Wave penetration through elastic solids with a periodic array of rectangular flaws

In the context of wave propagation in damaged (elastic) solids, an analytical approach for anti-plane normal penetration of a plane wave through a periodic array of rectangular flaws is developed. Reduced the problem to integral equations holding over the openings, an approximation of one-mode type will lead to explicit analytical formulas for the scattering parameters. Numerical resolution of the relevant equations will finally provide some graphs to be compared