Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
3.6
2.7
Journals
Crystals
Special Issues
Emerging Trends in Phononic Crystals
share announcement

Emerging Trends in Phononic Crystals

A special issue of Crystals (ISSN 2073-4352). This special issue belongs to the section "Crystal Engineering".

Deadline for manuscript submissions: closed (1 November 2020)

Special Issue Editors

Prof. Dr. Mostafa Nouh

E-Mail Website
Guest Editor
Department of Mechanical and Aerospace Engineering, University at Buffalo (SUNY) Buffalo, NY 14260, USA
Interests: Acoustics and vibrations with applications in phononic crystals and metamaterials; thermoacoustic energy generation; and non-reciprocal structures and lattices.
Prof. Dr. William Parnell

E-Mail Website
Guest Editor
Professor of Applied Mathematics and EPSRC research fellow, School of Mathematics, University of Manchester, Manchester M13 9PL, UK
Interests: Waves in complex continua; solid mechanics; acoustics, elasticity and elastodynamics; homogenization and micromechanics
Prof. Dr. Mahmoud I. Hussein

E-Mail Website
Guest Editor
Ann and H.J. Smead Department of Aerospace Engineering Sciences, University of Colorado Boulder Boulder, CO 80303, USA
Interests: theoretical, computational and experimental dynamics of materials and structures; dispersive, dissipative and nonlinear dynamics; periodic systems, disordered systems; phononics including phononic crystals and metamaterials; vibrations and wave propagation, thermal transport in crystals, fluid-structure interaction, discrete dislocation dynamics; multiscale methods, model reduction methods, design and optimization

Special Issue Information

Dear Colleague,

Over the past three decades, the study of phononic crystals (PCs) has rapidly evolved into a mature research field offering a versatile platform for the creation of materials with properties that go well beyond what is naturally permissible. Ranging from structural lattices with unique inherent geometries to periodic media with locally resonant substructures, engineered phononic crystals have registered new milestones across varying length and time scales. Example avenues of research include vibroacoustic wave attenuation and guidance, acoustic/elastic cloaking and superlensing, and thermal conductivity reduction. Most recently, a remarkable spurt of seminal efforts have given rise to new trends in PCs that exploit dispersion topology, chirality, and spatial symmetry in both physical and reciprocal space. In tandem, new innovations in lattice design that benefit from auxetic microstructures, nonlinearities, as well as unique folding mechanisms have demonstrated an ability to intentionally bias the mechanical response and fundamentally change the way materials interact with static forces and incident elastic waves. Despite the promising start of these new thrusts in PC research, significant work is needed to further understand the underlying physics of these novel material systems and bring current proof-of-concept realizations a step closer to viable applications of a broad interest in engineering. This Special Issue of Crystals shall assemble contributions that explore, integrate, and shed new light and perspectives onto such emerging trends—to further push the boundaries of what is naturally conceivable in the realm of acoustics, mechanics, and nanoscale thermal sciences.

Prof. Dr. Mostafa Nouh
Prof. Dr. William Parnell
Prof. Dr. Mahmoud I. Hussein
Guest Editors

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. Crystals is an international peer-reviewed open access monthly 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 2600 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

  • Topological phononics; topology of band diagrams; spatial inversion; mirror symmetry
  • Time-periodic PCs; temporal material modulations; acoustic non-reciprocity
  • Auxetic lattices; superlattices; negative Poisson’s Ratio materials
  • Periodic locally resonant metamaterials
  • Damped/nonlinear PCs

Published Papers (8 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Editorial

Jump to: Research

2 pages, 164 KiB  
Editorial
Editorial for the Special Issue on “Emerging Trends in Phononic Crystals”
by Mostafa Nouh, William J. Parnell and Mahmoud I. Hussein
Crystals 2021, 11(8), 911; https://0-doi-org.brum.beds.ac.uk/10.3390/cryst11080911 - 03 Aug 2021
Viewed by 1210
Abstract
Over the past three decades, the study of phononic crystals (PCs) has rapidly evolved into a prominent research field offering a versatile platform for the creation of structured materials with salient properties [...] Full article
(This article belongs to the Special Issue Emerging Trends in Phononic Crystals)

