Low-Frequency Penetration of a Plane Elastic Wave Through the Periodic Array of Interface Cracks

✍ Scribed by M. Ciarletta; V. M. Alexandrov; M. A. Sumbatyan

• Publisher: John Wiley and Sons
• Year: 2002
• Tongue: English
• Weight: 106 KB
• Volume: 82
• Category: Article
• ISSN: 0044-2267
• DOI: 10.1002/1521-4001(200202)82:2<137::aid-zamm137>3.0.co;2-p

✦ Synopsis

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.

MSC (2000): 74B99, 74R05, 45E99 k s2 ¼ w c s2 ;

ð2:3Þ c p1 , c s1 the longitudinal and the transverse wave speeds in the lower medium, c p2 ; c s2 in the upper one.