On Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge
Mathematical Physics
2007-05-23 v1 math.MP
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 obtained solution and argue that it is the solution of the original diffraction problem. We describe a comprehensive code verification and validation programme.
Keywords
Cite
@article{arxiv.math-ph/0604011,
title = {On Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge},
author = {V. Kamotski and L. Ju. Fradkin and B. A. Samokish and V. A. Borovikov and V. M. Babich},
journal= {arXiv preprint arXiv:math-ph/0604011},
year = {2007}
}