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

Abstract

In this paper, a new first-order shear deformation theory is presented for functionally graded sandwich plates composed of functionally graded face sheets and an isotropic homogeneous core. By making a further assumption to the existing first-order shear deformation theory, the number of unknowns and governing equations of the present theory is reduced, thereby making it simple to use. In addition, the use of shear correction factor is no longer necessary in the present theory since the transverse shear stresses are directly computed from the transverse shear forces by using equilibrium equations. Equations of motion are derived from Hamilton's principle. Analytical solutions for bending, buckling and free vibration analysis of rectangular plates under various boundary conditions are presented. Verification studies show that the present first-order shear deformation theory is not only more accurate than the conventional one, but also comparable with higher-order shear deformation theories which have a greater number of unknowns.

Thermoelastic Deflection Responses of CNT Reinforced Sandwich Shell Structure using Finite Element Method

“…Further, to improve the confidence in the current FE model, few results are computed for the FGM sandwich structure by changing the core to face thickness ratios and the power law indices (n) under the mechanical SDL. The normalized central deflections are calculated using the same material and geometrical properties as those used in [59] and reported in Table 2 along with the results of the published literature [27,59]. From both the comparison studies, it is clearly evident that the results evaluated using the current higher-order FE model are as good as the available published results.…”

Benchmark Solution for Free Vibration of Moderately Thick Functionally Graded Sandwich Sector Plates on Two-Parameter Elastic Foundation with General Boundary Conditions

“…Compared with the composite laminated and functionally graded sector plate, the existing results of FG sandwich sector plates are too scarce for engineering applications and comparative studies. However, we can know the importance of the FG sandwich sector plates from the existing published literature about other FG sandwich structures [40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. Thus, an accurate frequency and mode shape determination are of considerable importance for the technical design of FG sandwich sector plates.…”

Vibration Characteristics of Axially Moving Titanium- Polymer Nanocomposite Faced Sandwich Plate Under Initial Tension

“…They assumed shear strain shape function for non-linear distribution of in-plane displacement across the thickness. Thai et al [9] presented a new first-order shear deformation theory for functionally graded sandwich plates composed of isotropic core and functionally graded face sheets. They approved that the presented theory is accurate in predicting the bending, buckling and free vibration responses of FG sandwich plates.…”