On Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge

Details On Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge On Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge

2006-04-06

arxiv.org/abs/math-ph/0604011v1

Physics

Mathematical Physics

Scientific paper

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 obtained solution and argue that it is the solution of the original diffraction problem. We describe a comprehensive code verification and validation programme.

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