Research

Jump to: Editorial

12 pages, 4449 KiB  
Article
Control of the Swell by an Array of Helmholtz Resonators
by Léo-Paul Euvé, Natalia Piesniewska, Agnès Maurel, Kim Pham, Philippe Petitjeans and Vincent Pagneux
Crystals 2021, 11(5), 520; https://0-doi-org.brum.beds.ac.uk/10.3390/cryst11050520 - 07 May 2021
Cited by 4 | Viewed by 2126
Abstract
We present a theoretical and experimental study of a resonator of the Helmholtz type for the control of the swell. An experimental demonstration of the shielding effect by a belt made of evenly distributed resonators is given. We then provide in-depth analysis of [...] Read more.
We present a theoretical and experimental study of a resonator of the Helmholtz type for the control of the swell. An experimental demonstration of the shielding effect by a belt made of evenly distributed resonators is given. We then provide in-depth analysis of the Fano resonance resulting from the interference between the dock scattering (the background) and the resonant cavity scattering. This is done thanks to space–time resolved experiments which provides the complex-valued scattering coefficients and amplitude within the resonator. We provide a one-dimensional model derived in the shallow water regime owing to asymptotic analysis. The model contains the two ingredients of the Fano resonance and allows us to exhibit the damping due to leakage. When adding heuristically the damping due to losses, it reproduces the main features of the resonance observed experimentally. Full article
(This article belongs to the Special Issue Emerging Trends in Phononic Crystals)
►▼ Show Figures

Figure 1

10 pages, 912 KiB  
Article
Non-Reciprocal Supratransmission in Mechanical Lattices with Non-Local Feedback Control Interactions
by Jack E. Pechac and Michael J. Frazier
Crystals 2021, 11(2), 94; https://0-doi-org.brum.beds.ac.uk/10.3390/cryst11020094 - 22 Jan 2021
Cited by 12 | Viewed by 1801
Abstract
We numerically investigate the supratransmission phenomenon in an active nonlinear system modeled by the 1D/2D discrete sine-Gordon equation with non-local feedback. While, at a given frequency, the typical passive system exhibits a single amplitude threshold marking the onset of the phenomenon, we show [...] Read more.
We numerically investigate the supratransmission phenomenon in an active nonlinear system modeled by the 1D/2D discrete sine-Gordon equation with non-local feedback. While, at a given frequency, the typical passive system exhibits a single amplitude threshold marking the onset of the phenomenon, we show that the inclusion of non-local feedback manifests additional thresholds that depend upon the specific boundary from which supratransmission is stimulated, realizing asymmetric (i.e., non-reciprocal) dynamics. The results illustrate a new means of controlling nonlinear wave propagation and energy transport for, e.g., signal amplification and mechanical logic. Full article
(This article belongs to the Special Issue Emerging Trends in Phononic Crystals)
►▼ Show Figures

