Dispersion curves of bulk acoustic waves in an elastic body with a two-dimensional periodic structure of circular holes

Abstract

The dispersion curves of bulk acoustic waves in systems of circular holes made in an isotropic elastic material are calculated by the finite-element method for the cases of the square and hexagonal symmetries of the hole arrangement. The presence of total band gaps for acoustic waves is demonstrated, and the presence of inverse quasi-transverse first-order modes is revealed. For the hexagonally symmetric system of holes, total band gaps are found in the region of higher-order modes. For waves with a purely shear polarization, the imaginary part of the wave number in the first band gap is calculated.