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Wave propagation through a periodic array of inclined cracks

✍ Scribed by Edoardo Scarpetta; Mezhlum A. Sumbatyan


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
98 KB
Volume
19
Category
Article
ISSN
0997-7538

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✦ Synopsis


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 and low-frequency types) are then given to the kernel, so as to derive explicit formulas for the reflection and transmission coefficients. Numerical resolution of the relevant equations finally provides some graphs that are compared.


πŸ“œ SIMILAR VOLUMES


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✍ Edoardo Scarpetta; Mezhlum A. Sumbatyan πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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

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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