Abstract
Eddy current techniques have been widely used in the NDE inspection of aircraft engine components. Depending on the flaw characteristics and specimen composition, various EC probe designs have been employed to achieve the maximum probability of detection (POD). Traditionally, the effectiveness of a probe design for a given inspection is determined experimentally. In particular, parameters such as probe types, operating frequency, scan spacing, etc. are evaluated experimentally in terms of POD. It is obvious that this is a costly way of defining inspection parameters. A more cost-effective alternative is to evaluate the test parameters through the use of numerical simulation. This can be done by casting the entire EC inspection process in terms of a numerical model governed by a set of integral equations. By computing the solutions to the integral equations, outputs in the form of impedance changes due to flaws can be used to generate the POD. Previously, we have introduced a modified version of the Hertzian magnetic potential approach for eddy current probe design [1]–[3]. In those papers, it was shown that the formulation can be used to solve problems with arbitrary geometries including geometrical singularities such as edges and corners. In the present paper, we have modified the boundary integral equations (BIEs) formulation for computing the impedance change in the presence of ideal tight cracks. Some unique features of this model include the allowance for arbitrarily shaped air core probes and test components that include singular geometries.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
N. Nakagawa and J. Chao, “Extended Magnetic Potential Method for Quasi-static Electromagnetism and Eddy Current Phenomena,” Review of Progress in QNDE, Vol. 15A. D.O. Thompson and D.E. Chementi, Eds., New York: Plenum Press, pp 339–345, 1995.
J. Chao, D. Lehther, J. Moulder and N. Nakagawa, “Eddy Current Flow Near an Edge: A Comparison Between Stratton-Chu and Magnetic Potential Formulations”, “Review of Progress in QNDE,” Vol. 15A. D.O. Thompson and D.E. Chementi, Eds., New York: Plenum Press, pp 355–360, 1995.
D. Lehther, J. Chao, N. Nakagawa and J. Moulder, “Edge Crack Detection: A Theoretical and Experimental Study,” Review of Progress in QNDE, Vol. 15A. D.O. Thompson and D.E. Chementi, Eds., New York: Plenum Press, pp 361–368, 1995.
P.C. French and L.J. Bond, “Finite Element Modeling of Eddy Current Nondestructive Evaluation (NDE).” J. Nondestructive Eval., Vol. 7, pp 55–70, 1988.
W.S. Dunbar, “The Volume Integral Method of Eddy Current Modeling,” J. Nondestructive Eval., Vol.5, pp 9–14, 1985.
W.S. Dunbar, “The Volume Integral Method of Eddy Current Modeling: Verification,” J. Nondestructive Eval., Vol. 7, 43–54, 1988.
W. Lord, Y. Sun, S. Udpa and S. Nath, “A Finite Element Study of the Remote Field Eddy Current Phenomenon,” IEEE Trans, on Magnetics, Vol. 24, No. 1, pp 435–438, January 1988.
Y. Sun, “Finite Element Study of Diffusion Energy Flow in Low Frequency Eddy Current Fields,” Materials Evaluation, Vol. 47, pp 87–92, January 1989.
J.R. Bowler, “Eddy Current Interaction with an Ideal Crack: The Forward Problem,” J. of Applied Physics, Vol. 75, pp 8128–8137, June 1994.
J. Chao, Y. Liu, F. Rizzo, P. Martin and L. Udpa, “Regularized Integral Equations and Curvilinear Boundary Elements for Electromagnetic Wave Scattering in Three Dimensions,” “IEEE Trans, on Ant. and Propag.”, Vol. 4, No. 12, December 1995.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Chao, J., Nakagawa, N., Raulerson, D., Moulder, J. (1997). A General Boundary Integral Equation Approach to Eddy Current Crack Modeling. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Review of Progress in Quantitative Nondestructive Evaluation, vol 16. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5947-4_36
Download citation
DOI: https://doi.org/10.1007/978-1-4615-5947-4_36
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7725-2
Online ISBN: 978-1-4615-5947-4
eBook Packages: Springer Book Archive