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Band structure analysis of leaky Bloch waves in 2D phononic crystal plates
Journal article   Open access   Peer reviewed

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

Matteo Mazzotti, Marco Miniaci and Ivan Bartoli
Ultrasonics, v 74
Feb 2017
PMID: 27776276
url
https://zenodo.org/record/1174339View
SubmittedCC BY V4.0 Open

Abstract

Attenuation Band structure Finite element method Leaky Bloch waves Phononic crystals Plane wave expansion method
•A hybrid finite element-plane wave expansion method is proposed.•Phononic crystal plates in contact with acoustic half-spaces are considered.•Complex Bloch wavenumbers are obtained from a nonlinear eigenvalue problem.•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.

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Web of Science research areas
Acoustics
Radiology, Nuclear Medicine & Medical Imaging
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