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Advances in Acoustic Metamaterials
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Advances in Acoustic Metamaterials

A special issue of Materials (ISSN 1996-1944). This special issue belongs to the section "Materials Physics".

Deadline for manuscript submissions: closed (30 September 2021) | Viewed by 17349

Special Issue Editors

Dr. Marco Miniaci

E-Mail Website
Guest Editor
Institut d'électronique de microélectronique et de nanotechnologie (IEMN, UMR 8520) CNRS, France
Interests: phononic crystals; metamaterials; topological protection; nondestructive evaluation; bio-inspiration; seismic engineering
Special Issues, Collections and Topics in MDPI journals
Dr. Federico Bosia

E-Mail Website
Guest Editor
Department of Physics, University of Torino, Torino, Italy
Interests: mechanical modeling; wave dynamics; bioinspired materials

Special Issue Information

Dear Colleagues,

Architected periodic structures like phononic crystals and elastic metamaterials offer unprecedented opportunities for elastic wave manipulation, unachievable using traditional homogeneous materials. Since their introduction, these structures have been exploited to generate effects like frequency band-gaps, negative refraction, topological protection, non-reciprocal propagation, etc. In parallel, recent advances in material science and technology, including additive manufacturing, have allowed the practical realization of a huge variety of novel complex structures at various different length scales, leading to additional application opportunities in the field of wave control, focusing and collimation, environ-mental noise reduction, and even earthquake protection. The fast growth of the topic and increasing interest in the field from researchers with expertise in the areas of material science and beyond are the main reasons for this Special Issue on “Advances in Acoustic Metamaterials”. Contributions should focus on new achievements, both theoretical and experimental, relative to the dynamics of phononic crystals and metamaterials, related (but not limited) to effects such as negative refraction, stop-band filtering, cloaking, focusing, energy harvesting, topological states, etc.

The issue is intended to provide a platform for researchers working in the field to disseminate their ideas on the design and characterization of new configurations, highlighting novel dynamic phenomena and exploring additional promising applications. It should also stimulate a cross-fertilization between researchers of the field with other readers of the journal, providing the opportunity to find new potential research directions.

Dr. Marco Miniaci
Dr. Federico Bosia
Guest Editors

Manuscript Submission Information

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Keywords

  • Phononic crystals
  • Acoustic and Elastic Metamaterials
  • Waves and Vibrations
  • Frequency Bandgaps
  • Wave Control
  • Topological Insulators

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Published Papers (5 papers)

