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Elastic waves in arrays of elliptic inclusions
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Sebastien Guenneau
Published/Copyright:
September 25, 2009
Abstract
We consider in-plane elastic waves propagating through a doubly periodic array of cylinders of Tantalum (with both circular and elliptical cross-sections) which are embedded in a matrix of fused silica. We find some sonic gap for fairly small filling fractions of the cylinders which eventually vanish in the limit of high-filling fraction. In the case of a doubly periodic array of elliptical cylinders, removal of a cylinder within a macro-cell leads to two localised eigenstates.
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Received: 2004-August-18
Accepted: 2005-March-1
Published Online: 2009-9-25
Published in Print: 2005-10-1
© by Oldenbourg Wissenschaftsverlag, München
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Articles in the same Issue
- Editorial: Phononic Crystals – Sonic Band-Gap Materials
- Classical wave localization and spectral gap materials
- Classical vibrational modes in phononic lattices: theory and experiment
- Scanning phononic lattices with surface acoustic waves
- Acoustic band gap measurements in waveguides with periodic resonant structures
- Experimental observation of resonant filtering in a two-dimensional phononic crystal waveguide
- Experimental study of guiding and filtering of acoustic waves in a two dimensional ultrasonic crystal
- Surface acoustic wave band gaps in micro-machined air/silicon phononic structures — theoretical calculation and experiment
- The layer multiple-scattering method applied to phononic crystals
- Tunneling and dispersion in 3D phononic crystals
- Transmission properties of locally resonant sonic materials with finite slab thickness
- Large enhancement of phononic gap in periodic and quasiperiodic elastic composites by using air inclusions
- Sound propagation in the time-domain by the Split-Operator technique
- Inverse design of phononic crystals by topology optimization
- Elastic waves in arrays of elliptic inclusions
- Books Received
Articles in the same Issue
- Editorial: Phononic Crystals – Sonic Band-Gap Materials
- Classical wave localization and spectral gap materials
- Classical vibrational modes in phononic lattices: theory and experiment
- Scanning phononic lattices with surface acoustic waves
- Acoustic band gap measurements in waveguides with periodic resonant structures
- Experimental observation of resonant filtering in a two-dimensional phononic crystal waveguide
- Experimental study of guiding and filtering of acoustic waves in a two dimensional ultrasonic crystal
- Surface acoustic wave band gaps in micro-machined air/silicon phononic structures — theoretical calculation and experiment
- The layer multiple-scattering method applied to phononic crystals
- Tunneling and dispersion in 3D phononic crystals
- Transmission properties of locally resonant sonic materials with finite slab thickness
- Large enhancement of phononic gap in periodic and quasiperiodic elastic composites by using air inclusions
- Sound propagation in the time-domain by the Split-Operator technique
- Inverse design of phononic crystals by topology optimization
- Elastic waves in arrays of elliptic inclusions
- Books Received
