Abstract
The long-range objective of the work reported here is to provide a theoretical basis for the prediction of the probability of flaw detection in eddy current nondestructive evaluation (NDE). As demonstrated in a previous communication [1], much of the labor involved in probability of detection analyses can be transferred to a computer if one has available a reliable algorithm for the prediction of flaw signals as a function of flaw size and shape, probe geometry, and the other parameters defining an eddy current inspection. Because there is no simplifying symmetry in the interaction of a general eddy current field with a flaw of arbitrary shape and position, the model used for flaw signal predictions must be three dimensional, and capable of predicting the probe impedance change for a flaw at an arbitrary position in the field of an eddy current probe. The immediate objective of the present work is to develop such a three-dimensional model.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
R. E. Beissner, K. A. Bartels, and J. L. Fisher, “Prediction of the Probability of Eddy Current Flaw Detection,” in Review of Progress in Quantitative NDE, edited by D. O. Thompson and D. E. Chimenti (Plenum, New York, 1988), Vol. 7.
R. E. Beissner, “Eddy Current Response to Three-Dimensional Flaws by the Boundary Element Method,” in Review of Progress in Quantitative NDE, edited by D. O. Thompson and D. E. Chimenti (Plenum, New York, 1987), Vol. 6A.
R. E. Beissner, “Boundary Element Model of Eddy Current Flaw Detection in Three Dimensions,” J. Appl. Phys. 60, 352 (1986).
F. J. Rizzo and D. J. Shippy, “An Advanced Boundary Integral Equation Method for Three-Dimensional Thermoelasticity,” Int. J. Num. Methods Eng. 11, 1753 (1977).
B. A. Auld, “Theoretical Characterization and Comparison of Resonant Probe Microwave Eddy Current Testing with Conventional Low Frequency Eddy Current Methods,” in Eddy Current Characterization of Materials and Structures, ASTM STP 722, edited by G. Birnbaum and G. Free (American Society for Testing and Materials, Philadelphia, 1981), p. 332.
R. E. Beissner, “A Boundary Element Model for Eddy Current NDE,” in Proceedings of the Third National Seminar on Ferromagnetic NDE, edited by S. Marinov (Western Atlas Co., Houston, 1988).
R. E. Beissner, “Scalar Potential Model of Eddy Current Interactions with Three-Dimensional Flaws,” submitted to Journal of Nondestructive Evaluation.
R. E. Beissner, “Approximate Model of Eddy Current Probe Impedance for Surface-Breaking Flaws,” submitted to Journal of Nondestructive Evaluation.
A. M. Lewis, D. H. Michael, M. L. Lugg, and R. Collins, “Thin-Skin Surface Fields in Electromagnetic Methods of Crack Measurement,” these proceedings and references cited therein.
S. K. Burke, “A Perturbation Method for Calculating Coil Impedance in Eddy Current Testing,” J. Phys. D: Appl. Phys. 18, 1745 (1985).
J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962), pp. 236–239.
T. B. A. Senior, Appl. Sci. Res. B 8, 418 (1960).
A. Nicholas, “3D Eddy Current Solutions by BIE Techniques,” IEEE Trans. Mag. MAG-24, 130 (1988).
A. J. Poggio and E. K. Miller, “Integral Equation Solutions of Three-Dimensional Scattering Problems,” in Computer Techniques in Electromagnetics, edited by R. Mittra (Pergamon, New York, 1973), p. 159.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer Science+Business Media New York
About this chapter
Cite this chapter
Beissner, R.E. (1989). A Three-Dimensional Boundary Element Model for Eddy Current NDE. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0817-1_29
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0817-1_29
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8097-2
Online ISBN: 978-1-4613-0817-1
eBook Packages: Springer Book Archive