Effect of variable volume fraction distribution and geometrical parameters on the bending behavior of sandwich plates with FG isotropic face sheets
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Date
2023-03-23
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Abstract
This article analyzes the bending behavior of functionally graded sandwich
plate structures submitted to sinusoidal loads using the hyperbolic quasi-
3D shear deformation plate theory. In this theory, the number of
unknowns is reduced from six to only five unknowns using an undefined
integral without needing any shear correction factor. Furthermore, the
effective constituent material properties of the upper and lower layers of
the functionally graded sandwich plate are assumed to vary smoothly and
continuously only in the thickness direction. In contrast, the core layer is
still homogeneous and isotropic. The governing equilibrium equations of
simply supported functionally graded sandwich plates are derived using
the principle of virtual displacement. Their analytical solution is obtained
using Navier’s technique for various schemas of functionally graded sandwich plates. The effects of the power law index, side-to-thickness ratio, and
aspect ratio on the bending behavior are investigated.