ON THE SCATTERING OF ELASTIC WAVES BY AN ELASTIC INCLUSION IN TWO DIMENSIONS

1 January 1990

journal article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 43 (3) , 275-291
https://doi.org/10.1093/qjmam/43.3.275

Abstract

Plane time-harmonic elastic waves are scattered by a cylindrical elastic inclusion. This plane-strain inclusion problem is reduced to a pair of coupled singular integral equations over the interface. In fact, two different quasi-Fredholm systems of singular integral equations are obtained, one using an indirect method and one using a direct method. Both systems are shown to be uniquely solvable, and lead to simple existence proofs for the two-dimensional inclusion problem.

Keywords

INTEGRAL EQUATIONS
SYSTEMS OF SINGULAR
SCATTERED
TIME HARMONIC
HARMONIC ELASTIC
PLANE TIME
ELASTIC WAVES
INCLUSION PROBLEM

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