Evaluation of a 3-d bOunded Defect in the Wall of a Metal Tube At Eddy Current Frequencies: the Direct Problem

References

• Collins , R. , Dover , W. D. , Bowler , J. R. and Miya , K. , eds. 1995 . Nondestructive Testing of Materials , Amsterdam : IOS Press .
   Google Scholar
• Granville , R. K. 1991 . In-service eddy current examination of non-ferrous industrial heat exchanger tubing . British J. NonDestructive Testing , 33 ( No. 8 ) : 403 – 408 . and "Probing the penetration depth," in Correspondence, British J. NonDestructive Testing, Vol. 33, No. 12, 593–594, 1991
   Google Scholar
• Ida , N. and Lord , W. 1985 . A finite element model for three-dimensional eddy current NDT phenomena . IEEE Trans. Magn. , MAG-21 ( No. 6 ) : 2635 – 2643 .
   Google Scholar
• Satake , K. , Tanaka , M. , Shimizu , N. , Araki , Y. and Morimoto , K. 1992 . Three-dimensional analysis on eddy current testing for s/g tubes . IEEE Trans. Magn. , MAG-28 ( No. 2 ) : 1466 – 1468 .
   Google Scholar
• Hashimoto , M. , Hashizume , H. , Sugiura , T. , Takagi , T. , Miya , K. and Seki , M. 1990 . Experiments and numerical analysis of eddy currents in the first wall of a fusion reactor . IEEE Trans. Magn. , MAG-26 ( No. 2 ) : 869 – 872 .
   Google Scholar
• Takagi , T. , Hashimoto , M. , Arita , S. , Norimatsu , S. , Sugiura , T. and Miya , K. 1990 . Experimental verification of 3-D eddy current analysis code using T-method . IEEE Trans. Magn. , MAG-26 ( No. 2 ) : 474 – 477 .
   Google Scholar
• Hashizume , H. , Yamada , Y. , Miya , K. , Toda , S. , Morimoto , K. , Araki , Y. , Satake , K. and Shimizu , N. 1992 . Numerical and experimental analysis of eddy current testing for a tube with cracks . IEEE Trans. Magn. , MAG-28 ( No. 2 ) : 1469 – 1472 .
   Google Scholar
• Ahmed , M. T. , Lavers , J. D. and Burke , P. E. 1990 . A unified approach for eddy current calculations in induction and /or skin effects 2-D problems . J. Electromagn. Waves Applic. , 4 ( No. 11 ) : 1055 – 1075 .
   Google Scholar
• Harrington , R. F. 1968 . Field Computation by Moment Methods , New York : Macmillan .
   Google Scholar
• Sabbagh , H. A. and Sabbagh , L. D. 1986 . An eddy-current model for threedimensional inversion . IEEE Trans. Magn. , MAG-22 ( No. 4 ) : 282 – 291 .
   Google Scholar
• Sabbagh , H. A. , Sabbagh , L. D. and Vernon , S. N. 1986 . Verification of an eddy-current flaw inversion algorithm . IEEE Trans. Magn. , MAG-22 ( No. 6 ) : 1881 – 1886 .
   Google Scholar
• Sabbagh , L. D. and Sabbagh , H. A. 1988 . Eddy-current modeling and flaw reconstruction . J. Nondestr. Eval. , 7 ( Nos 1/2 ) : 95 – 108 .
   Google Scholar
• Mc Kirdy , D. McA. 1989 . Recent improvements to the application of the volume integral method of eddy current modeling . J. Nondestr. Eval. , 8 ( No. 1 ) : 45 – 52 .
   Google Scholar
• Bowler , J. R. , Sabbagh , L. D. and Sabbagh , H. A. 1989 . A theoretical and computational model of eddy-current probes incorporating volume integral and conjugate gradient methods . IEEE Trans. Magn. , MAG-25 ( No. 3 ) : 2650 – 2664 .
   Google Scholar
• Bowler , J. R. , Sabbagh , L. D. and Sabbagh , H. A. 1990 . Eddy-current probe impedance due to a surface slot in a conductor . IEEE Trans. Magn. , MAG-26 ( No. 2 ) : 889 – 891 .
