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Modelling of Ultrasonic Bulk Wave Scattering by an Axial Crack in a Pipe

Jacob Rubensson (Institutionen för tillämpad mekanik, Dynamik) ; Anders Boström (Institutionen för tillämpad mekanik, Dynamik)
Journal of Nondestructive Evaluation (01959298). Vol. 36 (2017), 2, p. Article no 19 .
[Artikel, refereegranskad vetenskaplig]

Modelling of ultrasonic bulk wave scattering by an internal, infinitely long, axial crack in a thick-walled pipe is considered. The problem is formulated as a hypersingular integral equation for the crack-opening displacement (COD), the hypersingularity arises in the Green’s tensor. The COD is expanded in Chebyshev functions which have the correct square-root singularity along the crack edges, thereby regularizing the integral equation. To discretize the integral equation it is likewise projected onto the same Chebyshev functions. A model of an ultrasonic rectangular vertically polarized shear wave contact probe is developed, and the signal response is calculated using a reciprocity argument. Some numerical examples demonstrate the possible application of the method, in particular investigating the importance of the pipe curvature.

Nyckelord: Crack, Cylindrical geometry, Non-destructive testing, Pipe, Wave propagation



Denna post skapades 2017-04-19. Senast ändrad 2017-08-14.
CPL Pubid: 248880

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Dynamik (1900-2017)

Ämnesområden

Matematik

Chalmers infrastruktur