Propagation of plane harmonic waves in flexoelectric microstructured solids

In this paper, we specialize the governing equations of microstructured flexoelectric solids in a plane and solve for possible plane wave propagation. It is shown that there exist two plane waves, namely quasi-P and quasi-SV waves, in a microstructured flexoelectric solid half-space. A numerical example is considered to plot the speeds of quasi-P and quasi-SV waves against the wave number for given propagation angle. The speeds of quasi-P and quasi-SV waves are also computed against the angle of propagation for given wave number. The micro-inertial, strain gradient elastic, and flexoelectric effects on plane wave speeds are illustrated graphically.