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Applied Sciences
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Advances in Elastic Micro-Structured Systems and Metamaterials
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Advances in Elastic Micro-Structured Systems and Metamaterials

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Acoustics and Vibrations".

Deadline for manuscript submissions: closed (30 August 2022) | Viewed by 14453

Special Issue Editor

Dr. Giorgio Carta

E-Mail Website
Guest Editor
Department of Mechanical, Chemical and Materials Engineering, University of Cagliari, Cagliari, Italy
Interests: elastic waves; micro-structured periodic media; metamaterials; random systems; mechanics of structures and solids; structural engineering; seismic design; fracture mechanics; plasticity; thermodynamics; dispersion analysis; asymptotic techniques; numerical methods

Special Issue Information

Dear Colleagues,

The interest in elastic media with engineered micro-structures has recently exploded due to the unique characteristics that can be achieved by a clever arrangement of the micro-components. Artificially designed composite materials are generally referred to as metamaterials, since they possess extraordinary properties that can rarely be found in nature. The concept of metamaterials was firstly proposed for manipulating electromagnetic waves and later developed in optics, acoustics, and elasticity. The realm of applications for elastic micro-structured systems is gradually expanding, ranging from vibration attenuation and seismic protection to wave guiding, cloaking and superlensing.

The aim of this Special Issue is to gather novel concepts and advanced results in the design and implementation of elastic micro-structured media exhibiting unconventional properties. The focus is on dynamic phenomena associated with propagation of elastic waves in discrete and continuous periodic structures. Special attention is also given to chiral systems and auxetic materials.

We invite prospective authors to submit high-quality papers discussing current cutting-edge research topics, such as wave polarization and localization, filtering, eigenfrequency manipulation, generation of negative effective material parameters, dynamic crack propagation, and topological protection. Analytical, numerical, and experimental works are welcome.

Dr. Giorgio Carta
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Micro-structured systems
  • Elastic metamaterials
  • Waveguides
  • Localization
  • Filtering properties
  • Vibration control
  • Topological protection
  • Dynamic fracture
  • Chiral structures
  • Auxetic materials

Published Papers (4 papers)

