Wave propagation in two-dimensional periodic lattices

The Journal of the Acoustical Society of America
A Srikantha PhaniN A Fleck

Abstract

Plane wave propagation in infinite two-dimensional periodic lattices is investigated using Floquet-Bloch principles. Frequency bandgaps and spatial filtering phenomena are examined in four representative planar lattice topologies: hexagonal honeycomb, Kagomé lattice, triangular honeycomb, and the square honeycomb. These topologies exhibit dramatic differences in their long-wavelength deformation properties. Long-wavelength asymptotes to the dispersion curves based on homogenization theory are in good agreement with the numerical results for each of the four lattices. The slenderness ratio of the constituent beams of the lattice (or relative density) has a significant influence on the band structure. The techniques developed in this work can be used to design lattices with a desired band structure. The observed spatial filtering effects due to anisotropy at high frequencies (short wavelengths) of wave propagation are consistent with the lattice symmetries.

References

Jun 14, 2003·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Ole Sigmund, Jakob Søndergaard Jensen

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Citations

Aug 24, 2013·The Journal of the Acoustical Society of America·L Raghavan, A Srikantha Phani
Nov 14, 2012·The Journal of the Acoustical Society of America·Sungmin YooYoon Young Kim
Jan 10, 2013·The Journal of the Acoustical Society of America·C LagarrigueV Tournat
Jun 21, 2012·The Journal of the Acoustical Society of America·F GöncüK Bertoldi
Sep 23, 2014·The Journal of the Acoustical Society of America·Jason A KulpeMichael J Leamy
Oct 9, 2012·The Journal of the Acoustical Society of America·Céline ChesnaisStéphane Hans
Aug 7, 2014·The Journal of the Acoustical Society of America·Sandro L VatanabeEmílio C N Silva
Jun 22, 2015·The Journal of the Acoustical Society of America·Jason A KulpeMichael J Leamy
Jun 3, 2016·The Journal of the Acoustical Society of America·Jason A KulpeMichael J Leamy
Jul 3, 2016·The Journal of the Acoustical Society of America·Vladimir Dorodnitsyn, Bart Van Damme
Sep 3, 2016·The Journal of the Acoustical Society of America·Zhu-Wei Zhu, Zi-Chen Deng
Feb 6, 2018·Scientific Reports·Luca D'AlessandroAlberto Corigliano
Jul 12, 2019·Scientific Reports·Myung-Jin ChoiSeonho Cho
Mar 4, 2020·Polymers·Reza NorooziMohammad Fotouhi
Sep 19, 2015·Physical Review Letters·Pai WangKatia Bertoldi
Jun 21, 2017·Scientific Reports·Franziska WarmuthCarolin Körner
Oct 3, 2020·The Journal of the Acoustical Society of America·Kai ZhangZichen Deng
Feb 24, 2015·Physical Review Letters·R Ganesh, S Gonella
May 4, 2017·The Journal of the Acoustical Society of America·S Ehsan Moosavimehr, A Srikantha Phani
Jun 5, 2018·Physical Review Letters·André FoehrChiara Daraio
Oct 20, 2018·Proceedings. Mathematical, Physical, and Engineering Sciences·M I Hussein, R Khajehtourian
Oct 2, 2020·Advanced Science·Maya Pishvar, Ryan L Harne
Sep 23, 2020·Nature Materials·Matheus C FernandesKatia Bertoldi
Oct 9, 2019·The Journal of the Acoustical Society of America·ZhiWei ZhuJianKe Du
Apr 18, 2018·Proceedings. Mathematical, Physical, and Engineering Sciences·Robert B Hudson, Alok Sinha
Dec 2, 2015·Materials·Franziska Warmuth, Carolin Körner
May 10, 2018·Scientific Reports·Antonio Palermo, Alessandro Marzani
Oct 16, 2019·Scientific Reports·Ahmed Mehaney, Ashour M Ahmed
Feb 17, 2017·Scientific Reports·Marshall SchaefferMassimo Ruzzene
May 10, 2019·The Journal of the Acoustical Society of America·Ganesh U Patil, Kathryn H Matlack
Jan 1, 2021·The Journal of the Acoustical Society of America·Karl A Fisher

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