This present research studies wave propagation in piezoelectric coupled functionally graded (FG) porous plates reinforced with graphene platelets (GPLs) under magneto-electro-thermo environment. The FG porous nanocomposite plates and piezoelectric layers are subjected to magnetic field and electric filed, respectively. A proportional-derivative (PD) controller is applied to control the electric potential between two piezoelectric layers.The Halpin–Tsai model is employed to express the material properties of FG porous plates reinforced with GPLs and Kelvin-Voigt model is employed to consider the viscoelastic properties of the materials. The governing equations of wave propagation in smart FG porous nanocomposite plates embedded in an orthotropic visco-Pasternak foundation under thermal environment are derived by Hamilton’s principle together with third-order shear deformation theory. An analytical solution is applied to obtain wave frequencies and phase velocities in plates. Then, the validation of proposed model is examined by comparing the natural frequencies calculated in present study and those from literature. Finally, the effects of foundation parameters, structural damping, porosity and GPL distribution, porosity coefficient, GPL weight fraction, temperature changes, applied voltage, magnetic filed and PD controller on wave propagation analysis are evaluated comprehensively.

Wave propagation; Functionally graded; Porous graphene platelets reinforced plates; Piezoelectric materials; Magneto-electro-thermo environment