A simple shear deformation theory for thermo-mechanical behaviour of functionally graded sandwich plates on elastic foundations

Abstract

This paper deals with the thermo-mechanical deformation behaviour of shear deformable functionally graded sandwich plates resting on a two-parameter (Pasternak model) elastic foundation. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The presented theory is variationally consistent, does not require shear correction factor and gives rise to transverse shear stress variation such that the transverse shear stresses vary in hyperbolic manner across the thickness satisfying shear stress-free surface conditions. A power-law distribution for the mechanical characteristics is adopted to model the continuous variation of properties from those of one component to those of the other. The 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 nonsymmetric sandwich plates are presented. The governing equations and boundary

An exponential-trigonometric higher order shear deformation theory (HSDT) for bending, free vibration, and buckling analysis of functionally graded materials (FGMs) plates

“…Meziane et al 23 developed a refined shear deformation theory to study free vibration and buckling of exponentially graded materials (E-FGMs) sandwich plates under various boundary conditions. An inverse trigonometric shear deformation theory to predict bending, buckling, and vibration of simply supported isotropic and sandwich FGMs plates has been proposed by Nguyen et al 24 Taibi et al 25 studied the thermomechanical behavior in static bending and thermal buckling of nonsymmetrical thick FGMs sandwich plates resting on two-parameter foundation with a new refined plate theory. Nguyen 26 studied the effect of various well-known parameters on the bending, buckling, and vibration of FGMs plates using a new hyperbolic HSDT.…”

A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations

“…As a second example to prove the accuracy of the present method, a comparison between the dimensionless center deflection w^ of the present method and those of Taibi et al. [17] for the case of an FGM sandwich plate on an elastic foundation and subjected to a thermo-mechanical loading is shown in Table 2. It can be seen that the present results are in agreement with the published results and this for the different configurations of the elastic foundation and for the various types of FG sandwich plates.…”

“…Tounsi and his co-workers developed a new refined plate theory for bending response, thermo-mechanical bending response, buckling and free vibration of simply supported FGM sandwich plate with only four unknown functions [11–17]. Using the same theory, Beldjelili et al.…”

Numerical analysis of acoustic radiation properties of laminated composite flat panel in thermal environment: A higher-order finite-boundary element approach

“…However, the HSDTs have been confirmed to be adequately accurate (analogous to 3D elasticity solution) in ascertaining the global response of thin and thick laminated (deep and shallow) shells and shell panels. Many researchers have studied the free vibration responses of layered composite shells, 13 thick composite laminates, 14 delaminated composite plates and shells, 15 functionally graded (FG) plates [16][17][18][19][20][21][22] on the basis of the HSDT mid-plane kinematics in thermal and/or hygrothermal 23 environments. The vibration induced acoustic responses of the flat/curved isotropic/anisotropic structures with baffled and unbaffled configurations have been the subject of intense investigation in the past.…”