A Review of Acoustic Metamaterials and Phononic Crystals
Open accessAbstract
As a new kind of artificial material developed in recent decades, metamaterials exhibit novel performance and the promising application potentials in the field of practical engineering compared with the natural materials. Acoustic metamaterials and phononic crystals have some extraordinary physical properties, effective negative parameters, band gaps, negative refraction, etc., extending the acoustic properties of existing materials. The special physical properties have attracted the attention of researchers, and great progress has been made in engineering applications. This article summarizes the research on acoustic metamaterials and phononic crystals in recent decades, briefly introduces some representative studies, including equivalent acoustic parameters and extraordinary characteristics of metamaterials, explains acoustic metamaterial design methods, and summarizes the technical bottlenecks and application prospects.
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Irregular hole placement is not common.
“However, irregular hole placement is not common [2,3].”
From Sustainable Perforated Acoustic Wooden Panels Designed Using Third-Degree-of-Freedom Bezier Curves with Broadband Sound Absorption Coefficients (2023) · cites this paper as [3]
Section 4.5 describes periodic inclusions, and the references list periodic structures, but neither addresses how common irregular hole placement is. Searches for “irregular hole placement,” “holes,” and nonperiodic arrangements found no passage establishing the claimed frequency. (LLM, conf=0.74)
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Bavencoffe, M., Morvan, B., Hladky, A.-C., et al. (2012) · Ultrasonics · doi:10.1016/j.ultras.2012.09.009 · Cited by 12 · cited 2× · see citing works
“(a) avenumber-frequency representation of the signals measured under the grating for an excitation frequency b longing to the ap; (b) Amplitude versus wav number at fr q ency f = 396 kHz [75].”
BackgroundSound insulation performance of thin-film acoustic metamaterials based on piezoelectric materials
He, Z.-H., Zhao, J.-B., Hong, Y., et al. (2019) · Acta Physica Sinica · doi:10.7498/aps.68.20190245 · Cited by 11 · cited 2× · see citing works
“[47] designed a new type of thin film acoustic metamaterial by embedding a piezoelectric mass connected to an external circuit into a tensioned elastic membrane and fixed on a metal frame (see Figure 11).”
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Inverse Doppler Effects in Pipe Instruments
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“[73] reported anomalous Doppler effects found in two commonly used wind instruments based on flute-type acoustic metamaterials.”
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Recent progress in acoustic metamaterials and active piezoelectric acoustic metamaterials - A review
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Review of thermal transport in phononic crystals
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Design of tunable acoustic metamaterials with periodic piezoelectric microstructure
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Topology optimization of phononic crystal with prescribed band gaps
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Revealing defect-mode-enabled energy localization mechanisms of a one-dimensional phononic crystal
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Metasurface absorber for ultra-broadband sound via over-damped modes coupling
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Additively manufactured metamaterials for acoustic absorption: a review
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Architected acoustic metamaterials: An integrated design perspective
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Advances in suppression of structural vibration and sound radiation by flexural wave manipulation
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“PnCs, a new type of advanced functional structure, made up of a periodic array of repetitive unit cells [15], enable the realization of extraordinary wave phenomena (e.”
BackgroundDesign, Manufacturing, and Acoustical Analysis of a Helmholtz Resonator-Based Metamaterial Plate
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L-shape triple defects in a phononic crystal for broadband piezoelectric energy harvesting
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Vibro-acoustic control of a programmable meta-shell with digital piezoelectric shunting
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Recent advances in nonlinear vibration metamaterials
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Towards metamaterial rods with amplitude-dependent band gaps: A superelastic alloy-based approach
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Machine learning in solid mechanics: Application to acoustic metamaterial design
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Negative refraction of elastic waves on a metamaterial with anisotropic local resonance
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Combinational design of linear and nonlinear elastic metamaterials
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“This study addresses that gap by investigating photo-thermoelastic wave propagation in porous semiconductor metamaterials using generalized thermoelasticity theories [1, 2].”
