Phononic band-gaps of Hoberman spherical metamaterials in low frequencies

In this study, we investigate band structures of phononic crystals with particular emphasis on the effects of the mass density ratio and of the contrast of elastic constants. The phononic crystals consist of arrays of different media embedded in a rubber or epoxy. It is shown that the density ratio rather than the contrast of elastic constants is the dominant factor that opens up phononic band gaps. The physical background of this observation is explained by applying the theory of homogenization to investigate the group velocities of the low-frequency bands at the center of symmetry Γ.

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Simultaneous microwave photonic and phononic band gaps in piezoelectric–piezomagnetic superlattices with three types of domains in a unit cell

Physics Letters A ◽

10.1016/j.physleta.2016.02.037 ◽

2016 ◽

Vol 380 (20) ◽

pp. 1757-1762 ◽

Cited By ~ 2

Author(s):

Zheng-hua Tang ◽

Zheng-Sheng Jiang ◽

Tao Chen ◽

Da-Jun Lei ◽

Wen-Yan Yan ◽

...

Keyword(s):

Unit Cell ◽

Band Gaps ◽

Microwave Photonic ◽

Phononic Band Gaps

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Elastic wave propagation in metamaterial rods with periodic shunted piezo-patches

INTER-NOISE and NOISE-CON Congress and Conference Proceedings ◽

10.3397/in-2021-2657 ◽

2021 ◽

Vol 263 (2) ◽

pp. 4303-4311

Author(s):

Edson J.P. de Miranda ◽

Edilson D. Nobrega ◽

Leopoldo P.R. de Oliveira ◽

José M.C. Dos Santos

Keyword(s):

Wave Propagation ◽

Elastic Wave ◽

Wave Attenuation ◽

Periodic Structures ◽

Band Gaps ◽

Low Frequencies ◽

Periodic Arrays ◽

Extended Plane ◽

Elastic Metamaterials ◽

Piezoelectric Structures

The wave propagation attenuation in low frequencies by using piezoelectric elastic metamaterials has been developed in recent years. These piezoelectric structures exhibit abnormal properties, different from those found in nature, through the artificial design of the topology or exploring the shunt circuit parameters. In this study, the wave propagation in a 1-D elastic metamaterial rod with periodic arrays of shunted piezo-patches is investigated. This piezoelectric metamaterial rod is capable of filtering the propagation of longitudinal elastic waves over a specified range of frequency, called band gaps. The complex dispersion diagrams are obtained by the extended plane wave expansion (EPWE) and wave finite element (WFE) approaches. The comparison between these methods shows good agreement. The Bragg-type and locally resonant band gaps are opened up. The shunt circuits influence significantly the propagating and the evanescent modes. The results can be used for elastic wave attenuation using piezoelectric periodic structures.

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The effect of interface modulation on phononic band gaps for longitudinal modes in semiconductor superlattices

Journal of Applied Physics ◽

10.1063/1.4720467 ◽

2012 ◽

Vol 111 (10) ◽

pp. 104312 ◽

Cited By ~ 3

Author(s):

P. Nowak ◽

M. Krawczyk

Keyword(s):

Band Gaps ◽

Semiconductor Superlattices ◽

Longitudinal Modes ◽

Phononic Band Gaps ◽

Interface Modulation

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Phononic Band Gaps in Al2O3/Epoxy Composite

Materials Science Forum ◽

10.4028/www.scientific.net/msf.912.112 ◽

2018 ◽

Vol 912 ◽

pp. 112-117 ◽

Cited By ~ 6

Author(s):

Edson Jansen Pedrosa Miranda Jr. ◽

J.M.C. dos Santos

Keyword(s):

Cross Section ◽

Transverse Vibration ◽

Elastic Waves ◽

Epoxy Composite ◽

Phononic Crystal ◽

Band Gaps ◽

Square Lattice ◽

Plane Wave Expansion ◽

Phononic Band Gaps ◽

Angle Of Rotation

In this study, we have investigated the band structure of elastic waves propagating in a phononic crystal, consisting of an epoxy matrix reinforced by Al2O3 inclusions in a square and hexagonal lattices. We also studied the influence of the inclusion geometry cross section – circular, hollow circular, square and rotated square with a 45° angle of rotation with respect to the x, y axes. The plane wave expansion (PWE) method is used to solve the wave equation considering the wave propagation in the xy plane (longitudinal-transverse vibration, XY mode, and transverse vibration, Z mode). The complete band gaps between the XY and Z modes are observed to circular, square and rotated square cross section inclusion and the best performance is for rotated square cross section inclusion in a square lattice. We suggest that the Al2O3/epoxy composite is feasible for vibrations management.

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