Analysis of elastic waves transmitted through a 2-D phononic crystal exhibiting negative refraction

2011 ◽  
Vol 58 (1) ◽  
pp. 178-186 ◽  
Author(s):  
Charles Croënne ◽  
Bruno Morvan ◽  
Jérôme Vasseur ◽  
Bertrand Dubus ◽  
Anne-Christine Hladky-Hennion
Keyword(s):  
Elastic Waves ◽  
Negative Refraction ◽  
Phononic Crystal

Designing a phononic crystal with large-size defect to enhance elastic wave energy localization and harvesting

2021 ◽  
Author(s):  
Xian’e Yang ◽  
Jiahui Zhong ◽  
Jiawei Xiang
Keyword(s):  
Energy Harvesting ◽  
Elastic Waves ◽  
Phononic Crystal ◽  
Defect Mode ◽  
Energy Localization ◽  
Remarkable Effect ◽  
Large Size ◽  
Piezoelectric Energy ◽  
Elastic Wave Energy ◽  
Multiple Cells

Abstract Phononic crystal (PnC) has been proved for its manipulation and amplification of elastic waves. Using this characteristic of PnC to assist energy harvesting has remarkable effect. Generally, defect occurs when unit cell in PnC is replaced by another cell with different geometric or material properties, the output electric power of piezoelectric energy harvesting (PEH) devices will be significantly enhanced. In this study, a cross hole-type PnC-assisted PEH device with a large-size defect is presented by replacing several adjacent multiple cells with other cells. It is found that multiple peak voltages can be created within BG and multimodal energy harvesting can be performed. Compared with the defect mode composed of a small-size defect, energy localization and amplification of the proposed PnC leads to substantially enhancement of harvesting power after tailoring geometric parameters of a PEH device. This work will be expected to design PnC-assisted PEH devices in a reasonable way.

Negative refraction of zero order flexural Lamb waves through a two-dimensional phononic crystal

2010 ◽  
Vol 97 (12) ◽  
pp. 121919 ◽  
Author(s):  
J. Pierre ◽  
O. Boyko ◽  
L. Belliard ◽  
J. O. Vasseur ◽  
B. Bonello
Keyword(s):  
Negative Refraction ◽  
Lamb Waves ◽  
Phononic Crystal ◽  
Zero Order ◽  
Two Dimensional

Phononic Band Gaps in Al2O3/Epoxy Composite

2018 ◽  
Vol 912 ◽  
pp. 112-117 ◽  
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.

The Propagation of In-Plane Waves in Multilayered Elastic/Piezoelectric Composite Structures with Imperfect Interface

2013 ◽  
Vol 750-752 ◽  
pp. 95-98 ◽  
Author(s):  
Man Lan ◽  
Pei Jun Wei
Keyword(s):  
Dispersion Equation ◽  
Elastic Waves ◽  
Composite Structures ◽  
Mass Parameter ◽  
Phononic Crystal ◽  
Plane Waves ◽  
Stop Band ◽  
Imperfect Interface ◽  
Piezoelectric Composite ◽  
Pass Band

The dispersive characteristic of in-plane elastic waves propagating through laminated piezoelectric phononic crystal with imperfect interface is studied in this paper. First, the transfer matrix method (TMM) and the Bloch theorem are used to derive the dispersion equation. Next, the dispersion equation is solved numerically and the dispersive curves are shown in Brillouin zone. The pass band and the stop band of in-plane wave propagating normal to the laminated periodic structure with spring imperfect interface are investigated. The effects of the spring or mass parameter are discussed.

Frequency Tunable Phononic Crystal Flat Lens for Subwavelength Imaging

2021 ◽  
Author(s):  
Hrishikesh Danawe ◽  
Serife Tol
Keyword(s):  
Negative Refraction ◽  
Phononic Crystal ◽  
Ultrasonic Inspection ◽  
Aluminum Plate ◽  
Lens Design ◽  
Lattice Arrangement ◽  
Dispersion Branch ◽  
Small Spot ◽  
Flat Lens ◽  
Frequency Tunable

Abstract In this paper, we present a thickness-contrast based flat lens for subwavelenth imaging in an aluminum plate. The lens is made of phononic crystal (PC) with a triangular lattice arrangement of through holes drilled over an aluminum plate. Subwave-length imaging is achieved by exploiting the concept of negative refraction of A0 plate mode for the optical dispersion branch of the PC. The wavenumbers are matched at a design frequency by creating a step change in the thickness of the PC-lens and host plate. The thickness-contrast results in refractive index of minus one at the interface of the lens and host plate. Negative refraction-based lens overcomes the diffraction limit and enables focusing of flexural waves in an area less than a square wavelength. We validate the flat lens design at a single design frequency through numerical simulations and experiments. Further, we numerically demonstrate the tunability of the lens design over a broadband frequency range by modifying the thickness-contrast between the lens and host plate. The proposed frequency tunable design is promising for many applications such as ultrasonic inspection, tetherless energy transfer, and energy harvesting, where the localization of wave energy in a small spot is desirable.

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