Research on Low-Frequency Noise Control of Automobiles Based on Acoustic Metamaterial
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“In 2001, BAZ introduced active control to study the transmission characteristics of elastic waves in periodic beams with two materials alternately arranged, gave the corresponding simplified theoretical analysis model of the spring–mass system, explained the active adjustment method of passband and forbidden band, and…”
MethodTime-reversal technique for pipeline defect detection
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Phononic crystal-based acoustic demultiplexer design via bandgap-passband topology optimization
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Broadband and multimode attenuation in Duffing- and NES-type piezoelectric metastructures
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Tuning of topological interface modes in an elastic beam array system with inerters
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“Existence of topologically protected interface modes in PCs is a unique property that can be applied to solve many engineering problems in wave localization and isolation [13], control of vibrations, waveguiding [39], acoustic focusing and cloaking [40], energy harvesting [41] etc.”
BackgroundLow-Frequency Ultrawide Band Gap Study of Symmetric Conical Scatterer Phononic Crystal
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“Vibration and noise are prevalent in daily life, affecting the longevity of vehicles, ships, and other engineering machinery [1, 2].”
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Jia, X., Jin, G., & Ye, T. (2024) · Journal of Marine Science and Application · doi:10.1007/s11804-024-00462-x · Cited by 29 · see citing works
“A review of the development his ‐ tory of acoustic metamaterials and phononic crystals in recent decades and the introduction of some representative studies, including the calculation of acoustic parameters and the design methods of acoustic metamaterials, were performed by Liu et al. (2020).”
Miniature magneto-ultrasonic machines for wireless robotic sensing and manipulation
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Enhanced sensitivity of resonant liquid sensors by phononic crystals
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Fractal acoustic metamaterials with near-zero index and negative properties
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Wettability and sound absorption of graphene oxide doped polymer hydrogel
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A review on additive manufacturing of wave controlling metamaterial
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Multifunctional Integrated Underwater Sound Absorption Materials: A Review
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“In the case of natural materials, material parameters such as mass density, Young’s modulus, and Poisson’s ratio are positive [54].”
BackgroundA wideband acoustic cloak based on radar cross section reduction and sound absorption
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Buckling-regulated bandgaps of soft metamaterials with chiral hierarchical microstructure
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Metahouse: Noise‐Insulating Chamber Based on Periodic Structures
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“Different methods of cloaking have been proposed, including the use of inhomogeneous anisotropic acoustic metamaterials with extraordinary parameters based on coordinate transformation [14,15], utilizing sonic crystals or artificial microstructures composed of subwavelength resonant inclusions [14,16], exploiting nonr…”
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Passive Acoustic Metamaterials for Low Frequencies—Theories, Types, Testing, and Future Directions
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Wave amplitude decay driven by anharmonic potential in nonlinear mass-in-mass systems
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Enhanced ultrasonic wave generation using energy-localized behaviors of phononic crystals
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Characteristics of Acoustic Metamaterials
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Active control of the dynamic density of acoustic metamaterials
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“Phononic crystals represent a novel structural concept and consist of periodic arrangements of repeating cells [11].”
Influence of thermal deformations on sound absorption of three-dimensional printed metamaterials
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A method for eliminating local modes caused by isolated structures in dynamic topology optimization
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Mechanical Properties of Re-Entrant Hybrid Honeycomb Structures for Morphing Wings
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An acoustic absorbing metamaterial with multi-Helmholtz resonators at low-frequency underwater
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Seismic Composite Metamaterial: A Review
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“Periodic structures, such as an array of periodic barriers and in-filled trenches, have the ability to enhance elastic wave absorption, thereby enhancing the performance of applications such as seismic wave attenuation, efficiency, and absorbing interfaces [90].”
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Sr2+ doped CsPbBrI2 perovskite nanocrystals coated with ZrO2 for applications as white LEDs
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“All samples exhibit prominent diffraction peaks corresponding to the cubic perovskite structure (PDF#42–1246) [38].”
