Analysis of the effects of viscosity on the SH-wave band-gaps of 2D viscoelastic phononic crystals by Dirichlet-to-Neumann map method

2021 ◽  
Vol 195 ◽  
pp. 106225
Author(s):  
Feng-Lian Li ◽  
Chuanzeng Zhang ◽  
Yue-Sheng Wang
Keyword(s):  
Phononic Crystals ◽  
Band Gaps ◽  
Wave Band ◽  
Sh Wave ◽  
Dirichlet To Neumann Map

Elastic wave band gaps in 2D fractal phononic crystals

2021 ◽  
Author(s):  
Victor Gustavo Ramos Costa Dos Santos ◽  
Edson Jansen Pedrosa de Miranda Junior ◽  
Jose Maria Campos dos Santos
Keyword(s):  
Elastic Wave ◽  
Phononic Crystals ◽  
Band Gaps ◽  
Wave Band

scholarly journals Wave band gaps in two-dimensional piezoelectric/piezomagnetic phononic crystals

2008 ◽  
Vol 45 (14-15) ◽  
pp. 4203-4210 ◽  
Author(s):  
Yi-Ze Wang ◽  
Feng-Ming Li ◽  
Wen-Hu Huang ◽  
Xiaoai Jiang ◽  
Yue-Sheng Wang ◽  
...  
Keyword(s):  
Phononic Crystals ◽  
Band Gaps ◽  
Wave Band ◽  
Two Dimensional

Surface Acoustic Wave Band Gaps and Phononic Structures on Thin Solid Plates

2005 ◽  
Author(s):  
Xinya Zhang ◽  
Ted Jackson ◽  
Emmanuel Lafound ◽  
Pierre Deymier ◽  
Jerome Vasseur
Keyword(s):  
Acoustic Wave ◽  
Surface Acoustic Wave ◽  
Acoustic Waves ◽  
Phononic Crystal ◽  
Surface Acoustic Waves ◽  
Phononic Crystals ◽  
Band Gaps ◽  
Laser Ultrasonics ◽  
Thin Plates ◽  
Wave Band

Novel phononic crystal structures on thin plates for material science applications in ultrasonic range (~ MHz) are described. Phononic crystals are created by a periodic arrangement of two or more materials displaying a strong contrast in their elastic properties and density. Because of the artificial periodic elastic structures of phononic crystals, there can exist frequency ranges in which waves cannot propagate, giving rise to phononic band gaps which are analogous to photonic band gaps for electromagnetic waves in the well-documented photonic crystals. In the past decades, the phononic structures and acoustic band gaps based on bulk materials have been researched in length. However few investigations have been performed on phononic structures on thin plates to form surface acoustic wave band gaps. In this presentation, we report a new approach: patterning two dimensional membranes to form phononic crystals, searching for specific acoustic transport properties and surface acoustic waves band gaps through a series of deliberate designs and experimental characterizations. The proposed phononic crystals are numerically simulated through a three-dimensional plane wave expansion (PWE) method and experimentally characterized by a laser ultrasonics instrument that has been developed in our laboratory.

Elastic wave band gaps for three-dimensional phononic crystals with two structural units

2003 ◽  
Vol 313 (5-6) ◽  
pp. 455-460 ◽  
Author(s):  
Xin Zhang ◽  
Zhengyou Liu ◽  
Youyan Liu ◽  
Fugen Wu
Keyword(s):  
Elastic Wave ◽  
Three Dimensional ◽  
Phononic Crystals ◽  
Band Gaps ◽  
Wave Band ◽  
Structural Units

Band Gaps of SH Wave in Piezoelectric Phononic Crystal

2011 ◽  
Vol 239-242 ◽  
pp. 1486-1489
Author(s):  
Man Lan ◽  
Pei Jun Wei
Keyword(s):  
Dispersion Equation ◽  
Elastic Waves ◽  
Phononic Crystal ◽  
Stop Band ◽  
Slope Angle ◽  
Band Gaps ◽  
Pass Band ◽  
Wave Band ◽  
Sh Wave ◽  
Plane Sh Wave

The dispersive characteristic of anti-plane elastic waves propagating through laminated piezoelectric phononic crystal 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 anti-plane SH wave propagating perpendicular to and oblique to the laminated periodic structure are compared. The effects of the slope angle on the wave band structure are discussed.

Sonic Wave Band Gaps in Two-Dimensional Phononic Crystals Consisting of Hollow Mercury Columns Immersed in a Water Host, and Arranged in Simple Lattices

2014 ◽  
Vol 875-877 ◽  
pp. 512-517
Author(s):  
Yong Gang Xie ◽  
Jian Bing Chen ◽  
Gai Jing Huangfu ◽  
Hai Yang
Keyword(s):  
Cross Sections ◽  
Phononic Crystals ◽  
Band Gaps ◽  
Wave Band ◽  
Two Dimensional ◽  
Frequency Filtering ◽  
Filling Fraction ◽  
Water Columns ◽  
Sonic Wave ◽  
Gap Width

In this paper, band gaps for two-dimensional phononic crystals consisting of hollow square water columns immersed in a mercury host are investigated by plane-wave-expansion (PWE) method, in which cross sections of the scattering objects are hollow-square and hollow water columns are arranged in simple lattices (square, and triangular lattices). In order to regulate band gaps, we alter inner side lengths of hollow-square column, and change the filling ratio at the same time. From the results, It can be found that the band gap width and the number of the bad gaps can be changed by lattice shapes and corresponding filling fraction. This could be very useful in the design of phononic crystals band gaps and frequency filtering.

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