Two new refined shear displacement models for functionally graded sandwich plates

Abstract

Two refined displacement models, RSDT1 and RSDT2, are developed for a bending analysis of functionally graded sandwich plates. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The developed models are variationally consistent, have strong similarity with classical plate theory in many aspects, do not require shear correction factor, and give rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress-free surface conditions. The accuracy of the analysis presented is demonstrated by comparing the results with solutions derived from other higher-order models. The functionally graded layers are assumed to have isotropic, two-constituent material distribution through the thickness, and the modulus of elasticity, Poisson's ratio of the faces, and thermal expansion coefficients are assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic ceramic material. Numerical results for deflections and stresses of functionally graded metal-ceramic plates are investigated. It can be concluded that the proposed models are accurate and simple in solving the bending behavior of functionally graded plates.

Analysis of functionally graded sandwich plates using a new first-order shear deformation theory

“…To reduce computational cost, HSDTs with four unknowns were recently developed for FG sandwich plates (see Refs. [14][15][16][17][18][19][20][21]). …”

A review of theories for the modeling and analysis of functionally graded plates and shells

“…For example, Mechab et al [295] and El Meiche et al [296] proposed a four-unknown HSDT for FG plates [295] and FG sandwich plates [296] using hyperbolic functions. Merdaci et al [297], Tounsi et al [298], Ameur et al [299] and Thai and Vo [300] developed a four-unknown HSDT for FG sandwich plates [297][298] and FG plates [299][300] using the sinusoidal function. Based on an inverse tangential function, Nguyen-Xuan et al [301] proposed a four-unknown HSDT for IGA of FG plates.…”

Thermal buckling and post-buckling response of imperfect temperature-dependent sandwich FGM plates resting on elastic foundation

“…1, is considered [11,12,14,[17][18][19][20][21][22][23][24][25][26][27]. Total height, width, and length of the plate are indicated as h, b, and a, respectively.…”