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Research

21 pages, 1599 KiB  
Article
Filtering Properties of Discrete and Continuous Elastic Systems in Series and Parallel
by Silvia Sulis, Anar Rakhimzhanova and Michele Brun
Appl. Sci. 2022, 12(8), 3832; https://doi.org/10.3390/app12083832 - 11 Apr 2022
Viewed by 1311
Abstract
Filtering properties and local energy distribution in different classes of periodic micro-structured elastic systems are analysed in this work. Out-of-plane wave propagation is considered in continuous and discrete elastic systems arranged in series and parallel. Filtering properties are determined from the analysis of [...] Read more.
Filtering properties and local energy distribution in different classes of periodic micro-structured elastic systems are analysed in this work. Out-of-plane wave propagation is considered in continuous and discrete elastic systems arranged in series and parallel. Filtering properties are determined from the analysis of dispersion diagrams and energy distribution within different phases in the representative unit cell. These are determined analytically by implementing a transfer matrix formalism. The analysis given in the work indicates quantitatively how to couple phases, having discrete and continuous nature, in order to tune wave propagation and energy localisation. Full article
(This article belongs to the Special Issue Advances in Elastic Micro-Structured Systems and Metamaterials)
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15 pages, 8767 KiB  
Article
Trapped Modes and Negative Refraction in a Locally Resonant Metamaterial: Transient Insights into Manufacturing Bounds for Ultrasonic Applications
by Domenico Tallarico and Stewart G. Haslinger
Appl. Sci. 2021, 11(16), 7576; https://doi.org/10.3390/app11167576 - 18 Aug 2021
Cited by 2 | Viewed by 1363
Abstract
The transient scattering of in-plane elastic waves from a finite-sized periodic structure, comprising a regular grid of Swiss-cross holes arranged according to a square lattice, is considered. The theoretical and numerical modelling focuses on the unexplored ultrasonic frequency regime, well beyond the first, [...] Read more.
The transient scattering of in-plane elastic waves from a finite-sized periodic structure, comprising a regular grid of Swiss-cross holes arranged according to a square lattice, is considered. The theoretical and numerical modelling focuses on the unexplored ultrasonic frequency regime, well beyond the first, wide, locally resonant band-gap of the structure. Dispersive properties of the periodic array, determined by Bloch–Floquet analysis, are used to identify candidates for high-fidelity GPU-accelerated transient scattering simulations. Several unusual wave phenomena are identified from the simulations, including negative refraction, focusing, partial cloaking, and wave trapping. The transient finite element modelling framework offers insights on the lifetimes of such phenomena for potential practical applications. In addition, nonideal counterparts with rough edges are modelled using characteristic statistical parameters commonly observed in additive manufacturing. The analysis shows that the identified wave effects appear likely to be robust with respect to potential manufacturing uncertainties in future studies. Full article
(This article belongs to the Special Issue Advances in Elastic Micro-Structured Systems and Metamaterials)
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14 pages, 1470 KiB  
Article
Scattering Reduction and Resonant Trapping of Flexural Waves: Two Rings to Rule Them
by Alexander B. Movchan, Ross C. McPhedran and Giorgio Carta
Appl. Sci. 2021, 11(10), 4462; https://doi.org/10.3390/app11104462 - 14 May 2021
Cited by 3 | Viewed by 1440
Abstract
In this paper, we discuss two problems concerning scattering and localisation of flexural waves in structured elastic plates. Firstly, we compare the scattering amplitudes of waves in a thin plate, generated by a point source, due to a single mass and to a [...] Read more.
In this paper, we discuss two problems concerning scattering and localisation of flexural waves in structured elastic plates. Firstly, we compare the scattering amplitudes of waves in a thin plate, generated by a point source, due to a single mass and to a large number of smaller masses, having the same equivalent mass and located around a circle. We show that in the second case, the scattering can be reduced, in particular in the medium- and high-frequency regimes. Secondly, we develop a homogenised model for a double-ring cluster of spring-mass resonators, connected to an elastic thin plate. We determine the conditions for which the plate exhibits vibration modes trapped between the two rings. Further, we show that the frequencies of the localised modes can be tuned by varying the geometry of the two rings and the characteristics of the resonators. The analytical results are corroborated by numerical simulations performed with independent finite element models. Full article
(This article belongs to the Special Issue Advances in Elastic Micro-Structured Systems and Metamaterials)
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14 pages, 4375 KiB  
Article
Numerical Modelling and Optimization of Two-Dimensional Phononic Band Gaps in Elastic Metamaterials with Square Inclusions
by Alya Alhammadi, Jin-You Lu, Mahra Almheiri, Fatima Alzaabi, Zineb Matouk, Mohamed Al Teneiji, Rashid K. Abu Al-Rub, Vincenzo Giannini and Dong-Wook Lee
Appl. Sci. 2021, 11(7), 3124; https://doi.org/10.3390/app11073124 - 1 Apr 2021
Cited by 4 | Viewed by 9496
Abstract
A numerical simulation study on elastic wave propagation of a phononic composite structure consisting of epoxy and tungsten carbide is presented for low-frequency elastic wave attenuation applications. The calculated dispersion curves of the epoxy/tungsten carbide composite show that the propagation of elastic waves [...] Read more.
A numerical simulation study on elastic wave propagation of a phononic composite structure consisting of epoxy and tungsten carbide is presented for low-frequency elastic wave attenuation applications. The calculated dispersion curves of the epoxy/tungsten carbide composite show that the propagation of elastic waves is prohibited inside the periodic structure over a frequency range. To achieve a wide bandgap, the elastic composite structure can be optimized by changing its dimensions and arrangement, including size, number, and rotation angle of square inclusions. The simulation results show that increasing the number of inclusions and the filling fraction of the unit cell significantly broaden the phononic bandgap compared to other geometric tunings. Additionally, a nonmonotonic relationship between the bandwidth and filling fraction of the composite was found, and this relationship results from spacing among inclusions and inclusion sizes causing different effects on Bragg scatterings and localized resonances of elastic waves. Moreover, the calculated transmission spectra of the epoxy/tungsten carbide composite structure verify its low-frequency bandgap behavior. Full article
(This article belongs to the Special Issue Advances in Elastic Micro-Structured Systems and Metamaterials)
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