Analyse du flambement des plaques composites en utilisant la théorie à ordre élevé
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Date
2012-11-27
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Abstract
Résumé :
Dans cette thèse, le flambement mécanique des plaques en matériaux fonctionnement graduels (FGM) est concèderai en
utilisant une nouvelle classe des théories des plaques à quatre variable. Contrairement aux autres théories, le nombre
d’inconnues impliquées est de quatre alors que les autres théories de déformation de cisaillement nécessite cinq variables
.cette présente théorie n’a pas besoin des coefficients de correction de cisaillement et donne une variation parabolique des
contraintes de cisaillement transversal à travers l’épaisseur en satisfaisant l’annulation de la contrainte de cisaillement aux
surfaces extrême de la plaque .les propriétés matérielles de la plaque sont supposée être varier à traver l’épaisseur selon une
loi de puissance .De plus le flambement thermique des plaques (FGM) a été aussi étudié en utilisant une approche simple est
efficace basée sur la théorie classique des plaques et la théorie de premier ordre.
Mots clés : FGM, déformation, plaques sandwiches.
Abstract
In this research, mechanical buckling of hybrid functionally graded plates is considered using a new four variable refined
plate theory. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other
shear deformation theories. The theory presented is variation ally consistent, does not require shear correction factor, and
gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolic ally across the thickness
satisfying shear stress free surface conditions. The plate properties are assumed to be varied through the thickness following a
simple power law distribution in terms of volume fraction of material constituents. Governing equations are derived from the
principle of minimum total potential energy. The closed-form solution of a simply supported rectangular plate subjected to
in-plane loading has been obtained by using the Navier method. The effectiveness of the theories is brought out through
illustrative examples. In this research, mechanical buckling of hybrid functionally graded plates is considered using a new
four variable refined plate theory. Unlike any other theory, the number of unknown functions involved is only four, as against
five in case of other shear deformation theories. The theory presented is variation ally consistent, does not require shear
correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolic ally
across the thickness satisfying shear stress free surface conditions. The plate properties are assumed to be varied through the
thickness following a simple power law distribution in terms of volume fraction of material constituents. In addition, the
thermal buckling of functionally graded plates is studded using a simple and affection based on classical plate theory and fist
shear deformation theory. Governing equations are derived from the principle of minimum total potential energy. The closed form solution of a simply supported rectangular plate subjected to in-plane loading has been obtained by using the Navier
method. The effectiveness of the theories is brought out through illustrative examples.
Keywords : Functionally graded materials, two-variable refined plate theory, shear deformation theory,
Sandwich plate.
Description
Doctorat en Sciences
