Acoustic insulators in sound attenuation applications usually have a structure with a characteristic dimensions equivalent to the operating wavelength, posing significant challenges in low-frequency sound attenuation applications. Recent advancements in material science, advanced materials called acoustic metamaterials (AMMs) have paved the way for designing efficient noise insulation passive and active devices. This paper proposes heterogeneous integrated passive metamaterials for enhanced sound insulation in broad frequency bands. Six acoustic meta-unit cells (UCs) with deep subwavelength thickness were proposed and analyzed numerically for the acoustic band structure and transmission characteristics. Out of these six UCs, three high-performing UCs were chosen for further analysis. Finite element (FE) analysis results showed that the maximum transmission loss conforms with the computed band structures. Next, we proposed several heterogeneous meta-structures consisting of different combinations of chosen meta-unit cells. The FE analysis results showed that a broader band of sound absorptions can be achieved through the hybrid design of AMMs. Our research revealed that the suggested structures may be utilized to create metamaterials with a wider absorption band, making them suitable for a variety of applications.
Zangeneh-NejadFFleuryR. Active times for acoustic metamaterials. Rev Phy2019; 4: 100031. DOI: 10.1016/j.revip.2019.100031
2.
“A rock-crystal lens”, J Franklin Inst1920; 189(1):124–125. DOI: 10.1016/s0016-0032(20)91362-5
3.
PendryJ. Taking the wraps off cloaking. Physics2009; 2: 95. DOI: 10.1103/physics.2.95
4.
PendryJB. Negative refraction makes a perfect lens. Phys Rev Lett2000; 85(18): 3966–3969. DOI: 10.1103/physrevlett.85.3966
5.
AssouarBLiangBWuY, et al.Acoustic metasurfaces. Nat Rev Mater2018; 3(12): 460–472.
6.
EbbesenTWLezecHJGhaemiHF, et al.Extraordinary optical transmission through sub-wavelength hole arrays. Nature1998; 391(6668): 667–669. DOI: 10.1038/35570
7.
García de AbajoFJ. Colloquium: light scattering by particle and hole arrays. Rev Mod Phys2007; 79(4): 1267–1290. DOI: 10.1103/revmodphys.79.1267
8.
Garcia-VidalFJMartin-MorenoLEbbesenTW, et al.Light passing through subwavelength apertures. Rev Mod Phys2010; 82(1): 729–787. DOI: 10.1103/revmodphys.82.729
9.
LiYLiangBZouX-y, et al.Extraordinary acoustic transmission through ultrathin acoustic metamaterials by coiling up space. Appl Phys Lett2013; 103(6): 063509. DOI: 10.1063/1.4817925
10.
YuNGenevetPKatsMA, et al.Light propagation with phase discontinuities: generalized laws of reflection and refraction. Science2011; 334(6054): 333–337. DOI: 10.1126/science.1210713
11.
ZhangYQZhangZDAartsJ. Erratum: first-order nature of a metamagnetic transition and mechanism of giant magnetoresistance inMn2Sb0.95Sn0.05[Phys. Rev. B70, 132407 (2004)]. Phys Rev B2005; 71–22. DOI: 10.1103/physrevb.71.229902
12.
LuM-HLiuX-KFengL, et al.Extraordinary acoustic transmission through a 1D grating with very narrow apertures. Phys Rev Lett2007; 99(17): 174301‐1–174301‐4. DOI: 10.1103/physrevlett.99.174301
13.
MeiJHouBKeM, et al.Acoustic wave transmission through a bull’s eye structure. Appl Phys Lett2008; 92(12): 124106. DOI: 10.1063/1.2903704
14.
ChristensenJMartin-MorenoLGarcia-VidalFJ. Theory of resonant acoustic transmission through subwavelength Apertures. Phys Rev Lett2008; 101(1): 014301. DOI: 10.1103/physrevlett.101.014301
15.
ZheludevNI. The road ahead for metamaterials. Science2010; 328(5978): 582–583. DOI: 10.1126/science.1186756
16.
