On the coupling of resonance and Bragg scattering effects in three-dimensional locally resonant sonic materials

Yuan, Bo; Humphrey, Victor F.; Wen, Jihong; Wen, Xisen

doi:10.1016/j.ultras.2013.03.019

Cited by 72 publications

(43 citation statements)

References 35 publications

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“…The coexistence of both BG types in the same structure has already been demonstrated theoretically and experimentally for different systems at various frequencies [17][18][19][20][21][22][23], including in 3D sonic solid metamaterials with coated inclusions [24,25]. These studies highlight the BG formation mechanisms [9,17,22,23] and show that the coupling between the two BGs leads to the creation of a combined 'resonant Bragg' BG with a broad transmission gap in the sub-wavelength region [7,21,22,24,25]. These conclusions are also valid for surface guided waves [26] and acoustic waves in PCs with gas bubbles [27].…”

Section: Introductionmentioning

confidence: 70%

“…The described behavior is similar to local resonances at the lower bound of the lowest BG. However, the structure of the imaginary parts of the spectrum is totally different and shows enhanced wave attenuation typical for the coupled 'resonance-Bragg' BGs [7,24].…”

Section: Two-phase Structuresmentioning

confidence: 99%

“…1 differ for the two considered structures, the BG in a PC with cavities is also due to the Bragg scattering mechanism. This can be deduced from the structure of the imaginary part of the spectrum, typical for Bragg BGs, which uniformly varies within the BG with a maximum value approximately at its mid-frequency [44], and from the similarity in the pass bands below the BGs. Next, we analyze a metamaterial composed of polymeric circular cylinders with steel cores, which are connected by means of thin ligaments (schematically shown in the inset of Fig.…”

Section: Two-phase Structuresmentioning

confidence: 99%

“…The presence of coated inclusions allows the localizing of the motions in the matrix and shifting the upper bound of the BG to higher frequencies by stiffening the whole structure. The fact than local resonances are induced only in the matrix distinguishes the considered metamaterial structure from other phononic structures with coupled 'resonance-Bragg' BGs [7,22,24,28], where Bragg scattering in the matrix is coupled with local resonances in the inclusions. Due to this difference, we denote this type of BG as a 'quasi-resonant Bragg' BG.…”

Section: Two-phase Structuresmentioning

confidence: 99%

See 3 more Smart Citations

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

Krushynska

Miniaci

Bosia

et al. 2017

Extreme Mechanics Letters

202

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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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Section: Introductionmentioning

confidence: 70%

Section: Two-phase Structuresmentioning

confidence: 99%

Section: Two-phase Structuresmentioning

confidence: 99%

Section: Two-phase Structuresmentioning

confidence: 99%

See 2 more Smart Citations

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

Krushynska

Miniaci

Bosia

et al. 2017

Extreme Mechanics Letters

202

View full text Add to dashboard Cite

show abstract

“…One is that the amplitudes of the displacement fields all decrease gradually as the radius increases, which are formed clearly by the cancellation effect of Bragg scattering instead of local resonance that leading a steep attenuation. 33 The other is that at the same position of Figs. 2(a) and 2(b), the phenomenon of this cancellation behavior can be observed, i.e., the opposite displacements between matrix and scatterers in the gray and blue regions.…”

Section: B Mechanism Of the Band Gapmentioning

confidence: 85%

Band gap characteristics of radial wave in a two-dimensional cylindrical shell with radial and circumferential periodicities

Shu

Liang

et al. 2018

AIP Advances

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A two-dimensional cylindrical shell (2DCS) structure with radial and circumferential periodicities is proposed in this paper. The band gap characteristics of radial wave propagating radically from the inner circle of the structure are investigated numerically. According to the calculation and discussion of wave transmission behavior, radial wave in the structure is found to show distinct attenuation in certain frequency region, i.e. wave band gap. The internal mechanism of the band gap is then investigated and the Bragg scattering effect is illustrated. Furthermore, the detailed behaviors of radial wave within the band gap are studied, especially for the transmission peaks. Special localization phenomenon is observed where the mechanical energy localizes strongly in a certain circle of scatterers. Consistency is then found by comparing these localization modes of the whole 2DCS with those of corresponding single scatterers, which indicates that the localization phenomenon is essentially resulted from the local resonance behavior of certain scatterers.

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Dissipative Dynamics of Polymer Phononic Materials

Krushynska

Gliozzi

Fina

et al. 2021

Adv Funct Materials

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Phononic materials are artificial composites with unprecedented abilities to control acoustic waves in solids. Their performance is mainly governed by their architecture, determining frequency ranges in which wave propagation is inhibited. However, the dynamics of phononic materials also depends on the mechanical and material properties of their constituents. In the case of viscoelastic constituents, such as most polymers, it is challenging to correctly predict the actual dynamic behavior of real phononic structures. Existing studies on this topic either lack experimental evidence or are limited to specific materials and architectures in restricted frequency ranges. A general framework is developed and employed to characterize the dynamics of polymer phononic materials with different architectures made of both thermoset and thermoplastic polymers, presenting qualitatively different viscoelastic behaviors. Through a comparison of experimental results with numerical predictions, the reliability of commonly used elastic and viscoelastic material models is evaluated in broad frequency ranges. Correlations between viscous effects and the two main band-gap formation mechanisms in phononic materials are revealed, and experimentally verified guidelines on how to correctly predict their dissipative response are proposed in a computationally efficient way. Overall, this work provides comprehensive guidelines for the extension of phononics modeling to applications involving dissipative viscoelastic materials.

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On the coupling of resonance and Bragg scattering effects in three-dimensional locally resonant sonic materials

Cited by 72 publications

References 35 publications

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

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

Band gap characteristics of radial wave in a two-dimensional cylindrical shell with radial and circumferential periodicities

Dissipative Dynamics of Polymer Phononic Materials

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