Analysis of Bending of Functionally Graded Plates with Porosities Using of High Order Shear Theory

Abstract

This work consists of the analysis of the bending responses of porous functionally graded (FG) rectangular plates according to high order shear deformation theory. The proposed theory contains four unknowns unlike the other theories which contain five unknowns, but it checks the boundary conditions without constraints on the upper and lower plate surfaces. Both the effect of shear strain and normal deformation are included in the present theory and so it does not need any shear correction factor. The equilibrium equations according to the porous FG plates are derived. The solution of the problem is derived by using Navier’s technique. Numerical results have been reported, and compared with those available in the open literature for non-porous plates. Effects of the exponent graded and porosity factors are investigated.

 Keywords:

functionally graded; rectangular plates; porosity; high order theory, sheardeformation