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The thermomechanical bending response of functionally graded sandwich plates has been investigated by the use of the new four variable refined plate theories. 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. The theory presented is variationally consistent, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. The no symmetric sandwich plate faces are made of isotropic, two-constituent (ceramic– metal) material distribution through the thickness. The core layer is still homogeneous and made of an isotropic metal material. Several kinds of no symmetric sandwich plates are presented. The validity of the present theory is investigated by comparing some of the present results with those of the classical, the first-order, and the other higher-order theories. Field equations for functionally graded sandwich plates whose deformations are governed by either the shear deformation theories or the classical theory are derived. Displacement and stress functions of the plate for different values of the power-law exponent and thickness to-side ratios are presented. Numerical results for deflections and stresses of functionally graded metal–ceramic plates are investigated.

International Symposium on Light Alloys and Composite Materials
UHAKS

Youcef Tlidji Lazreg Hadji Tahar Hassaine Daouadji

This study deals with free vibrations analysis of nanocomposite beams with stretching effect reinforced by single-walled carbon nanotubes (SWCNTs) resting on an elastic foundation. The SWCNTs are assumed to be aligned and straight with a uniform layout. Four different carbon nanotubes (CNTs) distributions including uniform and three types of functionally graded distributions of CNTs through the thickness are considered. The rule of mixture is used to describe the effective material properties of the nanocomposite beams. The governing equations are derived through using Hamilton’s principle and then solved by using the Navier solution. Natural frequencies are obtained for nanocomposite beams. Effects of several parameters, such as nanotube volume fraction, foundation stiffness parameters, slenderness ratios and CNTs distribution on both natural frequency are investigated. The results indicate that the above-mentioned parameters play a very important role on the free vibrations characteristics of the beam.

International Symposium on Light Alloys and Composite Materials
UHAKS

Lazreg Hadji Nafissa Zouatnia Kada DRAICHE

This paper presents a static flexure of laminated composite plates by using a novel first shear deformation theory (FSDT). This theory contains only four unknowns, with is even less than the classical FSDT and has strong similarities with the classical plate theory in many aspects such as equations of motion, boundary conditions, and stress resultant expressions. The governing equations are derived by employing the Hamilton's principles and solved via Navier's solution. Analytical solutions of simply supported antisymmetric cross-ply and angle-ply laminates are obtained and the results are compared with the exact 3D [1], classical FSDT [2] and the Higher- order shear deformation theory (HSDT) with cubic variations for in-plane displacements developed by Reddy [3] and other solutions available in the literature. Comparison studies show that this novel first-order shear deformation theory can achieve the same accuracy of the existing first-order shear deformation theory which has more number of unknowns.

International Symposium on Light Alloys and Composite Materials
UHAKS

Kada DRAICHE Lazreg Hadji Abdelouahed TOUNSI El Abbas ADDA BEDIA