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- Title
Low-Frequency Penetration of a Plane Elastic Wave Through the Periodic Array of Interface Cracks.
- Authors
Ciarletta, M.; Alexandrov, V. M.; Sumbatyan, M. A.
- Abstract
The paper is concerned with a low-frequency solution for the periodic array of interface coplanar cracks displaced on the boundary between two different linear isotropic elastic media. For low frequencies the problem is reduced to a singular integral equation of the second kind with the Hilbert kernel, whose solution can be constructed in quadratures. The transmission and reflection coefficients are expressed in terms of two constants which do not depend upon frequency parameter.
- Subjects
PENETRATION mechanics; ELASTIC waves; ELASTICITY; INTEGRAL equations; NUMERICAL integration
- Publication
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2002, Vol 82, Issue 2, p137
- ISSN
0044-2267
- Publication type
Article
- DOI
10.1002/1521-4001(200202)82:2<137::AID-ZAMM137>3.0.CO;2-P