Diffraction of waves in an elastic space with semi-infinite inclusion

Abstract

Diffraction of waves in an elastic space is investigated, when a shear wave is incident in an arbitrary direction on a. semi-infinite inclusion in the form of elastic layer of a small thickness. The problem is to determine the wave field both in the contact region and in the space. In the both regions of shade and reflected wave and, naturally, in the contact region a wave part is discovered ~ localized (surface) wave of Love (if only the. shear wave speed in the space is greater than that in the inclusion)+ As an extreme case solutions of problems of space with a semi-infinite crack and also a semi-infinite rigid inclusion are derived. Asymptotic presentations of displacements and st#resses in the far field and asymptotics of stresses near the inclusion's edge are dcrived. 1. Consider an elastic space? in Cartesian coordinate system Ozyz, containing an elastic semi-infinite inclrision in the form of a semi-infinite strip of a sma.11 thickness 2h, which occupies the region Ro (-m < 5 5 0, IyI 5 h, Irl < m). A plane shear wave with time harmonic factor e-iwt and amplitude