3D auxetic single material periodic structure with ultra-wide tunable bandgap

Dalessandro, L.; Zega, Valentina; Ardito, Raffaele; Corigliano, Alberto

doi:10.1038/s41598-018-19963-1

Cited by 120 publications

(56 citation statements)

References 47 publications

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“…Within this context, the detection, quantification and-as a final target-design of metamaterials showing desiderable properties of mechanical filtering by virtue of low-frequency band-gap remains a research issue of major interest (D'Alessandro et al, 2016(D'Alessandro et al, , 2018.…”

Section: Band-gap Optimization Problemmentioning

confidence: 99%

Optimal Design of the Band Structure for Beam Lattice Metamaterials

et al. 2019

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Sonic or acoustic metamaterials may offer a mechanically robust and highly customizable solution to open large band gaps in the low-frequency dispersion spectrum of beam lattice materials. Achieving the largest possible stop bandwidth at the lowest possible center frequency may be a challenging multi-objective optimization issue. The paper presents a first effort of analysis, systematization and synthesis of some recent multidisciplinary studies focused on the optimal spectral design of beam lattice materials and metamaterials. The design parameter vector is a finite set including all the microstructural properties characterizing the periodic material and the local resonators. Numerical algorithms are employed as leading methodology for solving various instances of the optimization problem. Methodological alternatives, based on perturbation methods and computational modeling, are also illustrated. Some optimal results concerning the dispersion spectrum of hexachiral, tetrachiral and anti-tetrachiral materials and metamaterials are summarized. The concluding remarks are accompanied by preliminary ideas to overcome some operational issues in solving the optimization problem.

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Section: Band-gap Optimization Problemmentioning

confidence: 99%

Optimal Design of the Band Structure for Beam Lattice Metamaterials

et al. 2019

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“…Mechanical metamaterials have been recently hailed as a new class of structural concept able to bring novel multifunctionalities 4 by changes of compliance, shape, or by embedding oscillators or smart material inserts. Some examples (to name a few) are multiscale architecturally structured topologies, 5 zig-zag folded sheets, 6 pentamodal lattices, 7 systems with distributed resonators, 8,9 smart/magnetic materials, 10 tunable connectivity, 11 phononic stubbed plates, 12 flat lenses (super lenses), 13 3D tunable phononic crystals, 14 tunable metamaterial beam with shape memory alloy resonators, 15,16 auxetic periodic structure (with negative Poisson ratio) 17,18 and nonlinear auxetic dampers. 19 Further author information: (Send correspondence to Morvan Ouisse) E-mail: morvan.ouisse@femto-st.fr, Telephone: +33 3 81 66 60 00 A phononic crystal is a metamaterial with a periodic structure, that exhibits spatial periodicity.…”

Section: Introductionmentioning

confidence: 99%

Design and experimental validation of a temperature-driven adaptive phononic crystal slab

Billon¹,

Ouisse²,

Sadoulet-Reboul³

et al. 2019

Smart Mater. Struct.

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In this paper, an adaptive phononic crystal slab based on the combination of metallic parts and highly dissipative polymeric interfaces is designed. Cylindrical pillars are composed of shape memory polymer and aluminum deposited periodically on the aluminum slab. The mechanical properties of the polymer depend on both temperature and frequency and can radically change from glassy to rubbery state, with various combinations of high/low stiffness and high/low dissipation. A 3D finite element model of the cell is developed for the design of the metamaterial. The shifted-cell operator technique is used to correctly handle damping effects in the dispersion analysis. In order to validate the design and the adaptive character of the metamaterial, results issued from a full 3D model of a finite structure embedding an interface composed by a distributed set of the unit cells are presented. Various driving temperatures are used to change the behaviour of the system, and numerical results obtained on the adaptive structure are compared to experimental ones. Two states are obtained by changing the temperature of the polymeric interface: at 25 • C a bandgap is visible around a selected resonance frequency, and it doesn't exist anymore above the glass transition temperature, where the phononic crystal slab tends to behave as an homogeneous plate. Numerical and experimental results show energy propagation along the borders of the slab in the bandgap.

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“…For all these motivations, the Umov-Poynting vector is gaining increasing attention in many contemporary works specifically devoted to the dispersion characterization of periodic materials [21][22][23][24]. Indeed, studying and governing the direction of the power flux is becoming a key aspect in several advanced applications, like the fine tuning of phononic filters [25][26][27][28][29], the elastic wave beaming and funneling [30][31][32] or the acoustic focusing, lensing and cloacking [33][34][35][36]. Among the other possibilities concerned with periodic materials, a fascinating prospect is the functional design of negative refraction properties (s · k < 0) in phononic crystals [37] and in square chiral lattices [38].…”

Section: Introductionmentioning

confidence: 99%

Acoustic wave polarization and energy flow in periodic beam lattice materials

Bacigalupo

Lepidi

2018

International Journal of Solids and Structures

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The free propagation of acoustic plane waves through cellular periodic materials is generally accompanied by a flow of mechanical energy across the adjacent cells. The paper focuses on the energy transport related to dispersive waves propagating through nondissipative microstructured materials. The generic microstructure of the periodic cell is described by a beam lattice model, suitably reduced to the minimal space of dynamic degrees-of-freedom. The linear eigenproblem governing the wave propagation is stated and the complete eigensolution is considered to study both the real-valued dispersion functions and the complex-valued waveforms of the propagating elastic waves. First, a complete family of nondimensional quantities (polarization factors) is proposed to quantify the linear polarization or quasi-polarization, according to a proper energetic criterion. Second, a vector variable related to the periodic cell is introduced to assess the directional flux of mechanical energy, in analogy to the Umov-Poynting vector related to the material point in solid mechanics. The physical-mathematical relation between the energy flux and the velocity of the energy transport is recognized. The formal equivalence between the energy and the group velocity is pointed out, according to the mechanical assumptions. Finally, all the theoretical developments are successfully applied to the prototypical beam lattice material characterized by a periodic tetrachiral microstructure. As case study, the tetrachiral material offers interesting examples of perfect and nearly-perfect linear polarization. Furthermore, the nonlinear dependence of the energy fluxes on the elastic waveforms is discussed with respect to the acoustic and optical surfaces featuring the energy spectrum of the material. As final remark, the occurrence of negative refraction phenomena is found to characterize the high-frequency optical surface of the frequency spectrum. (Andrea Bacigalupo) tal lattice, and related its flux density to the particle velocities through the concept of characteristic impedance [3,4]. Almost concurrently, Maurice A. Biot established some general theorems relating the group wave velocity and the energy velocity in anisotropic, non-homogeneous, non-dissipative media [5]. Over the last decades, specific issues related to the transport of mechanical energy have been treated in different monographs concerning anisotropic elastic solids [6], viscoelastic heterogeneous solids and fluids [7], anisotropic, anelastic, porous and electromagnetic materials [8], viscoelastic layered media [9]. Occasional but sharp attention has been specifically devoted to the flow of mechanical energy in periodic systems, including crystal lattices [10,11] and structural assemblies [12,13].The essential idea, shared by the largest majority of literature studies, is that strict formal and substantial analogies can be established between the radiation of electromagnetic energy and the transfer of mechanical energy [14]. According to this standpoint, the well-known Poyn...

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3D auxetic single material periodic structure with ultra-wide tunable bandgap

Cited by 120 publications

References 47 publications

Optimal Design of the Band Structure for Beam Lattice Metamaterials

Optimal Design of the Band Structure for Beam Lattice Metamaterials

Design and experimental validation of a temperature-driven adaptive phononic crystal slab

Acoustic wave polarization and energy flow in periodic beam lattice materials

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