Acoustic Characteristics of Solid Elastic Media with Oriented Microcracking

We have developed a model of interaction between propagating longitudinal plane elastic waves and an elastic medium containing oriented microcracks with a singularity in the boundary conditions in the “linear slip” approximation. The form of the dispersion equation is determined in the approximation of the theory of Bloch and Floquet waves. The results of its solution are obtained and analyzed; the solutions determine the nature of the dependences of the propagation phase velocity and the attenuation coefficient of the effective longitudinal wave on the parameters of microroughness of the crack banks and other model parameters.