Diffraction of elastic waves by two coplanar and parallel rigid strips

Abstract

The problem of diffraction of normally incident longitudinal and antiplane shear waves by two parallel and coplanar rigid strips embedded in an infinite, isotropic and homogeneous elastic medium is solved. Approximate formulas are derived for the displacement field, stress tensor, far-field amplitudes and the scattering cross section when the wave lengths are large compared to the distance between the outer edges of the two strips. The limiting results for the corresponding problem of a single strip are also derived and are presented here for the first time.