Time-harmonic interaction effects for a periodic system of coplanar cracks in 3D elastic solids

The symmetric problem of time-harmonic elastic wave interaction with a periodic array of coplanar penny-shaped cracks embedded in an infinite elastic solid is numerically investigated. The problem is reduced to a boundary integral equation (BIE) for the crack-opening-displacement (COD) by means of a 3D periodic Green´s function obtained in the form of exponentially-convergent Fourier integrals. A stable numerical procedure is developed for the solution of the BIE. Numerical results for the mode-I dynamic stress intensity factor (SIF) are presented and discussed to show its variation with the dimensionless wave number and the distance between the cracks.