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Boundary integral method for scattering problems with cracks buried in a piecewise homogeneous medium

✍ Scribed by Guozheng Yan; Jianguo Ye

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 207 KB
Volume: 35
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1539

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✦ Synopsis

We consider the scattering of time‐harmonic acoustic plane waves by a crack buried in a piecewise homogeneous medium. The integral representation for a solution is obtained in the form of potentials by using Green's formula. The density in potentials satisfies the uniquely solvable Fredholm integral equation. Then we obtain the existence and uniqueness of the solution. Copyright © 2011 John Wiley & Sons, Ltd.

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We consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having a mixed open crack (or arc) in R 2 as the cross section. The crack is made up of two parts, and one of the two parts is (possibly) coated by a material with surface impedance . We transform the s