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Wave propagation through elastic solids with a periodic array of arbitrarily shaped defects

โœ Scribed by E. Scarpetta; M.A. Sumbatyan

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
527 KB
Volume
37
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

In the context of wave propagation through damaged (elastic) solids, an analytical approach to study the normal penetration of a scalar plane wave into a periodic array of defects with arbitrary shape is introduced. By means of a (uniform) approximation slightly stronger than the standard one-mode type, explicit analytical formulas for the scattering parameters are derived. Numerical resolution of the main integral equations for assigned shapes provide some graphs that are reciprocally compared. (~) 2003 Elsevier Science Ltd. All rights reserved.

๐Ÿ“œ SIMILAR VOLUMES

On wave propagation in elastic solids wi
On wave propagation in elastic solids with a doubly periodic array of cracks
โœ Edoardo Scarpetta; Mezhlum A. Sumbatyan ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 752 KB

In the context of wave propagation in damaged (elastic) solids, an analytical approach for normal penetration of a plane wave through a doubly periodic array of cracks is developed. Using a uniform approximation in a one-mode range previously obtained, we give explicit representations for the wave f

Wave propagation through a periodic arra
Wave propagation through a periodic array of inclined cracks
โœ Edoardo Scarpetta; Mezhlum A. Sumbatyan ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 98 KB

In the frame of wave propagation in damaged (elastic) solids, an analytical approach for normal penetration of a plane wave through a periodic array of inclined cracks is developed. The problem is reduced to an integral equation holding over the length of each crack; approximated forms (of one-mode

Low-Frequency Penetration of a Plane Ela
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โœ M. Ciarletta; V. M. Alexandrov; M. A. Sumbatyan ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 106 KB ๐Ÿ‘ 2 views

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 kern