Absolute band gaps in two-dimensional phononic crystal plates

Jérôme O. Vasseur, Pierre A Deymier, Bahram Djafari-Rouhani, Pennec Yan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

The elastic band structures of two-dimensional phononic crystal plates are computed with the help of a super-cell plane wave expansion (PWE) method. These band structures strongly differ from the infinite 2D phononic crystal dispersion curves. In particular, these band structures exhibit surface modes and guided modes. The influence of the constituent materials, of the plate thickness and of the geometry of the array on the band structure is investigated. We focus more specifically on determining the thicknesses of the plate for which absolute forbidden bands exist. Namely, we show that absolute forbidden bands occur in the band structure if the thickness of the plate is of the same order of magnitude as the periodicity of the array of inclusions.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Print)0791837904, 9780791837900
DOIs
StatePublished - 2006
Event2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Chicago, IL, United States
Duration: Nov 5 2006Nov 10 2006

Other

Other2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006
CountryUnited States
CityChicago, IL
Period11/5/0611/10/06

Fingerprint

Band structure
Energy gap
Crystals
forbidden bands
crystals
periodic variations
plane waves
inclusions
expansion
Geometry
curves
geometry
cells

ASJC Scopus subject areas

  • Mechanical Engineering
  • Acoustics and Ultrasonics

Cite this

Vasseur, J. O., Deymier, P. A., Djafari-Rouhani, B., & Yan, P. (2006). Absolute band gaps in two-dimensional phononic crystal plates. In American Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2006-13353

Absolute band gaps in two-dimensional phononic crystal plates. / Vasseur, Jérôme O.; Deymier, Pierre A; Djafari-Rouhani, Bahram; Yan, Pennec.

American Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA. American Society of Mechanical Engineers (ASME), 2006.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Vasseur, JO, Deymier, PA, Djafari-Rouhani, B & Yan, P 2006, Absolute band gaps in two-dimensional phononic crystal plates. in American Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA. American Society of Mechanical Engineers (ASME), 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006, Chicago, IL, United States, 11/5/06. https://doi.org/10.1115/IMECE2006-13353
Vasseur JO, Deymier PA, Djafari-Rouhani B, Yan P. Absolute band gaps in two-dimensional phononic crystal plates. In American Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA. American Society of Mechanical Engineers (ASME). 2006 https://doi.org/10.1115/IMECE2006-13353
Vasseur, Jérôme O. ; Deymier, Pierre A ; Djafari-Rouhani, Bahram ; Yan, Pennec. / Absolute band gaps in two-dimensional phononic crystal plates. American Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA. American Society of Mechanical Engineers (ASME), 2006.
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