Spatial Problem of Elastic Wave Penetration Across Two Parallel Double Periodic Arrays of Cracks

Abstract

This article discusses calculating the coefficients of reflection and transmission in the problem of a plane wave incident on a 3D system of two parallel double periodic arrays of cracks. In the low-frequency mode this problem is reduced to a set of integral equations on one selected crack. A semianalytic method developed previously for 3D scalar and planar elastic problems leads to explicit representations for wave field and scattering parameters.