Modelling of wave propagation in layered periodic composite with doubly periodic array of interface rectangular delaminations

The three-dimensional problem of the modelling of elastic wave propagation in a multi-layered periodic composite with a doubly periodic array of interface rectangular delaminations or planar voids using the boundary integral equation method is considered. The boundary integral equation with unknown crack opening displacement vector is formulated using the Floquet theorem and solved using the Galerkin method at the reference delamination. The influence of the characteristics of the doubly periodic array on the transmission and diffraction of plane transverse and longitudinal elastic waves is analyzed.