Three-Dimensional Ultrasonic Crack Detection in Anisotropic Materials

Abstract

The scattering of probe-generated ultrasonic fields incident upon a strip-like crack in an anisotropic half-space is discussed. In the situation considered, two possibly coinciding probes are attached to the surface of the half-space. One is transmitting waves incident upon the crack and the other one is receiving the scattered waves. An electric signal response is calculated via an electromechanical reciprocity relation. For a crack far away from the probes and the surface, an approximate expression is calculated. Several numerical examples are presented for an isotropic and a transversely isotropic solid. The results are presented as A-, B-, and C-scans.

Scattering of Elastic Waves by a Rectangular Crack in a Thick-Walled Anisotropic Solid

“…(12) with d replaced by r and the superscript 't' replaced by superscript 'r'. /3j pq is the solution to the system of equations (7) and thus involves the transmitting transducer and the crack. It should be noted that the expression for 6T above Figure 2.…”

“…In anisotropic media there is less work done, see Zhang and Gross [2] and Zhang [6] for surveys. Especially in 3D there seems to be very few contributions, but Mattsson et al [7] have considered a strip-like crack. Here a rectangular crack in an anisotropic component is considered and the crack may, furthermore, be located close to a planar back surface.…”

Exact solutions of stress intensity factor histories for a half plane crack in a transversely isotropic solid under transient point shear loading on the crack faces

“…Lin and Keer (1989) performed the three-dimensional analysis of cracks in a layered transversely isotropic media. Mattsson et al (1997) investigated the 3D ultrasonic crack detection in anisotropic materials. In their recent works, Zhao (2001) and Xie (1999, 2000) obtained exact solutions of mode I problems for a half plane crack in a transversely isotropic material due to both impact loads and moving loads.…”

Kirchhoff evaluation of scattered elastic wavefields in anisotropic media

“…[1][2][3][4] Recently, a number of articles has been published for general anisotropic media, where-dependent on the respective regime-different approximations have been applied in the theoretical treatment. [5][6][7][8][9][10] In this Letter, the three-dimensional scattering problem for anisotropic materials is considered by applying the elastodynamic Kirchhoff approximation to the case of tractionfree scatterers. Based on a suitable mathematical formulation, relationships are obtained by asymptotic evaluation which are convenient for numerical computation.…”