Vector-potential boundary-integral evaluation of eddy-current interaction with a crack

IEEE Transactions on Magnetics

Volumn 33, Issue 5 PART 3, 1997, Pages 4287-4294

  Bowler, J R ^a   Yoshida, Y ^a   Harfield, N ^b  

^a UNIVERSITY OF SURREY   (United Kingdom)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Crack; Eddy current; Integral equation

Indexed keywords

CRACKS; INTEGRAL EQUATIONS; METALS; NONDESTRUCTIVE EXAMINATION; NUMERICAL ANALYSIS;

BOUNDARY-INTEGRAL EVALUATION;

EDDY CURRENTS;

EID: 0031224213     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.620437     Document Type: Article

References (22)

1. J. R. Bowler, "Eddy current interaction with an ideal crack, Part I: The forward problem," J. Appl. Phys., vol. 75, no. 12, pp. 8128-8137, 1994.
2. R. F. Harrington, Time Harmonic Electromagnetic Fields. New York: McGraw-Hill, 1961.
3. C. J. Bouwkamp, "Diffraction theory," Rep. Progress Phys., vol. 17, pp. 35-100, 1954.
4. B. P. Popovic, M. B. Drogovic, and A. R. Djordjevic, Analysis and Synthesis of Wire Antennas. New York: Wiley, 1982, ch. 1.
5. M. N. O. Sadiku, Numerical Techniques in Electromagnetics. Boca Raton, FL: CRC, 1992.
6. J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations. New York: Dover, 1952.
7. O. D. Kellogg, Foundations of Potential Theory. New York: Dover, 1953.
8. B. A. Auld, F. G. Muennemann, and M. Riaziat, "Quantitative modelling of flaw responses in eddy current testing," in Research Techniques in Nondestructive Testing, vol. 7, R. Sharpe, Ed. London, U.K.: Academic, 1984, ch. 2.
9. D. H. Michael, R. T. Waechter, and R. Collins, "The measurement of surface cracks in metals by using a.c. electric fields," Proc. Roy. Soc. Lond., A, vol. 381, pp. 139-157, 1982.
10. J. A. Stratton, Electromagnetic Theory. New York: McGraw-Hill, 1941, p. 191.
11. J. R. Bowler, S. A. Jenkins, H. A. Sabbagh, and L. D. Sabbagh, "Eddy-current probe impedance due to a volumetric flaw," J. Appl. Phys., vol. 70, no. 3, pp. 1107-1114, 1991.
12. J. R. Bowler, "Eddy current field theory for a flawed conducting half-space," in Review of Progress in Quantitative Nondestructive Evaluation, vol. 5A. New York: Plenum, 1990, pp. 149-155.
13. A. H. Kahn, R. Spal, and A. Feldman, "Eddy-current losses due to a surface crack in conducting material," J. Appl. Phys., vol. 48, pp. 4454-4459, 1977.
14. N. Harfield and J. R. Bowler, "Analysis of eddy-current interaction with a surface-breaking crack," J. Appl. Phys., vol. 76, no. 8, pp. 4853-4856, 1994.
15. N. Harfield, Y. Yoshida, and J. R. Bowler, "Low-frequency perturbation theory in eddy-current nondestructive evaluation," J. Phys. D: Appl. Phys., vol. 80, no. 7, pp. 4090-4100, 1996.
16. N. Harfield and J. R. Bowler, "Solution of the two-dimensional problem of a crack in a uniform field in eddy-current nondestructive evaluation," J. Phys. D: Appl. Phys., vol. 28, pp. 2197-2205, 1995.
17. J. B. Keller, "Diffraction by an aperture," J. Appl. Phys., vol. 28, pp. 426-444, 1957.
18. S. N. Karp and J. B. Keller, "Multiple diffraction by an aperture in a hard screen," Optica Acta, vol. 8, pp. 61-72, 1961.
19. J. B. Keller, "Geometrical theory of diffraction," J. Opt. Soc. Amer., vol. 52, pp. 116-130, 1962.
20. N. Harfield and J. R. Bowler, "A geometrical theory for eddy-current nondestructive evaluation," Proc. Roy. Soc. Lond. A, vol. 453, pp. 1121-1152, 1997.
21. R. F. Harrington, Field Computation by Moment Methods. New York: Macmillan, 1968.
22. A. Sommerfeld, Optics. New York: Academic, 1964.