Scattering of SH-waves by cylinders of arbitrary cross-section-solution by the boundary integral equation method

Abstract

The scattering of steady-state anti-plane shear waves (SH waves) from arbitrarily shaped inclusions in an infinite medium is described by means of integral equations expressed in terms of displacement fields. The problem is examined for the two dimensional case where an inclusion fixed ill space like a cavity or a rigid body with material. constants different from the surrounding medium is taken as the scatterer.The resulting singular integral equations are solved numerically. Both near and far-field solutions pertaining to circular, elliptical and rectangular cross sections are obitained. All the results are presented in graphical form and are found to be in good agreement compared with the known exact solutions.