title: Band structure analysis of leaky Bloch waves in 2D phononic crystal plates.
abstract: 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.
authors: Civil, Architectural & Environmental Engineering Department, Drexel University, 3141 Chestnut St, Philadelphia, PA 19104, USA. Electronic address: matteo.mazzotti@drexel.edu.
authors: Matteo
authors: M
authors: Mazzotti
authors: University of Le Havre, Laboratoire Ondes et Milieux Complexes, UMR CNRS 6294, 75 Rue Bellot, 76600 Le Havre, France.
authors: Marco
authors: M
authors: Miniaci
authors: Civil, Architectural & Environmental Engineering Department, Drexel University, 3141 Chestnut St, Philadelphia, PA 19104, USA.
authors: Ivan
authors: I
authors: Bartoli
keywords: Attenuation; Band structure; Finite element method; Leaky Bloch waves; Phononic crystals; Plane wave expansion method