Figure 1

26 pages, 10517 KiB  
Article
“Fuzzy Band Gaps”: A Physically Motivated Indicator of Bloch Wave Evanescence in Phononic Systems
by Connor D. Pierce and Kathryn H. Matlack
Crystals 2021, 11(1), 66; https://0-doi-org.brum.beds.ac.uk/10.3390/cryst11010066 - 15 Jan 2021
Cited by 2 | Viewed by 2349
Abstract
Phononic crystals (PCs) have been widely reported to exhibit band gaps, which for non-dissipative systems are well defined from the dispersion relation as a frequency range in which no propagating (i.e., non-decaying) wave modes exist. However, the notion of a band gap is [...] Read more.
Phononic crystals (PCs) have been widely reported to exhibit band gaps, which for non-dissipative systems are well defined from the dispersion relation as a frequency range in which no propagating (i.e., non-decaying) wave modes exist. However, the notion of a band gap is less clear in dissipative systems, as all wave modes exhibit attenuation. Various measures have been proposed to quantify the “evanescence” of frequency ranges and/or wave propagation directions, but these measures are not based on measurable physical quantities. Furthermore, in finite systems created by truncating a PC, wave propagation is strongly attenuated but not completely forbidden, and a quantitative measure that predicts wave transmission in a finite PC from the infinite dispersion relation is elusive. In this paper, we propose an “evanescence indicator” for PCs with 1D periodicity that relates the decay component of the Bloch wavevector to the transmitted wave amplitude through a finite PC. When plotted over a frequency range of interest, this indicator reveals frequency regions of strongly attenuated wave propagation, which are dubbed “fuzzy band gaps” due to the smooth (rather than abrupt) transition between evanescent and propagating wave characteristics. The indicator is capable of identifying polarized fuzzy band gaps, including fuzzy band gaps which exists with respect to “hybrid” polarizations which consist of multiple simultaneous polarizations. We validate the indicator using simulations and experiments of wave transmission through highly viscoelastic and finite phononic crystals. Full article
(This article belongs to the Special Issue Emerging Trends in Phononic Crystals)
►▼ Show Figures

Figure 1

18 pages, 21908 KiB  
Article
Dynamics of Quasiperiodic Beams
by Mohit Gupta and Massimo Ruzzene
Crystals 2020, 10(12), 1144; https://0-doi-org.brum.beds.ac.uk/10.3390/cryst10121144 - 16 Dec 2020
Cited by 14 | Viewed by 3555
Abstract
Quasiperiodic metastrucures are characterized by edge localized modes of topological nature, which can be of significant technological interest. We here investigate such topological modes for stiffened and sandwich beams, which can be employed as structural members with inherent vibration localization capabilities. Quasiperiodicity is [...] Read more.
Quasiperiodic metastrucures are characterized by edge localized modes of topological nature, which can be of significant technological interest. We here investigate such topological modes for stiffened and sandwich beams, which can be employed as structural members with inherent vibration localization capabilities. Quasiperiodicity is achieved by altering the geometric properties and material properties of the beams. Specifically, in the stiffened beams, the geometric location of stiffeners is modulated to quasiperiodic patterns, while, in the sandwich beams, the core’s material properties are varied in a step-wise manner to generate such patterns. The families of periodic and quasiperiodic beams for both stiffened and sandwich-type are obtained by varying a projection parameter that governs the location of the center of the stiffener or the alternating core, respectively. The dynamics of stiffened quasiperiodic beams is investigated through 3-D finite element simulations, which leads to the observation of the fractal nature of the bulk spectrum and the illustration of topological edge modes that populate bulk spectral bandgaps. The frequency spectrum is further elucidated by employing polarization factors that distinguish multiple contributing modes. The frequency response of the finite stiffened cantilever beams confirms the presence of modes in the non-trivial bandgaps and further demonstrates that those modes are localized at the free edge. A similar analysis is conducted for the analysis of sandwich composite beams, for which computations rely on a dynamic stiffness matrix approach. This work motivates the use of quasiperiodic beams in the design of stiffened and sandwich structures as structural members in applications where vibration isolation is combined with load-carrying functions. Full article
(This article belongs to the Special Issue Emerging Trends in Phononic Crystals)
►▼ Show Figures

