Abstract
Volume-integral equations have proven to be very successful in the computation of eddy-current probe-flaw responses for NDE problems having a number of simple geometries. This approach to NDE computations has proven superior to the finite-element approach in both accuracy and computer resources required, and is the basis of our proprietary code VIC-3D1. The volume-integral approach, however, is not as well adapted to accommodating the complex geometries sometimes required in practical applications. An example is the separation of edge and corner effects from the response of a flaw. We will discuss an extension of the volume-integral approach that incorporates boundary-integral equations to provide a description of complicated surface geometries.
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References
Sabbagh Associates, Inc. “An Eddy-Current Model For Three-Dimensional Nondestructive Evaluation of Advanced Composites,” Final Report, Naval Surface Warfare Center-White Oak, Silver Spring, MD, 25 July, 1988.
L. D. Sabbagh, H. A. Sabbagh, “A Computer Model of Eddy-Current Probe-Crack Interaction,” Review of Progress in Quantitative Nondestructive Evaluation, Brunswick, ME, July, 1989.
L. D. Sabbagh, K. H. Hedengren, D. C. Hurley, “Interaction of Flaws with a Ferrite-Core Eddy Current Probe: Comparison between Model and Experiment,” D. O. Thompson and D. E. Chimenti, editors, Review of Progress in Quantitative Nondestructive Evaluation Vol 10A, p 883, Plenum, New York, 19
C. Müller, Foundations of the Mathematical Theory of Electromagnetic Waves. New York: Springer-Verlag, 1969.
A. J. Poggio and E. K. Miller, “Integral Equation Solutions of Three-dimensional Scattering Problems”, in R. Mittra, ed., Computer Techniques for Electromagnetics, Chapter 4. Oxford: Pergamon Press, 1973.
R. C. MacCamy and E. Stephan, “Solution Procedures for Three-Dimensional Eddy Current Problems,” J. Mathematical Analysis and Applications, Vol. 101, pp. 348–379, 1984.
J-S. Wang and N. Ida, “Utilization of Geometric Symmetries in “Edge” Based Boundary Integral Eddy Current Solutions,” IEEE Trans. Magnetics, Vol. 28, No. 2, March 1992, pp. 1704–1707.
T. J. R. Hughes, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Englewood Cliffs: Prentice-Hall, 1987.
M. S. Ingber and R. H. Ott, “An Application of the Boundary Element Method to the Magnetic Field Integral Equation,” IEEE Trans. Antennas and Propagation, Vol. 39, No. 5, May 1991, pp. 606–611.
K. Hayami, “High Precision Numerical Integration Methods for 3-D Boundary Element Analysis,” IEEE Trans. Magnetics, Vol. 26, No. 2, March 1990, pp. 603–606.
D. C. Hurley, K. H. Hedengren, and J. D. Young, in Review of Progress in QNDE, vol. 11, eds. D. O. Thompson and D. E. Chimenti (Plenum, New YOrk, 1992), p. 1137.
R. F. Harrington, Time-Harmonic Electromagnetic Fields. New York: McGraw-Hill, 1961.
Z. J. Cendes, “Vector Finite Elements for Electromagnetic Field Computation,” IEEE Trans. Magnetics, Vol. 27, No. 5, September 1991, pp. 3958–3966.
A. Bossavit and I. Mayergoyz, “Edge-Elements for Scattering Problems,” IEEE Trans. Magnetics, Vol. 25, No. 4, July 1989, pp. 2816–2821.
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© 1995 Plenum Press, New York
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Murphy, K., Sabbagh, H.A. (1995). Boundary-Integral Equations in Eddy-Current Calculations. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1987-4_30
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DOI: https://doi.org/10.1007/978-1-4615-1987-4_30
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