Wave propagation in one-dimensional fluid-saturated porous phononic crystals with partial-open pore interfaces

The propagation of waves in fluid-saturated porous periodic structures is significantly affected by the interface condition between adjacent layers. We consider in this paper the partial-open pore interface condition between adjacent layers in a one-dimensional fluid-saturated porous phononic crystal. A transfer matrix method is devised to obtain both the complex band structure and the poroelastic Bloch waves of the crystal. Spectral transmission through a finite structure is further computed by a stiffness matrix method. Attention is restricted to normal incidence of longitudinal waves. The influence of the pore blockage, a parameter of the partial-open pore interface condition, and of porosity and viscosity are investigated. The value of the pore blockage is found to influence significantly both the dispersion of poroelastic waves but also the partition of wave energy between solid skeleton and pore fluid. The effects of porosity and viscosity in the case of the partial-open pore interface condition are similar to what was previously obtained in the fully open pore case.