| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5485297 | Ultrasonics | 2017 | 4 Pages |
â¢A hybrid finite element-plane wave expansion method is proposed.â¢Phononic crystal plates in contact with acoustic half-spaces are considered.â¢Complex Bloch wavenumbers are obtained from a nonlinear eigenvalue problem.â¢Attenuation band diagrams are shown for 1D and 2D phononic crystal plates.
A hybrid Finite Element-Plane Wave Expansion method is presented for the band structure analysis of phononic crystal plates with two dimensional lattice that are in contact with acoustic half-spaces. The method enables the computation of both real (propagative) and imaginary (attenuation) components of the Bloch wavenumber at any given frequency.Three numerical applications are presented: a benchmark dispersion analysis for an oil-loaded Titanium isotropic plate, the band structure analysis of a water-loaded Tungsten slab with square cylindrical cavities and a phononic crystal plate composed of Aurum cylinders embedded in an epoxy matrix.
