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Advances in Materials Research
  Volume 5, Number 3, September 2016 , pages 141-169
DOI: https://doi.org/10.12989/amr.2016.5.3.141
 

An analytical approach for buckling of functionally graded plates
Tahar Hassaine Daouadji and Belkacem Adim

 
Abstract
    In this paper, an efficient and simple refined theory is presented for buckling analysis of functionally graded plates. The theory, which has strong similarity with classical plate theory in many aspects, accounts for a quadratic variation of the transverse shear strains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The mechanical properties of functionally graded material are assumed to vary according to a power law distribution of the volume fraction of the constituents. Governing equations are derived from the principle of minimum total potential energy. The closed-form solutions of rectangular plates are obtained. Comparison studies are performed to verify the validity of present results. The effects of loading conditions and variations of power of functionally graded material, modulus ratio, aspect ratio, and thickness ratio on the critical buckling load of functionally graded plates are investigated and discussed.
 
Key Words
    closed-form solution; refined plate theory; buckling analysis; functionally graded plate
 
Address
Tahar Hassaine Daouadji and Belkacem Adim: Departement de genie civil, Universite Ibn Khaldoun Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algerie

Tahar Hassaine Daouadji and Belkacem Adim: Laboratoire de Geomatique et Developpement Durable, Universite Ibn Khaldoun Tiaret, Algerie
 

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