Influence of porosity on thermal environment of functionally graded square (FGSP) and rectangular plates (FGRP)

This study examines the influence of porosity on the thermo-mechanical environment of functionally graded square (FGSP) and rectangular plates (FGRP). The current theory suggests that only four unknown functions are involved, compared to five in other shear deformation theories, and the boundary conditions on the upper and lower surfaces of the plate do not require shear correction factors. It is assumed that the material properties of this plate (FGSP) and (FGRP) vary continuously over the thickness of the plate according to a power law function in terms of the volume fractions of the constituents. The porosity distribution of the plates (FGSP) and (FGRP) is uniform over their cross-sections. Using the concept of virtual work, the equilibrium equations of a plate (FGSP) and (FGRP) are derived. Numerical results for the rectangular plates have been provided and compared to those found in the literature. The impact of aspect ratios and porosity volume on the bending and thermo-mechanical environment properties of the square (FGSP) and rectangular plates (FGRP) is examined.