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Scattering of antiplane elastic waves by two-dimensional periodic arrays of cracks
- Publication Year :
- 2013
-
Abstract
- In the context of elastic wave propagation in damaged solids, an analytical approach for scattering of antiplane waves by two-dimensional periodic arrays of cracks is developed. Before considering the study of arrays of cracks, the scattering of an antiplane wave by a flat crack is first studied. Then, using the representation formula for the scattered displacement by a flat and by considering the periodicity condition of the crack-spacing, a boundary integral equation is obtained for the crack face displacement of the reference crack. Numerical results for the reflection and transmission coefficients are presented as functions of the crack-spacing, the frequency of excitation, and the angle of incidence. Finally, the propagation of antiplane waves by two-dimensional periodic arrays of cracks is studied. Despite the use of a finite number of linear arrays, one recognizes the effects of band-pass filtering or band rejection characteristics of the transmission spectra of a periodic medium. Effects due to a disorder in the periodicity are also analysed.<br />Comment: 21 pages (including 9 figures), in French
- Subjects :
- Condensed Matter - Materials Science
Mathematical Physics
Subjects
Details
- Language :
- French
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1302.1350
- Document Type :
- Working Paper