2000
DOI: 10.1109/20.822538
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Thin-skin eddy-current interaction with semielliptical and epicyclic cracks

Abstract: Eddy-current probe impedance variations due to interactions with planar cracks have been calculated for the thin-skin regime. In this regime, the skin depth of the induced current is small compared to the crack depth and length, allowing approximations to be made. The approximations have been used by others to show that the thin-skin field at the surface of a crack is governed by a potential satisfying the two-dimensional (2-D) Laplace equation. In fact, the transverse magnetic potential at the crack face, def… Show more

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Cited by 24 publications
(9 citation statements)
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“…It can be seen from (14) and (16) that (10) is not satisfied exactly but is approximated by neglecting ψ 2 in the integral. Because ψ 2 is small compared with ψ 1 and the integral term is itself relatively small, the approximation is reasonable as can be corroborated from the comparison of direct problem predictions with experiment [11].…”
Section: Approachmentioning
confidence: 55%
“…It can be seen from (14) and (16) that (10) is not satisfied exactly but is approximated by neglecting ψ 2 in the integral. Because ψ 2 is small compared with ψ 1 and the integral term is itself relatively small, the approximation is reasonable as can be corroborated from the comparison of direct problem predictions with experiment [11].…”
Section: Approachmentioning
confidence: 55%
“…The first group is based on numerical methods such as the finite element method (FEM) (Biro and Richeter, 1991) or the volume integral method (VIM) which provide very accurate results but also require an expensive computational effort. In this group a very important place is occupied by the integral methods like boundary element method (BEM) for simulations of eddy current inspections of defects having negligible or narrow opening (Bowler, 1994;Bowler et al, 1994;Bowler and Harfield, 2000). A second group comprises analytical models, mainly for 2D cases, which are generally based on assumptions regarding the symmetry of the considered models (Dodd and Deeds, 1968;Theodoulidis and Kriezis, 2006).…”
Section: Ect Methodsmentioning
confidence: 99%
“…In addition, The crack is assumed to have constant depth b and width . The results derived by Harfield and Bowler [31][32][33] can be used to derive the results for the tag's impedance.…”
Section: A Sensing Principles With Varying Temperaturementioning
confidence: 99%