel Abbes, Algérie
E.A. Bedia: Laboratoire des Matériaux and Hydrologie, Université de Sidi Bel Abbes, 22000 Sidi Bel Abbes, Algérie
 

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