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Steklov Institute of Mathematics at St.Petersburg

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PREPRINT 09/2006

V.V. Kamotski, L.Ju. Fradkin, V.A. Borovikov, and V.M. Babich
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On BUDAEV AND BOGY'S
APPROACH TO DIFFRACTION BY THE 2D TRACTION FREE ELASTIC
WEDGE

This preprint was accepted May 22, 2006

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.

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