Abstract: In this paper, the interaction of antiplane shear waves with periodicallyarrayed cracks at the interface of two bonded dissimilar elastic half-space is considered. By using the finite Fourier transform techniques, the solution of the mixed boundary value problem for a typical strip is reduced to a set of singular integral equation with a singular kernel of ctgπ/L(u-x), where L is the width of the periodical strip. By means of Chebyshev polynomial, theequation is solved numerically. And finally, the variatio...