Visco-elastic effects on wave dispersion in three-phase acoustic metamaterials

Krushynska, Anastasiia O.; Kouznetsova, V Varvara; Geers, Mgd Marc

doi:10.1016/j.jmps.2016.07.001

Cited by 132 publications

(77 citation statements)

References 58 publications

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“…The effects of viscoelasticity on the band gaps of phononic crystals include shifting of the band gap frequencies, changing bandwidth, and enhancing transmission attenuation [38,39,40]. Modeling research of band gaps of viscoelastic composites typically focused on characterization of the band gap structure in the context of dispersion analysis [41,42,43], or wave transmission attenuation using direct numerical simulations [38,39,40]. While many homogenization approaches are proposed for elastic composites, those for viscoelastic composites are relatively rare.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Homogenization Model for Wave Dispersion and Attenuation in Elastic and Viscoelastic Periodic Layered Media

Oskay

2017

Journal of Applied Mechanics

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This manuscript presents a new nonlocal homogenization model (NHM) for wave dispersion and attenuation in elastic and viscoelastic periodic layered media. Homogenization with multiple spatial scales based on asymptotic expansions of up to eighth order is employed to formulate the proposed nonlocal homogenization model. A momentum balance equation, nonlocal in both space and time, is formulated consistent with the gradient elasticity theory. A key contribution in this regard is that all model coefficients including high-order length-scale parameters are derived directly from microstructural material properties and geometry. The capability of the proposed model in capturing the characteristics of wave propagation in heterogeneous media is demonstrated in multiphase elastic and viscoelastic materials. The nonlocal homogenization model is shown to accurately predict wave dispersion and attenuation within the acoustic regime for both elastic and viscoelastic layered composites.

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Section: Introductionmentioning

confidence: 99%

Nonlocal Homogenization Model for Wave Dispersion and Attenuation in Elastic and Viscoelastic Periodic Layered Media

Oskay

2017

Journal of Applied Mechanics

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“…2). The resonance nature of this BG is confirmed by the structure of the imaginary part of the diagram, typical for locally resonant metamaterials [45]. The third BG around Ω = 1.5 is due to Bragg scattering, as indicated by the Bragg-type imaginary bands.…”

Section: Two-phase Structuresmentioning

confidence: 59%

Coupling local resonance with Bragg band gaps in single-phase mechanical metamaterials

Krushynska

Miniaci

Bosia

et al. 2017

Extreme Mechanics Letters

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210

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a b s t r a c tVarious strategies have been proposed in recent years in the field of mechanical metamaterials to widen band gaps emerging due to either Bragg scattering or to local resonance effects. One of these is to exploit coupled Bragg and local resonance band gaps. This effect has been theoretically studied and experimentally demonstrated in the past for two-and three-phase mechanical metamaterials, which are usually complicated in structure and suffer from the drawback of difficult practical implementation. To avoid this problem, we theoretically analyze for the first time a single-phase solid metamaterial with socalled quasi-resonant Bragg band gaps. We show evidence that the latter are achieved by obtaining an overlap of the Bragg band gap with local resonance modes of the matrix material, instead of the inclusion. This strategy appears to provide wide and stable band gaps with almost unchanged width and frequencies for varying inclusion dimensions. The conditions of existence of these band gaps are characterized in detail using metamaterial models. Wave attenuation mechanisms are also studied and transmission analysis confirms efficient wave filtering performance. Mechanical metamaterials with quasi-resonant Bragg band gaps may thus be used to guide the design of practically oriented metamaterials for a wide range of applications.

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“…Therefore, handling frequency-dependency of the mechanical properties is not easy, since it requires the resolution of a nonlinear and non polynomial eigenvalue problem, or condensation procedures providing ill-conditioned matrices. 31,32 Alternative procedures can be found in the literature, such as ref., 33 where the damping provided by a generalized Maxwell model is included in the stiffness matrix, and ref., 34 where an EBSM (Extended Bloch Mode Synthesis) with modal reduction is applied for fast calculation. The next section recalls a suitable method for handling frequency-dependency in dispersion analysis.…”

Section: Classical Methods Based On Floquet-bloch Theoremmentioning

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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Visco-elastic effects on wave dispersion in three-phase acoustic metamaterials

Cited by 132 publications

References 58 publications

Nonlocal Homogenization Model for Wave Dispersion and Attenuation in Elastic and Viscoelastic Periodic Layered Media

Nonlocal Homogenization Model for Wave Dispersion and Attenuation in Elastic and Viscoelastic Periodic Layered Media

Coupling local resonance with Bragg band gaps in single-phase mechanical metamaterials

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

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