Local resonances-induced low-frequency band gaps in two-dimensional phononic crystal slabs with periodic stepped resonators

Journal of Physics D: Applied Physics

Volumn 44, Issue 5, 2011, Pages

  Hsu, Jin Chen ^a  

^a NATIONAL YUNLIN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC ENERGY; BAND GAPS; BRAGG SCATTERING; DISPERSION RELATIONS; EXCITATION CONDITIONS; FORBIDDEN BAND; LAMB-WAVE PROPAGATION; LATTICE SYMMETRY; LOCAL RESONANCE; LOW FREQUENCY; LOW FREQUENCY BAND; NUMERICAL INVESTIGATIONS; PHONONIC CRYSTAL; POLARIZATION STATE; RESONANCE SPECTRUM; RESONATOR ARRAYS; RESONATOR GEOMETRY; SINGLE LAYER; THIN SLAB; TRANSMISSION SPECTRUMS; TWO-DIMENSIONAL PHONONIC CRYSTALS;

ELASTIC WAVES; ENERGY GAP; FINITE ELEMENT METHOD; FREQUENCY BANDS; PHONONS; POLARIZATION; RESONATORS; SLAB MILLS; TWO DIMENSIONAL; WAVE PROPAGATION;

RESONANCE;

EID: 79251573858     PISSN: 00223727     EISSN: 13616463     Source Type: Journal    
DOI: 10.1088/0022-3727/44/5/055401     Document Type: Article

References (30)

1. Kushwaha M S, Halevi P, Dobrzynski L and Djafari-Rouhani B 1993 Acoustic band structure of periodic elastic composites Phys. Rev. Lett. 71 2022-5
2. Tanaka Y and Tamura S I 1998 Surface acoustic waves in two-dimensional periodic elastic structures Phys. Rev. B 58 7958-65
3. Sainidou R, Djafari-Rouhani B and Vasseur J O 2008 Surface acoustic waves in finite slabs of three-dimensional phononic crystals Phys. Rev. B 77 094304
4. Meseguer F, Holgado M, Caballero D, Benaches N, Sánchez-Dehesa J, López C and Llinares J 1999 Rayleigh-wave attenuation by a semi-infinite two-dimensional elastic-band-gap crystal Phys. Rev. B 59 12169
5. Fang N, Xi D, Xu J, Ambati M, Srituravanich W, Sun C and Zhang X 2006 Ultrasonic metamaterials with negative modulus Nature Mater. 5 452
6. Hu X, Chan C T and Zi J 2005 Two-dimensional sonic crystals with Helmholtz resonators Phys. Rev. E 71 055601
7. Wang Z G, Lee S H, Kim C K, Park C M, Nahm K and Nikitov S A 2008 Acoustic wave propagation in one-dimensional phononic crystals containing Helmholtz resonators J. Appl. Phys. 103 064907
8. Hu X, Ho K M, Chan C T and Zi J 2008 Homogenization of acoustic metamaterials of Helmholtz resonators in fluid Phys. Rev. B 77 172301
9. Cheng Y, Xu J Y and Liu X J 2008 Broad forbidden bands in parallel-coupled locally resonant ultrasonic metamaterials Appl. Phys. Lett. 92 051913
10. Psarobas I E, Stefanou N and Modinos A 2000 Phononic crystals with planar defects Phys. Rev. B 62 5536-40
11. Liu Z, Zhang X, Mao Y, Zhu Y Y, Yang Z, Chan C T and Sheng P 2000 Locally resonant sonic materials Science 289 1734
12. Goffaux C, Sánchez-Dehesa J, Levy Yeyati A, Lambin Ph, Khelif A, Vasseur J O and Djafari-Rouhani B 2002 Evidence of Fano-like interference phenomena in locally resonant materials Phys. Rev. Lett. 88 225502
13. Hsu J C and Wu T T 2007 Lamb waves in binary locally resonant phononic plates with two-dimensional lattices Appl. Phys. Lett. 90 201904
14. Sainidou R and Stefanou N 2006 Guided and quasiguided elastic waves in phononic crystal slabs Phys. Rev. B 73 184301
15. Pennec Y, Djafari-Rouhani B, Larabi H, Vasseur J O and Hladky-Hennion A C 2008 Low-frequency gaps in a phononic crystal constituted of cylindrical dots deposited on a thin homogeneous plate Phys. Rev. B 78 104105
16. Wu T C, Wu T T and Hsu J C 2009 Waveguiding and frequency selection of Lamb waves in a plate with a periodic stubbed surface Phys. Rev. B 79 104306
17. Khelif A, Achaoui Y, Benchabane S, Laude V and Aoubiza B 2010 Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface Phys. Rev. B 81 214303
18. Hsu J C and Wu T T 2006 Efficient formulation for band-structure calculations of two-dimensional phononic-crystal plates Phys. Rev. B 74 144303
19. Khelif A, Aoubiza B, Mohammadi S, Adibi A and Laude V 2006 Complete band gaps in two-dimensional phononic crystal slabs Phys. Rev. E 74 046610
20. Sun C Y, Hsu J C and Wu T T 2010 Resonant slow modes in phononic crystal plates with periodic membranes Appl. Phys. Lett. 97 031902
21. Mohammadi S, Eftekhar A A, Hunt W D and Adibi A 2009 High-Q micromechanical resonators in a two-dimensional phononic crystal slab Appl. Phys. Lett. 94 051906
22. Yao Z J, Yu G L, Wang Y S and Shi Z F 2009 Propagation of bending waves in phononic crystal thin plates with a point defect Int. J. Solids Struct. 46 2571
23. Chen J J, Bonello B and Hou Z L 2008 Plate-mode waves in phononic crystal thin slabs: mode conversion Phys. Rev. E 78 036609
24. Pennec Y, Djafari-Rouhani B, Larabi H, Akjouj A, Gillet J N, Vasseur J O and Thabet G 2009 Phonon transport and waveguiding in a phononic crystal made up of cylindrical dots on a thin homogeneous plate Phys. Rev. B 80 144302
25. Sun J H and Wu T T 2006 Propagation of surface acoustic waves through sharply bent two-dimensional phononic crystal waveguides using a finite-difference time-domain method Phys. Rev. B 74 174305
26. Hsu J C and Wu T T 2010 Plate waves in locally resonant sonic materials Japan. J. Appl. Phys. 49 07HB11
27. COMSOL MULTIPHYSICS 3.3 Manual, comsol AB, Stockholm, Sweden
28. Duhring M B, Laude V and Khelif A 2009 Energy storage and dispersion of surface acoustic waves trapped in a periodic array of mechanical resonators J. Appl. Phys. 105 093504
29. Brillouin L 1958 Wave Propagation in Periodic Structures (Mineola, NY: Dover)
30. Benchabane S, Khelif A, Rauch J Y, Robert L and Laude V 2006 Evidence for complete surface wave band gap in a piezoelectric phononic crystal Phys. Rev. E 73 065601