Elastic wave 3D scattering on a crack edge in the weld joint

The paper generalizes the previously obtained solution to the three-dimensional problem of the volumetric elastic waves scattering on half-planes with the stress-free surfaces to calculate the ultrasonic waves scattering at the acute angle on the crack edge in welds, metals and plastics. It proposes a representation of the vector displacement potential in the transverse making it possible to reduce the 3D problem to three Wiener-Hopf independent equations. Each of these equations was solved by analogy with the known solutions for the 2D problem of the scattering waves incident on a half-plane perpendicular to its edge. Scattering waves’ potential and displacement were registered in the quadratures. Calculation results were verified by comparison with the experimental data obtained by scattering the longitudinal wave on the half-plane edge under conditions similar to those occurring during the weld ultrasonic flaw detection. The results obtained are relevant in improving identification and measurement of the crack coordinates with variable orientation using the ultrasonic flaw detection methods.

EDN: EUNZDH, https://elibrary/eunzdh

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