Graphical abstract

12 pages, 8106 KiB  
Article
Parity-Time Symmetry and Exceptional Points for Flexural-Gravity Waves in Buoyant Thin-Plates
by Mohamed Farhat, Sebastien Guenneau, Pai-Yen Chen and Ying Wu
Crystals 2020, 10(11), 1039; https://0-doi-org.brum.beds.ac.uk/10.3390/cryst10111039 - 16 Nov 2020
Cited by 3 | Viewed by 2410
Abstract
We derive and apply a transfer matrix method (M-matrix) coupling liquid surface waves and flexural-gravity waves in buoyant thin elastic plates. We analyze the scattering matrix (S-matrix) formalism for such waves propagating within a Fabry-Perot like system, which are [...] Read more.
We derive and apply a transfer matrix method (M-matrix) coupling liquid surface waves and flexural-gravity waves in buoyant thin elastic plates. We analyze the scattering matrix (S-matrix) formalism for such waves propagating within a Fabry-Perot like system, which are solutions of a sixth order partial differential equation (PDE) supplied with adequate boundary conditions. We develop a parity-time (PT)-symmetry theory and its applications to thin elastic floating plates. The sixth order PDE governing the propagation of these waves leads to six by six M and S matrices, and results in specific physical properties of the PT-symmetric elastic plate systems. We show the effect of geometry and gain/loss on the asymmetric propagation of flexural-gravity waves, as well as a Fano-like line-shape of the reflection signature. Importantly, we show the possibility of obtaining coherent perfect absorber-laser (CPAL) using simple thin structures. Full article
(This article belongs to the Special Issue Emerging Trends in Phononic Crystals)
►▼ Show Figures

Figure 1

12 pages, 3059 KiB  
Article
Broadband Asymmetric Propagation in Pillared Meta-Plates
by Lin Chen, Wei Wang, Guohua Nie, Yabin Jin, Daniel Torrent and Bahram Djafari-Rouhani
Crystals 2020, 10(8), 702; https://0-doi-org.brum.beds.ac.uk/10.3390/cryst10080702 - 14 Aug 2020
Cited by 4 | Viewed by 2619
Abstract
The asymmetric propagation of mechanical energy across interfaces is a challenging problem with a wide range of applications. In this work, we present a novel structure presenting the asymmetric propagation of elastic waves in thin plates in a broadband range. The structure consists [...] Read more.
The asymmetric propagation of mechanical energy across interfaces is a challenging problem with a wide range of applications. In this work, we present a novel structure presenting the asymmetric propagation of elastic waves in thin plates in a broadband range. The structure consists of a combination of symmetrically and asymmetrically distributed pillars, so that the former decouple the different Lamb modes and the latter mix all of them. We show that a combination in tandem with these two structures can realize an efficient broadband asymmetric propagation at the subwavelength range and achieve a transmission difference larger than 200 dB between forward and backward directions. The proposed pillared meta-plate brings a new way for subwavelength and broadband wave manipulation in the fields of wave isolation, sensing and communication, among others. Full article
(This article belongs to the Special Issue Emerging Trends in Phononic Crystals)
►▼ Show Figures

Figure 1

12 pages, 16516 KiB  
Article
Omindirectional Non-Reciprocity via 2D Modulated Radial Sonic Crystals
by Davide Enrico Quadrelli, Emanuele Riva, Gabriele Cazzulani and Francesco Braghin
Crystals 2020, 10(7), 624; https://0-doi-org.brum.beds.ac.uk/10.3390/cryst10070624 - 17 Jul 2020
Cited by 3 | Viewed by 2741
Abstract
In this paper we report on nonreciprocal wave propagation in a 2D radial sonic crystal with space–time varying properties. We show that a modulation traveling along the radial direction reflects in omni-directional and isotropic nonreciprocal wave propagation between inner and outer shells. The [...] Read more.
In this paper we report on nonreciprocal wave propagation in a 2D radial sonic crystal with space–time varying properties. We show that a modulation traveling along the radial direction reflects in omni-directional and isotropic nonreciprocal wave propagation between inner and outer shells. The nonreciprocal behavior is verified both analytically and numerically, demonstrating that space–time radial crystals can be employed as one-way emitter or receiver of acoustic or elastic signals. Full article
(This article belongs to the Special Issue Emerging Trends in Phononic Crystals)
►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-8
Back to TopTop