Band structure analysis of leaky Bloch waves in 2D phononic crystal plates

Matteo Mazzotti; Marco Miniaci; Ivan Bartoli

doi:10.1016/j.ultras.2016.10.006

Band structure analysis of leaky Bloch waves in 2D phononic crystal plates

Ultrasonics. 2017 Feb:74:140-143. doi: 10.1016/j.ultras.2016.10.006. Epub 2016 Oct 14.

Authors

Matteo Mazzotti¹, Marco Miniaci², Ivan Bartoli³

Affiliations

¹ Civil, Architectural & Environmental Engineering Department, Drexel University, 3141 Chestnut St, Philadelphia, PA 19104, USA. Electronic address: matteo.mazzotti@drexel.edu.
² University of Le Havre, Laboratoire Ondes et Milieux Complexes, UMR CNRS 6294, 75 Rue Bellot, 76600 Le Havre, France.
³ Civil, Architectural & Environmental Engineering Department, Drexel University, 3141 Chestnut St, Philadelphia, PA 19104, USA.

PMID: 27776276
DOI: 10.1016/j.ultras.2016.10.006

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.

Keywords: Attenuation; Band structure; Finite element method; Leaky Bloch waves; Phononic crystals; Plane wave expansion method.

Publication types

Research Support, Non-U.S. Gov't