Wave propagation in elastic bi-materials with a doubly periodic array of interface cracks

Abstract

In the present study, the scattering of plane elastic waves by a doubly periodic array of planar interface cracks is investigated. The problem is solved using the boundary integral equation method. The influences of the shape of cracks and lattice in the periodic array on wave transmission through an interface are studied. It is revealed that introduction of the periodic array of interface cracks allows to increase wave energy transmission compared to the interface without cracks. It is shown that the phenomenon is related to cut-off frequencies location and decrease in the amplitudes of the crack-opening-displacements.