Physics – Mathematical Physics
Scientific paper
2006-04-06
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.
Babich Mikhail V.
Borovikov V. A.
Fradkin Ju. L.
Kamotski V.
Samokish B. A.
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