Techno Press
Techno Press

Steel and Composite Structures   Volume 19, Number 3, September 2015, pages 521-546
DOI: http://dx.doi.org/10.12989/scs.2015.19.3.521
 
A new higher-order shear and normal deformation theory for functionally graded sandwich beams
Riadh Bennai, Hassen Ait Atmane and Abdelouahed Tounsi

 
Abstract     [Full Text]
    A new refined hyperbolic shear and normal deformation beam theory is developed to study the free vibration and buckling of functionally graded (FG) sandwich beams under various boundary conditions. The effects of transverse shear strains as well as the transverse normal strain are taken into account. Material properties of the sandwich beam faces are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. Equations of motion are derived from Hamilton's principle. Analytical solutions for the bending, free vibration and buckling analyses are obtained for simply supported sandwich beams. Illustrative examples are given to show the effects of varying gradients, thickness stretching, boundary conditions, and thickness to length ratios on the bending, free vibration and buckling of functionally graded sandwich beams.
 
Key Words
    functionally graded sandwich beam; refined shear deformation theory; stretching effect
 
Address
(1) Riadh Bennai, Hassen Ait Atmane :
Département de génie civil, Faculté de génie civil et d'architecture, Univesité Hassiba Benbouali de Chlef, Algeria;
(2) Hassen Ait Atmane, Abdelouahed Tounsi:
Material and Hydrology Laboratory, University of Sidi Bel Abbes,
Faculty of Technology, Civil Engineering Department, Algeria;
(3) Hassen Ait Atmane, Abdelouahed Tounsi:
Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Université de Sidi Bel Abbes, Faculté de Technologie, Département de génie civil, Algeria.
 

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