SH wave diffraction and resonances in periodic structures with super-thin inhomogeneities

Abstract

Propagation of a time-harmonic plane SH wave and its diffraction in periodic layered elastic composites with both a single infinitesimally thin inhomogeneity and an array of inhomogeneities (cracks, rigid inclusions) are analyzed. The mathematical model is based on an integral approach, a system of boundary integral equations, and a T-matrix; the commonly used spring model is also applied for a damaged composite. The resonances and wave localization in the vicinity of obstacles are focused.