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Wave scattering by an elastic obstacle with interior cuts

✍ Scribed by Luís P. Castro; David Natroshvili; Ioannis G. Stratis

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 232 KB
Volume: 280
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200510531

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✦ Synopsis

Abstract

We consider the direct interaction problem describing the scattering of acoustic waves by an elastic obstacle with interior cracks. By the potential method we reduce the problem to an equivalent system of integral (pseudodifferential) equations and study its solvability. In particular, we formulate necessary and sufficient conditions for the solvability in terms of the so‐called Jones modes. We show that the direct scattering problem is solvable for arbitrary values of the frequency parameter and for arbitrary incident wave functions if the crack surface is traction free. We also investigate the regularity of the displacement field, and analyze the stress singularities at the crack edge. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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