Study on the characteristics of wave propagation in functionally graded porous square plates

Considering the modified power function form of material parameters, the wave equation of porous functionally graded material plate was established according to Hamilton principle based on the concept of physical medium surface and Reddy high-order shear deformed plate theory. The dispersion relations of five different elastic waves were obtained by using eigenvalue method. Then, the effects of functional gradient index and porosity on the propagation characteristics of five kinds of elastic waves are discussed. Finally, it is found that the pore volume fraction can simultaneously characterize the stiffness strengthening effect and stiffness softening effect, which depends on the power law index.