Stop bands for elastic waves in periodic composite materials

Abstract

The frequency ω versus wave vector k of elastic waves propagating in periodic binary composites consisting of solid inclusions placed periodically in a host matrix was calculated. Attention was focused on the possibility of stop bands (spectral gaps) for all directions of propagation in such composites. It was found that gold or lead inclusions of about 10% volume fraction in a Si or Be matrix give rise to stop bands.