Two-dimensional locally resonant phononic crystals with binary structures

G Wang, X Wen, J Wen, L Shao, Y Liu - Physical review letters, 2004 - APS
The lumped-mass method is applied to study the propagation of elastic waves in two-
dimensional binary periodic systems, ie, periodic soft rubber/epoxy and vacuum/epoxy …

Two-dimensional phononic crystals studied using a variational method: Application to lattices of locally resonant materials

C Goffaux, J Sánchez-Dehesa - Physical review B, 2003 - APS
A variational method is introduced to study the propagation of elastic waves in two-
dimensional periodic systems. First, it has been applied to a binary system consisting of an …

Lamb waves in binary locally resonant phononic plates with two-dimensional lattices

JC Hsu, TT Wu - Applied physics letters, 2007 - pubs.aip.org
The authors study the propagation of Lamb waves in two-dimensional locally resonant
phononic-crystal plates, composed of periodic soft rubber fillers in epoxy host with a finite …

Multicoaxial cylindrical inclusions in locally resonant phononic crystals

H Larabi, Y Pennec, B Djafari-Rouhani… - Physical Review E …, 2007 - APS
It is known that the transmission spectrum of the so-called locally resonant phononic crystal
can exhibit absolute sharp dips in the sonic frequency range due to the resonance scattering …

Lumped-mass method for the study of band structure in two-dimensional phononic crystals

G Wang, J Wen, Y Liu, X Wen - Physical review B, 2004 - APS
A lumped-mass method is introduced to study the propagation of elastic waves in two-
dimensional periodic systems. First, it is used to calculate the band structure of an array of …

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

X Zhang, Z Liu, Y Liu, F Wu - Physics Letters A, 2003 - Elsevier
We investigated the absolute elastic wave band gaps in three-dimensional systems
consisting of steel inclusions embedded in plastic matrix. Numerical results show that the …

Locally resonant phononic crystals made of hollow spheres or cylinders

R Sainidou, B Djafari-Rouhani, Y Pennec… - Physical Review B …, 2006 - APS
The acoustic properties of three-and two-dimensional phononic crystals consisting of hollow
spheres or cylinders are studied by means of numerical calculations by the layer-multiple …

Flexural vibration band gaps in Euler-Bernoulli beams with locally resonant structures with two degrees of freedom

D Yu, Y Liu, H Zhao, G Wang, J Qiu - Physical Review B—Condensed Matter …, 2006 - APS
Using the transfer matrix theory, we provided the band structure of flexural waves in an Euler-
Bernoulli beam with locally resonant structures, with two degrees of freedom, ie, a resonator …

Elastic and viscoelastic effects in rubber/air acoustic band gap structures: A theoretical and experimental study

B Merheb, PA Deymier, M Jain… - Journal of Applied …, 2008 - pubs.aip.org
The transmission of acoustic waves through centimeter-scale elastic and viscoelastic two-
dimensional silicone rubber/air phononic crystal structures is investigated theoretically and …

Complete band gaps in two-dimensional phononic crystal slabs

A Khelif, B Aoubiza, S Mohammadi, A Adibi… - Physical Review E …, 2006 - APS
The propagation of acoustic waves in a phononic crystal slab consisting of piezoelectric
inclusions placed periodically in an isotropic host material is analyzed. Numerical examples …