Mechanical Buckling of FG Saturated Porous Rectangular Plate with Piezoelectric Actuators

In this study buckling analysis of solid rectangular plate made of porous material bounded with the layers of piezoelectric actuators in undrained condition is investigated. Porous material properties vary through the thickness of plate with a specific function. Distributing of the pores through the plate thickness is assumed to be the nonlinear nonsymmetric distribution. The general mechanical non-linear equilibrium and linear stability equations are derived using the variational formulations to obtain the governing equations of piezoelectric porous plate. The effects of piezoelectric layers on critical buckling load of plate, piezoelectric layer-to-porous plate thickness ratio and actuator voltage are studied. Also, effect of fluid compressibility and variation of porosity on critical buckling load are investigated in the undrained condition. Closed-form solutions is used to derive the critical buckling loads of the plate subjected to mechanical loading. The results obtained for porous plates with the layers of piezoelectric actuators are verified with the known data in literature.