A Higher Order Shear Deformation Model for Bending Analysis of Functionally Graded Plates |
| |
Authors: | Rabia?Benferhat Email author" target="_blank">Tahar?Hassaine DaouadjiEmail author Mohamed?Said Mansour |
| |
Affiliation: | 1.Département de Génie Civil,Université Ibn Khaldoun,Tiaret,Algérie;2.Laboratoire de Géo-matériaux, Département de Génie Civil,Université de Chlef,Chlef,Algéria;3.Laboratoire des Matériaux & Hydrologie,Université de Sidi Bel Abbes,Sidi Bel Abbès,Algérie |
| |
Abstract: | In this paper, the static response of simply supported functionally graded plates subjected to a transverse uniform load and resting on an elastic foundation is examined by using a new higher order displacement model. The present theory exactly satisfies the stress boundary conditions on the top and bottom surfaces of the plate. No transverse shear correction factors are needed, because a correct representation of the transverse shear strain is given. The material properties of the plate are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of volume fractions of material constituents. The foundation is modeled as a two-parameter Pasternak-type foundation, or as a Winkler-type one if the second parameter is zero. The equilibrium equations of a functionally graded plate are given based on the new higher order shear deformation theory of plates presented. The effects of stiffness and gradient index of the foundation on the mechanical responses of the plates are discussed. It is established that the elastic foundations significantly affect the mechanical behavior of thick functionally graded plates. The numerical results presented in the paper can serve as benchmarks for future analyses of thick functionally graded plates on elastic foundations. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|