ON THE SCATTERING OF ELASTIC WAVES BY AN ELASTIC INCLUSION IN TWO DIMENSIONS
Paul A. Martin · The Quarterly Journal of Mechanics and Applied Mathematics · 1990
Plane time-harmonic elastic waves are scattered by a cylindrical elastic inclusion. This plane-strain inclusion problem is reduced to a pair of coupled singular integral equations over the interface. In fact, two different quasi-Fredholm systems of singular integral equations are obtained, one using an indirect method and one using a direct method. Both systems are shown to be uniquely solvable, and lead to simple existence proofs for the two-dimensional inclusion problem.