Theoretical buckling analysis of inhomogeneous plates under various thermal gradients and boundary conditions
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Date
2023-03-16
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Abstract
This study investigates the theoretical thermal buckling analyses of thick porous rectangular functionally graded (FG)
plates with different geometrical boundary conditions resting on a Winkler-Pasternak elastic foundation using a new higherorder shear deformation theory (HSDT). This new theory has only four unknowns and involves indeterminate integral variables
in which no shear correction factor is required. The variation of material properties across the plate’s thickness is considered
continuous and varied following a simple power law as a function of volume fractions of the constituents. The effect of porosity
with two different types of distribution is also included. The current formulation considers the Von Karman nonlinearity, and the
stability equations are developed using the virtual works principle. The thermal gradients are involved and assumed to change
across the FG plate’s thickness according to nonlinear, linear, and uniform distributions. The accuracy of the newly proposed
theory has been validated by comparing the present results with the results obtained from the previously published theories. The
effects of porosity, boundary conditions, foundation parameters, power index, plate aspect ratio, and side-to-thickness ratio on
the critical buckling temperature are studied and discussed in detail.