Three-dimensional elasticity solution for bending of functionally graded rectangular plates

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In the present paper, three-dimensional elasticity solution for a functionally graded simply supported plate subjected to transverse loading is developed. The Young's modulus of the plate is assumed to vary exponentially through the thickness, and the Poisson's ratio is assumed to be constant. The approach makes use of the Plevako general solution of the equilibrium equations for inhomogeneous isotropic media. Dependence of stress and displacement fields in the plate on the inhomogeneity ratio, geometry and loading is examined and discussed. Proposed solution is validated by comparing the results for functionally graded plates to the results for a homogeneous isotropic plate. (C) 2004 Elsevier SAS. All rights reserved.

Original languageEnglish
Pages (from-to)853-864
Number of pages11
JournalEuropean Journal of Mechanics A/Solids
Issue number5
Early online date25 May 2004
Publication statusPublished - Sept 2004


  • functionally graded material
  • rectangular plate
  • three-dimensional elasticity theory
  • thermoelastic deformations
  • thermal stresses
  • antiplane shear
  • crack problem
  • coatings
  • loads


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