Scattering of longitudinal and transverse waves by a sub-surface crack

✍ Scribed by R.J. Brind; J.D. Achenbach

• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 465 KB
• Volume: 78
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(81)80124-1

✦ Synopsis

The scattering of time-harmonic longitudinal and transverse waves by a twodimensional sub-surface crack, which is perpendicular to the free surface of an elastic half-space, is investigated. The boundary-value problem for the scattered field is reduced to an uncoupled system of singular integral equations, which are solved numerically. At large distances from the crack the scattered field is shown to consist of outgoing Rayleigh and cylindrical body waves, and expressions for the time averaged power flux in the latter are given. Graphs of the variation of these quantities witt i the frequency and the angle of observation are presented for the case of a body wave incident at 45* to the surface. These results are compared to the corresponding results for a surface-breaking crack. Some reciprocity relations, between the scattered far-fields generated by different incident waves, which provide a check on the analysis, are examined.