FINITE ELEMENT ANALYSIS OF THE INTERFACE/SURFACE EFFECT ON THE ELASTIC WAVE BAND STRUCTURE OF TWO-DIMENSIONAL NANOSIZED PHONONIC CRYSTALS

2014 ◽  
Vol 06 (01) ◽  
pp. 1450005 ◽  
Author(s):  
WEI LIU ◽  
YONGQUAN LIU ◽  
XIANYUE SU ◽  
ZHENG LI
Keyword(s):  
Finite Element ◽  
Band Structure ◽  
Elastic Wave ◽  
Surface Effect ◽  
Surface Elasticity ◽  
Phononic Crystals ◽  
Surface Element ◽  
Wave Band ◽  
Two Dimensional ◽  
Interface Surface

In this paper, an interface/surface element is formulated based on the Gurtin–Murdoch interface/surface elasticity theory for accounting the interface/surface effect on the elastic wave propagation in two-dimensional nanosized phononic crystals. The interface/surface element is subsequently incorporated into the finite element procedure for calculating the elastic wave band structure of two-dimensional nanosized phononic crystals with consideration of the interface/surface effect. Elastic wave band structures of two-dimensional phononic crystals comprising a square array of circular or elliptical cylindrical nanoholes embedded in an aluminum matrix are analyzed. Numerical results evidence that the interface/surface effect on the elastic wave band structure can be remarkable when the characteristic size reduces to nanometers.

Elastic wave band gaps tuned by configuring radii of rods in two-dimensional phononic crystals with a hybrid square-like lattice

2015 ◽  
Vol 29 (35n36) ◽  
pp. 1550242
Author(s):  
Rongqiang Liu ◽  
Haojiang Zhao ◽  
Yingying Zhang ◽  
Honghwei Guo ◽  
Zongquan Deng
Keyword(s):  
Plane Wave ◽  
Elastic Wave ◽  
Phononic Crystals ◽  
Numerical Results ◽  
Band Gaps ◽  
Square Lattice ◽  
Wave Band ◽  
Two Dimensional ◽  
Plane Wave Expansion ◽  
Band Structures

The plane wave expansion (PWE) method is used to calculate the band gaps of two-dimensional (2D) phononic crystals (PCs) with a hybrid square-like (HSL) lattice. Band structures of both XY-mode and Z-mode are calculated. Numerical results show that the band gaps between any two bands could be maximized by altering the radius ratio of the inclusions at different positions. By comparing with square lattice and bathroom lattice, the HSL lattice is more efficient in creating larger gaps.

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 Effects on Bandgaps of Transverse Waves Propagating in Two Dimensional Phononic Crystals with Nanosized Holes

2011 ◽  
Vol 675-677 ◽  
pp. 611-614 ◽  
Author(s):  
Ni Zhen ◽  
Yue Sheng Wang
Keyword(s):  
Laplace Equation ◽  
Surface Effect ◽  
Phononic Crystal ◽  
Surface Effects ◽  
Phononic Crystals ◽  
Square Lattice ◽  
Two Dimensional ◽  
Transverse Waves ◽  
Circular Holes

In this paper, a method based on the displacement-traction map is developed to calculate the bandgaps of transverse waves propagating in a 2D phononic crystal composed of nanosized circular holes in a square lattice. The Young-Laplace equation is employed to take into account of the surface effects of the nanosized holes. Detailed calculations are performed for the system with nanosized circular holes in an aluminum host with or without the surface effect. The result shows that all bands descend with the first bandgap becoming wider due to the existence of the surface effects.

Band structure in two-dimensional fiber–air phononic crystals

2011 ◽  
Vol 406 (4) ◽  
pp. 963-966 ◽  
Author(s):  
Shu Yang ◽  
Wei-Dong Yu ◽  
Ning Pan
Keyword(s):  
Band Structure ◽  
Phononic Crystals ◽  
Two Dimensional
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