2013/02/06 by Mihai Caleap, Caleap, Mihai
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Acoustic Wave Phenomena Research #FOS: Physical sciences #Material Properties and Applications #Material Properties and Failure Mechanisms #Materials Science (cond-mat.mtrl-sci) #Mathematical Physics (math-ph) #Numerical methods in engineering #Ultrasonics and Acoustic Wave Propagation #cond-mat.mtrl-sci #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1302.1350
21 pages (including 9 figures), in French
arxiv created 2013/02/06 · openalex publication_date 2013/02/06 · arxiv updated 2013/02/07 · openalex created_date 2023/07/18 · openalex updated_date 2026/07/28
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.