Al-LethaweMAAddoucheMKhelifA, et al.All-angle negative refraction for surface acoustic waves in pillar-based two-dimensional phononic structures. New J Phys2012; 14(12): 123030. DOI: 10.1088/1367-2630/14/12/123030
17.
ElayouchAAddoucheMKhelifA. Extensive tailorability of sound absorption using acoustic metamaterials. J Appl Phys2018; 124(15): 155103. DOI: 10.1063/1.5035129
AbueiddaDWJasiukISobhNA. Acoustic band gaps and elastic stiffness of PMMA cellular solids based on triply periodic minimal surfaces. Mater Des2018; 145: 20–27. DOI: 10.1016/j.matdes.2018.02.032
21.
HusseinMI. Erratum: theory of damped Bloch waves in elastic media. Phys Rev B2010; B81(1): 019903. DOI: 10.1103/physrevb.81.019903
22.
KafesakiMSigalasMMEconomouEN. Elastic wave band gaps in 3-D periodic polymer matrix composites. Solid State Commun1995; 96(5): 285–289. DOI: 10.1016/0038-1098(95)00444-0
23.
WangLBertoldiK. Mechanically tunable phononic band gaps in three-dimensional periodic elastomeric structures. Int J Solid Struct2012; 49(19–20): 2881–2885. DOI: 10.1016/j.ijsolstr.2012.05.008
24.
KhelifAChoujaaADjafari-RouhaniB, et al.Trapping and guiding of acoustic waves by defect modes in a full-band-gap ultrasonic crystal. Phys Rev B2003; 68(21): 214301. DOI: 10.1103/physrevb.68.214301
25.
SainidouRStefanouNModinosA. Formation of absolute frequency gaps in three-dimensional solid phononic crystals. Phys Rev B2002; 66(21): 212301. DOI: 10.1103/physrevb.66.212301
26.
ElfordDPChalmersLKusmartsevFV, et al.Matryoshka locally resonant sonic crystal. J Acoust Soc Am2011; 130(5): 2746–2755. DOI: 10.1121/1.3643818
27.
Sánchez-PérezJVCaballeroDMártinez-SalaR, et al.Sound attenuation by a two-dimensional array of rigid cylinders. Phys Rev Lett1998; 80(24): 5325–5328. DOI: 10.1103/physrevlett.80.5325
28.
Sanchez-PerezJVRubioCMartinez-SalaR, et al.Acoustic barriers based on periodic arrays of scatterers. Appl Phys Lett2002; 81(27): 5240–5242. DOI: 10.1063/1.1533112
29.
MillarRFBrekhovskikhLM. Waves in layered media (L. M. Brekhovskikh). SIAM Rev1982; 24(2): 239–241. DOI: 10.1137/1024057
30.
WuPMuQWuX, et al.Acoustic absorbers at low frequency based on split-tube metamaterials. Phys Lett2019; 383(20): 2361–2366.
31.
WuXAu-YeungKYLiX, et al.High-efficiency ventilated metamaterial absorber at low frequency. Appl Phys Lett2018; 112(10): 103505. DOI: 10.1063/1.5025114
32.
MeiJMaGYangM, et al.Dark acoustic metamaterials as super absorbers for low-frequency sound. Nat Commun2012; 3(1): 756. DOI: 10.1038/ncomms1758
33.
MaGYangMXiaoS, et al.Acoustic metasurface with hybrid resonances. Nat Mater2014; 13(9): 873–878. DOI: 10.1038/nmat3994
34.
GeHYangMMaC, et al.Breaking the barriers: advances in acoustic functional materials. Natl Sci Rev2017; 5(2): 159–182. DOI: 10.1093/nsr/nwx154
MaGYangMXiaoS, et al.Acoustic metasurface with hybrid resonances. Nat Mater2014; 13(9): 873–878. DOI: 10.1038/nmat3994
37.
XieYWangWChenH, et al.Wavefront modulation and subwavelength diffractive acoustics with an acoustic metasurface. Nat Commun2014; 5(1): 5553. DOI: 10.1038/ncomms6553
38.
