Diffraction of elastic waves by three-dimensional cracks of arbitrary shape in a plane

Effective spring boundary conditions for a damaged interface between dissimilar media in three-dimensional case

“…The reasons for the small discrepancies that are seen are unclear, however, note that the results are taken from figures 15 so that the exact points are a little uncertain. Analogous comparisons have been made for dissimilar media with the method proposed by Glushkov and Glushkova (1996), with a very good correspondence (?). Following the scheme used in Golub and Boström (2011), consider a plane P or S wave incident normally to an interface with a random distribution of circular cracks of the same radius a, see Fig.…”

Stress concentration around a spheroidal crack caused by a harmonic wave incident at an arbitrary angle

“…Under a dynamic load generating elastic waves in a certain direction, the level of stress concentration around such cracks is determined by the correlation of the geometries of the defect and the wave diffracted by it. The majority of studies in this area address the dynamic behavior of flat cracks with different outlines [3,5,17,19,20]. A few publications are concerned with nonflat cracks [2,9,11]; those of these publications that deal with three-dimensional problem statements [11] analyze only a wave field far from the defect, which gives a little information on brittle fracture.…”

Wave Propogation and Crack Detection in Layered Structures

“…More numerical pulse-echo scan-images, as well as s.c.s. and scattering diagrams, can be found in [13,14].…”

“…(2.4) with a non-classical domain Ω, we use a variational Galerkin scheme with axially symmetric δ-like trial and test functions ϕ k set at the nodes (x k , y k ) of a grid covered Ω with a step h [13,15]. The axial symmetry allowed us to gain most benefit in reducing numerical costs spent on v obtaining.…”

“…In the ultrasonic crack detection models the normal mode expansion (1.12) is especially convenient for simulating distant inspection of interface and near surface defects, while the bulk waves asymptotics (1.16) are used for deepened flaws [13,14].…”