Novel hybrid-controlled graded metamaterial beam for bandgap tuning and wave attenuation
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Acoustic metamaterials with zero-index behaviors and sound attenuation
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Innovations in metamaterial and metasurface antenna design: The role of deep learning
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Negative-Inertia Converters: Devices Manifesting Negative Mass and Negative Moment of Inertia
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A review of piezoelectric metamaterials for underwater equipment
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Phononic-Crystal-Based SAW Magnetic-Field Sensors
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Rayleigh Wave Attenuation by a Nonlinear Metasurface with Both Vertical and Horizontal Resonators
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Nonlinear Ultrasonic Crack Detection Based on 3D-Printed Phononic Crystal Filters
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“achieved by natural materials [15], [16].”
Acoustic cloaking design based on penetration manipulation with combination acoustic metamaterials
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Phase change enabled high bandgap tunability in graphene-reinforced phononic crystals
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Theoretical and Experimental Studies on Pyroshock Attenuation via Periodic Rods
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Investigation on vibration properties of 3D printed lattice structures filled with tin–bismuth alloy
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Acoustic propagation through a duct metamaterial attached with periodic multi-resonant cavities
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“The idea of acoustic metamaterial became popular in the past few decades (Liu et al., 2020).”
BackgroundSelf-citationAcoustic manipulation of fractal metamaterials with negative properties and near-zero densities
Wu, G., Ke, Y., Zhang, L., et al. (2021) · Applied Physics Express · doi:10.35848/1882-0786/ac4301 · Cited by 13 · see citing works
Collision enhanced hyper-damping in nonlinear elastic metamaterial
Yu, M., Fang, X., Yu, D., et al. (2022) · Chinese Physics B · doi:10.1088/1674-1056/ac48fc · Cited by 13 · see citing works
Transition Waves in One-Dimensional Periodic Bistable Mass-Spring Chains
Chen, L., Xu, A., Lou, J., et al. (2022) · International Journal of Structural Stability and Dynamics · doi:10.1142/s0219455422501000 · Cited by 13 · see citing works
Experimental Analysis and Simulation of a Porous Absorbing Layer for Noise Barriers
Sousa, L., Pereira, L., González, D. M., et al. (2023) · Applied Sciences · doi:10.3390/app13042638 · Cited by 13 · see citing works
Multifield nested metafilters for wave propagation control
Fantoni, F., Bosco, E., & Bacigalupo, A. (2022) · Extreme Mechanics Letters · doi:10.1016/j.eml.2022.101885 · Cited by 13 · see citing works
Hosseini, S. M., Xie, L., & Zhang, C. (2025) · Journal of Vibration Engineering & Technologies · doi:10.1007/s42417-024-01677-6 · Cited by 12 · see citing works
“The band-gap characteristics of metamaterials provide a good possibility for the vibration and noise reduction [1–3].”
Exact strain gradient modelling of prestressed nonlocal diatomic lattice metamaterials
Wang, B., Liu, J., Soh, A. K., et al. (2022) · Mechanics of Advanced Materials and Structures · doi:10.1080/15376494.2022.2062629 · Cited by 12 · see citing works
Self-citation
- Authors
- Liu, J., Guo, H., & Wang, T.
- Affiliations
- Huazhong Agricultural University (CN)
- Wuhan Ship Development & Design Institute (CN)
- Collaborative Innovation Centre for Advanced Ship and Deep-Sea Exploration (CN)
- Corresponding author
- Wang, Ting
- ORCID
- Venue
- Crystals
- Publisher
- MDPI AG
- Published
- 2020-04-15
- Volume
- 10
- Issue
- 4
- Pages
- 305
- ISSN
- 2073-4352 (ISSN-L)
- OpenAlex
- W3017256941
- Semantic Scholar
- bb4c6aa175db8093ed27d634b3f181f6f7ac9c33
- Cited by
- 261
- References
- 85
- Citations by year
- 2026: 37 · 2025: 47 · 2024: 43 · 2023: 47 · 2022: 50 · 2021: 35 · 2020: 2
- FWCI
- 10.52
- Type
- journal article
- Language
- en
- Open access
- gold
- dx.doi.org
- Licence
- Locations
- Crystals (publishedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Acoustic Wave Phenomena Research
- Physical Sciences › Engineering › Mechanical Engineering › Cellular and Composite Structures
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Keywords
- acoustic metamaterials, phononic crystals, band gap, negative refraction, acoustic wave propagation
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