Recueil de mécanique
Volume 6, Numéro 1, Pages 560-572
2022-02-04
Static Study Of Functionally Graded Material (fgm) Sandwich Plates Using A New Hyperbolic Theory
Authors : Benguediab Soumia . Kettaf Fatima Zohra . Benguediab Mohamed . Tounsi Abdelouahed .
Abstract
A new refined hyperbolic theory taking into account the transverse shear effect is proposed to analyze the static behavior of thick plates in functionally graduated materials (FGM). The proposed model uses a new displacement field using only four unknowns determining the equilibrium equations, using the Hamilton principle. This theory contains only four variables unlike other plate theories. The nullity of transverse shear stresses at the upper and lower surfaces of the plate is satisfied in this model. These material properties of the FGM plate vary according to a distribution of the power law in terms of volume fraction of the constituents; one can conclude that this theory is effective and simple for the analysis of the static response of the FGM plates.
Keywords
FGM plate ; Hyperbolic theory ; Refined theory ; Navier solution
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