TY - JOUR
T1 - Two-dimensional phononic crystals studied using a variational method
T2 - application to lattices of locally resonant materials
AU - Goffaux, Cecile
AU - Sanchez-Dehesa, Jose
PY - 2003
Y1 - 2003
N2 - 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 array of high-density cylinders in an epoxy background, where the advantages of the method are pointing out in regard with the well-known plane-wave expansion formalism. Second, a comprehensive study is performed for the two-dimensional counterpart of the ternary systems recently studied by Liu et al. [Z. Liu et al., Science 289, 1734 (2000)]. Numerical simulations predict that subfrequency gaps also appear because of the soft polymer that coats the cylinders. A simple mechanical model is introduced to give a physical insight of the phenomenon responsible for our findings.
AB - 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 array of high-density cylinders in an epoxy background, where the advantages of the method are pointing out in regard with the well-known plane-wave expansion formalism. Second, a comprehensive study is performed for the two-dimensional counterpart of the ternary systems recently studied by Liu et al. [Z. Liu et al., Science 289, 1734 (2000)]. Numerical simulations predict that subfrequency gaps also appear because of the soft polymer that coats the cylinders. A simple mechanical model is introduced to give a physical insight of the phenomenon responsible for our findings.
U2 - 10.1103/PhysRevB.67.144301
DO - 10.1103/PhysRevB.67.144301
M3 - Article
SN - 1098-0121
VL - 67
SP - 144301-1-10
JO - Physical Review. B, Condensed Matter and Materials Physics
JF - Physical Review. B, Condensed Matter and Materials Physics
IS - 14
ER -