QiSLiYAssouarB. Acoustic focusing and energy confinement based on multilateral metasurfaces. Phys Rev App2017; 7(5): 054006. DOI: 10.1103/physrevapplied.7.054006
39.
YangZMeiJYangM, et al.Membrane-Type Acoustic metamaterial with negative dynamic mass. Phys Rev Lett2008; 101(20): 204301. DOI: 10.1103/physrevlett.101.204301
40.
NaifyCJChangCMMcKnightG, et al.Experimental evaluation of membrane type acoustic metamaterial arrays. J Acoust Soc Am2010; 128(4): 2429–2429. DOI: 10.1121/1.3508677
41.
SunLAu-YeungKYYangM, et al.Membrane-type resonator as an effective miniaturized tuned vibration mass damper. AIP Adv2016; 6(8): 085212. DOI: 10.1063/1.4961469
42.
LiuD-YYaoL-FZhaiX-M, et al.Diode-like asymmetric transmission of circularly polarized waves. Appl Phys A2014; 116(1): 9–13. DOI: 10.1007/s00339-014-8519-8
43.
JiGFangYZhouJ. Porous acoustic metamaterials in an inverted wedge shape. Extreme Mech Lett2020; 36: 100648. DOI: 10.1016/j.eml.2020.100648
44.
LewińskaMAvan DommelenJAWKouznetsovaVG, et al.Towards acoustic metafoams: the enhanced performance of a poroelastic material with local resonators. J Mech Phys Solid2019; 124: 189–205. DOI: 10.1016/j.jmps.2018.10.006
45.
GaoNTangLDengJ, et al.Design, fabrication and sound absorption test of composite porous metamaterial with embedding I-plates into porous polyurethane sponge. Appl Acoust2021; 175: 107845. DOI: 10.1016/j.apacoust.2020.107845
46.
LiuXDuanMLiuM, et al.Acoustic labyrinthine porous metamaterials for subwavelength low-frequency sound absorption. J Appl Phys2021; 129(19): 195103. DOI: 10.1063/5.0032045
47.
LewińskaMAvan DommelenJAWKouznetsovaVG, et al.Broadening the attenuation range of acoustic metafoams through graded microstructures. J Sound Vib2020; 483: 115472. DOI: 10.1016/j.jsv.2020.115472
48.
MagliacanoDOuisseMKhelifA, et al.Computation of dispersion diagrams for periodic porous materials modeled as equivalent fluids. Mech Syst Signal Process2020; 142: 106749. DOI: 10.1016/j.ymssp.2020.106749
49.
MagliacanoDAshaniSOuisseM, et al.Formulation and validation of the shift cell technique for acoustic applications of poro-elastic materials described by the Biot theory. Mech Syst Signal Process2021; 147: 107089. DOI: 10.1016/j.ymssp.2020.107089
50.
FabroAMengHChronopoulosD. Correlated disorder in rainbow metamaterials for vibration attenuation. Proc IME C J Mech Eng Sci2021; 235(14): 2610–2621.
51.
McGeeOJiangHQianF, et al.3D printed architected hollow sphere foams with low-frequency phononic band gaps. Addit Manuf2019; 30: 100842.
LiYAssouarBM. Acoustic metasurface-based perfect absorber with deep subwavelength thickness. Appl Phys Lett2016; 108(6): 063502. DOI: 10.1063/1.4941338
55.
WuZLiFZhangC. Band-gap analysis of a novel lattice with a hierarchical periodicity using the spectral element method. J Sound Vib2018; 421: 246–260. DOI: 10.1016/j.jsv.2018.02.009
56.
COMSOL. Multiphysics software for optimizing designs. COMSOL AB: Stockholm, Sweden, 2021. [Online]. Available: https://www.comsol.com/
57.
GuptaA. A review on sonic crystal, its applications and numerical analysis techniques. Acoust Phys2014; 60(2): 223–234. DOI: 10.1134/s1063771014020080
