In this paper, the authors study a two-dimensional in-plane problem in the context of an oblique incident plane wave in the presence of two (parallel) surface-breaking vertical cracks. An analytical approach is developed that permits reducing the problem to a system of two integral equations with respect to the normal and tangential opening of the crack faces. The system is investigated numerically for a wide range of the frequency parameter. It is shown that with the choice of an appropriate pair of cracks it is possible to arrange the control of the free-surface vibrational amplitude.
Aki, K. and Richards, P.G., 1980, Quantitative Seismology. Theory and Methods, Vols. 1 and 2, Freeman , San Francisco.
3.
Brekhovskikh, L.M., 1980, Waves in Layered Media, 2nd ed., Academic Press, San Diego, CA.
4.
Ciarletta, M., Passarella, F., and Sumbatyan, M.A., 1996, "Scattering of a horizontally polarized oblique wave by a pair of surface-breaking cracks," J. Acoust. Soc. America100, 1.
5.
Gel'fand, I.M. and Shilov, G.E., 1964, Generalized Functions, Vol. 1, Academic Press, San Diego, CA.
6.
Gradshteyn, I.S. and Ryzhik, I.M., 1980, Table of Integrals, Series and Products, Academic Press, London.
7.
Mendelsohn, D.A., Achenbach, J.D., and Keer, M., 1980, "Scattering of elastic waves by a surface-breaking crack ," Wave Motion2, 277-292.
