On Budaev and Bogy’s Approach to Diffraction by the 2D Traction‐Free Elastic Wedge

Abstract

Several semianalytical approaches are now available for describing diffraction of a plane wave by the 2D (two‐dimensional) traction free isotropic elastic wedge. In this paper we follow Budaev and Bogy, who reformulated the original diffraction problem as a singular integral one. This comprises two algebraic and two singular integral equations. Each integral equation involves two unknowns, a function and a constant. We discuss the underlying integral operators and develop a new semianalytical scheme for solving the integral equations. We investigate the properties of the solution obtained and argue that it is the solution of the original diffraction problem. We describe a comprehensive code verification and validation program.