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Research

20 pages, 4368 KiB  
Article
2D Dynamic Directional Amplification (DDA) in Phononic Metamaterials
by Moris Kalderon, Andreas Paradeisiotis and Ioannis Antoniadis
Materials 2021, 14(9), 2302; https://doi.org/10.3390/ma14092302 - 29 Apr 2021
Cited by 11 | Viewed by 2365
Abstract
Phononic structures with unit cells exhibiting Bragg scattering and local resonance present unique wave propagation properties at wavelengths well below the regime corresponding to bandgap generation based on spatial periodicity. However, both mechanisms show certain constraints in designing systems with wide bandgaps in [...] Read more.
Phononic structures with unit cells exhibiting Bragg scattering and local resonance present unique wave propagation properties at wavelengths well below the regime corresponding to bandgap generation based on spatial periodicity. However, both mechanisms show certain constraints in designing systems with wide bandgaps in the low-frequency range. To face the main practical challenges encountered in such cases, including heavy oscillating masses, a simple dynamic directional amplification (DDA) mechanism is proposed as the base of the phononic lattice. This amplifier is designed to present the same mass and use the same damping element as a reference two-dimensional (2D) phononic metamaterial. Thus, no increase in the structure mass or the viscous damping is needed. The proposed DDA can be realized by imposing kinematic constraints to the structure’s degrees of freedom (DoF), improving inertia and damping on the desired direction of motion. Analysis of the 2D lattice via Bloch’s theory is performed, and the corresponding dispersion relations are derived. The numerical results of an indicative case study show significant improvements and advantages over a conventional phononic structure, such as broader bandgaps and increased damping ratio. Finally, a conceptual design indicates the usage of the concept in potential applications, such as mechanical filters, sound and vibration isolators, and acoustic waveguides. Full article
(This article belongs to the Special Issue Advances in Acoustic Metamaterials)
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28 pages, 7535 KiB  
Article
Stochastic Model for Energy Propagation in Disordered Granular Chains
by Kianoosh Taghizadeh, Rohit Kumar Shrivastava and Stefan Luding
Materials 2021, 14(7), 1815; https://doi.org/10.3390/ma14071815 - 6 Apr 2021
Cited by 6 | Viewed by 2626
Abstract
Energy transfer is one of the essentials of mechanical wave propagation (along with momentum transport). Here, it is studied in disordered one-dimensional model systems mimicking force-chains in real systems. The pre-stressed random masses (other types of disorder lead to qualitatively similar behavior) interact [...] Read more.
Energy transfer is one of the essentials of mechanical wave propagation (along with momentum transport). Here, it is studied in disordered one-dimensional model systems mimicking force-chains in real systems. The pre-stressed random masses (other types of disorder lead to qualitatively similar behavior) interact through (linearized) Hertzian repulsive forces, which allows solving the deterministic problem analytically. The main goal, a simpler, faster stochastic model for energy propagation, is presented in the second part, after the basic equations are re-visited and the phenomenology of pulse propagation in disordered granular chains is reviewed. First, the propagation of energy in space is studied. With increasing disorder (quantified by the standard deviation of the random mass distribution), the attenuation of pulsed signals increases, transiting from ballistic propagation (in ordered systems) towards diffusive-like characteristics, due to energy localization at the source. Second, the evolution of energy in time by transfer across wavenumbers is examined, using the standing wave initial conditions of all wavenumbers. Again, the decay of energy (both the rate and amount) increases with disorder, as well as with the wavenumber. The dispersive ballistic transport in ordered systems transits to low-pass filtering, due to disorder, where localization of energy occurs at the lowest masses in the chain. Instead of dealing with the too many degrees of freedom or only with the lowest of all the many eigenmodes of the system, we propose a stochastic master equation approach with reduced complexity, where all frequencies/energies are grouped into bands. The mean field stochastic model, the matrix of energy-transfer probabilities between bands, is calibrated from the deterministic analytical solutions by ensemble averaging various band-to-band transfer situations for short times, as well as considering the basis energy levels (decaying with the wavenumber increasing) that are not transferred. Finally, the propagation of energy in the wavenumber space at transient times validates the stochastic model, suggesting applications in wave analysis for non-destructive testing, underground resource exploration, etc. Full article
(This article belongs to the Special Issue Advances in Acoustic Metamaterials)
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9 pages, 841 KiB  
Article
Exponentially Complex “Classically Entangled” States in Arrays of One-Dimensional Nonlinear Elastic Waveguides
by P.A. Deymier, K. Runge, M. A. Hasan and L. Calderin
Materials 2019, 12(21), 3553; https://doi.org/10.3390/ma12213553 - 29 Oct 2019
Cited by 7 | Viewed by 2224
Abstract
We demonstrate theoretically, using multiple-time-scale perturbation theory, the existence of nonseparable superpositions of elastic waves in an externally driven elastic system composed of three one-dimensional elastic wave guides coupled via nonlinear forces. The nonseparable states span a Hilbert space with exponential complexity. The [...] Read more.
We demonstrate theoretically, using multiple-time-scale perturbation theory, the existence of nonseparable superpositions of elastic waves in an externally driven elastic system composed of three one-dimensional elastic wave guides coupled via nonlinear forces. The nonseparable states span a Hilbert space with exponential complexity. The amplitudes appearing in the nonseparable superposition of elastic states are complex quantities dependent on the frequency of the external driver. By tuning these complex amplitudes, we can navigate the state’s Hilbert space. This nonlinear elastic system is analogous to a two-partite two-level quantum system. Full article
(This article belongs to the Special Issue Advances in Acoustic Metamaterials)
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25 pages, 11295 KiB  
Article
Sound Insulation and Reflection Properties of Sonic Crystal Barrier Based on Micro-Perforated Cylinders
by Stefan M. Dimitrijević, Víctor M. García-Chocano, Francisco Cervera, Emelie Roth and José Sánchez-Dehesa
Materials 2019, 12(17), 2806; https://doi.org/10.3390/ma12172806 - 31 Aug 2019
Cited by 17 | Viewed by 5732
Abstract
A sonic crystal barrier, consisting of empty micro-perforated cylindrical shells, was built on the campus at the Universitat Politècnica de València in 2011 and characterised by using a non-standardised measurement technique. In this paper, the sonic crystal barrier, upgraded with rubber crumb inside [...] Read more.
A sonic crystal barrier, consisting of empty micro-perforated cylindrical shells, was built on the campus at the Universitat Politècnica de València in 2011 and characterised by using a non-standardised measurement technique. In this paper, the sonic crystal barrier, upgraded with rubber crumb inside the micro-perforated cylindrical shells, was characterised by using standardised measurement techniques according to EN 1793-5 and EN 1793-6. As a result of the characterisation, sound insulation properties of the barrier were shown to be a combination of the absorptive properties of the individual building units and the reflective properties of their periodic distribution. In addition, its performance was compared with a similar barrier consisting of rigid polyvinyl chloride (PVC) cylinders, which was recently characterised using the same standardised techniques. In comparison with the barrier based on PVC cylinders, the barrier investigated here produced a broadband enhancement of the sound insulation and lower reflection indices in the targeted frequency range. It was also shown that the influence of leakage under the barrier and the width of the temporal window on sound insulation was negligible. While EN 1793-5 and 1793-6 allow a direct comparison of the performance of different noise barriers, the applicability to this new type of barriers requires further investigation. Full article
(This article belongs to the Special Issue Advances in Acoustic Metamaterials)
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11 pages, 3291 KiB  
Article
Mutual Inductance and Coupling Effects in Acoustic Resonant Unit Cells
by Changlin Ding, Yibao Dong, Kun Song, Shilong Zhai, Yuanbo Wang and Xiaopeng Zhao
Materials 2019, 12(9), 1558; https://doi.org/10.3390/ma12091558 - 13 May 2019
Cited by 10 | Viewed by 3304
Abstract
We present an acoustic metamaterial (AMM) consisting of a dumbbell-shaped split hollow sphere (DSSHS). Transmission results of experiments and simulations both presented a transmitted dip at the resonant frequency of AMM, which demonstrated its negative modulus property. As the two split holes in [...] Read more.
We present an acoustic metamaterial (AMM) consisting of a dumbbell-shaped split hollow sphere (DSSHS). Transmission results of experiments and simulations both presented a transmitted dip at the resonant frequency of AMM, which demonstrated its negative modulus property. As the two split holes in the DSSHS had strong coupling effects for the acoustic medium in the local region, the dip could be simply manipulated by tuning the distance between the split holes. When the distance was large enough, the mutual inductance tended to disappear, and a weak interaction existed in the structure. According to the property of weak interaction, a multiband AMM and a broadband AMM with a negative modulus could be achieved by arraying DSSHS clusters with different distances. Furthermore, mutual inductance and coupling in DSSHS reinforced the local resonance, and this kind of cell could be used to design the acoustic metasurface to abnormally control the refractive waves. Full article
(This article belongs to the Special Issue Advances in Acoustic Metamaterials)
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