Wave propagation in magneto-porosity FG bi-layer nanoplates based on a novel quasi-3D refined plate theory

A quasi-3D refined plate theory is presented with the nonlocal strain gradient theory to investigate the wave propagation in bi-layer porous FG nanoplates surrounded by an elastic medium. Both layers are exposed to in-plane 2D-magnetic field. Maxwell's relations for perfectly conducting nanoplates are employed to derive the Lorentz magnetic force. The two porous FG nanoplates are coupled together using Winkler elastic medium. The mechanical properties of the nanoplates are continuously varied according to an exponential rule considering the porosity volume fraction. The governing equations of both layers are derived containing the plate interaction, elastic medium interaction, Lorentz magnetic force and the material length scale parameters. The frequency and phase velocity under the effects of magnetic parameter, porosity factor, elastic medium parameters, nonlocal parameter, strain gradient coefficient and nanoplate geometry are presented and discussed in detail.