Diffraction by a thin-walled plane inclusion of arbitrary rigidity: the case of SH-waves

Abstract

A thin plane inclusion is perfectly bonded to a surrounding elastic matrix (in two-dimensional Euclidean space) and subjected to an incident plane harmonic SH wave. Using the representation theorem for the displacements the problem is described by singular integral equations. The solutions. to the integral equations for the wave zone of the inclusion are presented in a closed form that is computationally effective and yields accurate results in the resonance region of dimensionless wave numbers. The method of investigation is based on the Wiener-Hopf technique.