Elastic wave band gaps in magnetoelectroelastic phononic crystals

Wang, Yi–Ze; Li, Fengming; Kishimoto, Kikuo; Wang, Yue-Sheng; Huang, Wenhu

doi:10.1016/j.wavemoti.2008.08.001

Cited by 86 publications

(35 citation statements)

References 59 publications

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“…Following this approach, some authors [56,57] have studied how the piezoelectric effect can influence the elastic properties of a PC and subsequently change its dispersion curves and gaps. Several studies have also reported noticeable changes in the band structures of magnetoelectro-elastic phononic crystals when the coupling between magnetic, electric, and elastic phenomena are taken into account [58,59] or when external magnetic fields are applied [60].…”

Section: Tunable Structuresmentioning

confidence: 99%

Introduction to Phononic Crystals and Acoustic Metamaterials

Deymier

2012

Acoustic Metamaterials and Phononic Crystals

126

141

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The objective of this chapter is to introduce the broad subject of phononic crystals and acoustic metamaterials. From a historical point of view, we have tried to refer to some of the seminal contributions that have made the field. This introduction is not an exhaustive review of the literature. However, we are painting in broad strokes a picture that reflects the biased perception of this field by the authors and coauthors of the various chapters of this book. Properties of Phononic Crystals and Acoustic MetamaterialsThe field of phononic crystals (PCs) and acoustic metamaterials emerged over the past two decades. These materials are composite structures designed to tailor elastic wave dispersion (i.e., band structure) through Bragg's scattering or local resonances to achieve a range of spectral (o-space), wave vector (k-space), and phase (f-space) properties.

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Section: Tunable Structuresmentioning

confidence: 99%

Introduction to Phononic Crystals and Acoustic Metamaterials

Deymier

2012

Acoustic Metamaterials and Phononic Crystals

126

141

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“…In the literature, theoretical calculations of bulk acoustic waves (BAWs) in phononic band structures of two-dimensional (2D) periodic composites were reported using the plane wave expansion (PWE) method [1][2][3][4][5][6][7][8][9][10][11][12][13][14], multiple scattering theory [15][16][17][18], and finite difference time domain (FDTD) method [19][20][21]. On the other hand, the experimental evidence for the existence of absolute acoustic band gaps (BAW modes) has also been reported [19,[22][23][24][25][26][27].…”

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confidence: 99%

Surface Acoustic Waves in Phononic Crystals

Hsu

Sun

et al. 2016

Phononic Crystals

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Over the past two decades, propagation of acoustic waves in periodic structures comprised of multi-components has received much attention because of renewed physical properties and potential applications in a variety of fields, such as noise and vibration isolation, frequency filters in wireless communication, super lens design, etc. These composite materials, called phononic crystals (PCs) [1,2], give rise to forbidden gaps for acoustic waves which are analogous to the band gaps for electromagnetic waves in photonic crystals. Major mechanisms leading to the forbidden gaps are Bragg scattering and localized resonances (LR) [3]. The former opens up the Bragg gap at the Brillouin-zone boundaries, and the band-gap frequency corresponds to the wavelength in the order of the structural period, i.e. of the lattice constant, and relates to the lattice symmetry. On the other hand, localized

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“…The influence of piezoelectricity is significant on the band gaps for all lattices and inclusions. This influence is more evident in high frequencies 60 for circular, square and rotated square inclusions. However, for hollow circular inclusion in all lattices ( Figures 7-11 (b)), the piezoelectricity is also significant in lower frequencies.…”

Section: Resultsmentioning

confidence: 86%

“…PCs have many applications, such as vibration isolation technology [18][19][20][21][22] , acoustic barriers/filters [23][24][25] , noise suppression devices [26][27] , surface acoustic devices 28 , architectural design 29 , sound shields 30 , acoustic diodes 31 , elastic metamaterials [21][22]25,27,32 and thermal metamaterials [33][34][35][36][37][38][39] . There are also smart PCs that have been studied, such as piezoelectric [40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] , piezomagnetic [55][56][57][58] and magnetoelectroelastic 14,[59][60][61]…”

Section: Introductionmentioning

confidence: 99%

Complete Band Gaps in Nano-Piezoelectric Phononic Crystals

Miranda

Santos

2017

Mat. Res.

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We study the band structure of elastic waves propagating in a nano-piezoelectric phononic crystal consisting of a polymeric matrix reinforced by BaTiO 3 inclusions in square, rectangular, triangular, honeycomb and Kagomé lattices. We also investigate the influence of inclusion cross section geometrycircular, hollow circular, square and rotated square with a 45º angle of rotation with respect to x and y axes. Plane wave expansion method is used to solve the governing equations of motion of a piezoelectric solid based on classical elasticity theory, ignoring nanoscopic size effects, considering two-dimensional periodicity and wave propagation in the xy plane. Complete band gaps between XY and Z modes are observed for all inclusions and the best performance is for circular inclusion in a triangular lattice. Piezoelectricity influences significantly the band gaps for hollow circular inclusion in lower frequencies. We suggest that nano-piezoelectric phononic crystals are feasible for elastic vibration management in GHz.

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Elastic wave band gaps in magnetoelectroelastic phononic crystals

Cited by 86 publications

References 59 publications

Introduction to Phononic Crystals and Acoustic Metamaterials

Introduction to Phononic Crystals and Acoustic Metamaterials

Surface Acoustic Waves in Phononic Crystals

Complete Band Gaps in Nano-Piezoelectric Phononic Crystals

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