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 Scopus citations

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 publicationProceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Noise Control and Acoustics
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Print)0791837904, 9780791837900
DOIs
StatePublished - Jan 1 2006
Event2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Chicago, IL, United States
Duration: Nov 5 2006Nov 10 2006

Publication series

NameAmerican Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA
ISSN (Print)1071-6947

Other

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

ASJC Scopus subject areas

  • Mechanical Engineering
  • Acoustics and Ultrasonics

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    Vasseur, J. O., Deymier, P. A., Djafari-Rouhani, B., & Yan, P. (2006). Absolute band gaps in two-dimensional phononic crystal plates. In Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Noise Control and Acoustics (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