Dispersion of elastic waves in microinhomogeneous media and structures
Margarita Ernestovna Eglit · Acoustical Physics · 2010
The propagation of elastic waves in periodic stratified media with arbitrary local anisotropy and in anisotropic plates and bars inhomogeneous in thickness is considered under the condition that the ratio of the scale characterizing the inhomogeneity of the medium or the thickness of a plate or bar in thickness to the typical wavelength is small. The propagation of long waves is described using the effective averaged equations with high-order accuracy, which are derived by the method of two-scale asymptotic expansions in ɛ. The results of analytic and numerical studies of their principal terms responsible for the dispersion of waves are presented. The form of the dependence of the wave velocity on the wavelength is studied for structures with different types of symmetry.