   Google Scholar
• Bowler , J. R. , Jenkins , S. A. , Sabbagh , L. D. and Sabbagh , H. A. 1991 . Eddy-current probe impedance due to a volumetric flaw . J. Appl. Phys. , 70 ( No. 3 ) : 1107 – 1114 .
   Google Scholar
• Zorgati , R. , Lesselier , D. , Duchêne , B. and Pons , F. 1991 . Eddy current testing of anomalies in conductive materials, Part 1: Qualitative imaging via diffraction tomography techniques . IEEE Trans. Magn. , MAG-27 ( No. 6 ) : 4416 – 4437 .
   Google Scholar
• Zorgati , R. , Duchêne , B. , Lesselier , D. and Pons , F. 1992 . Eddy current testing of anomalies in conductive materials, Part 2: Quantitative imaging via deterministic and stochastic inversion techniques . IEEE Trans. Magn. , MAG-28 ( No. 3 ) : 1850 – 1862 .
   Google Scholar
• Chew , W. C. 1995 . Waves and Fields in Inhomogeneous Media , Edited by: Dudley , D. G. New York : IEEE Press .
   Google Scholar
• Bowler , J. R. 1994 . Eddy-current interaction with an ideal crack. I. The forward problem . J. Appl. Phys. , 75 ( No. 12 ) : 8128 – 8137 .
   Google Scholar
• Lovell , J. R. and Chew , W. C. 1987 . Response of a point source in a multicylindrically layered medium . IEEE Trans. Geosci. Remote Sensing , GRS-25 ( No. 6 ) : 850 – 859 .
   Google Scholar
• Singh , S. and Singh , R. 1990 . Application of transforms to accelerate the summation of periodic free-space Green's functions . IEEE Trans. Microwave Theory Tech. , MTT-38 ( No. 11 ) : 1746 – 1748 .
   Google Scholar
• Kinayman , N. and Aksun , M. I. 1995 . Comparative study of acceleration techniques for integrals and series in electromagnetic problems . Radio Sci. , 30 ( No. 6 ) : 1713 – 1722 .
   Google Scholar
• Singh , S. and Singh , R. 1993 . On the use of Levin's T-Transformation in accelerating the summation of series representing the free-space periodic Green's functions . IEEE Trans. Microwave Theory Tech. , MTT- 41 ( No. 5 ) : 884 – 886 .
   Google Scholar
• Sarkar , T. K. , ed. 1991 . Application of Conjugate-Gradient Methods to Electromagnetics and Signal Analysis , New York : Elsevier .
   Google Scholar
• Plemel , D. and Mohammad-Djafari , A. 1995 . Eddy current tomography in cylindrical geometry . IEEE Trans. Magn. , MAG-31 ( No. 3 ) : 2000 – 2003 .
   Google Scholar
• Habashy , T. , Groom , R. W. and Spies , B. R. 1993 . Beyond the Born and Rytov approximations: A nonlinear approach to electromagnetic scattering . J. Geophys. Res. , 98 ( No. B2 ) : 1759 – 1775 .
   Google Scholar
• Torres-Verdin , C. and Habashy , T. 1994 . Rapid 2.5-dimensional forward modeling and inversion via a new nonlinear scattering approximation . Radio Sci. , 29 ( No. 4 ) : 1051 – 1079 .
   Web of Science ®Google Scholar
• Zhdanov , M. S. and Fang , S. 1996 . Quasi-linear approximation in 3-D electromagnetic modeling . Geophys. , 61 ( No. 3 ) : 646 – 665 .
   Google Scholar
• Monebhurrun , V. , Duchêne , B. , Lesselier , D. and Zorgati , R. 1995 . “ Eddy current characterization of 3- D bounded defects in metal tubes using a wavefield integral formulation modeling ” . In Nondestructive Testing of Materials , Edited by: Collins , R. , Dover , W. D. , Bowler , J. R. and Miya , K. 195 – 202 . Amsterdam : IOS Press .
   Google Scholar
• Monebhurrun , V. , Duchêne , B. and Lesselier , D. May 1996 . “ On the 3-D eddy current nondestructive testing of metal tubes ” . In 3rd International Workshop on Electric and Magnetic Fields , May , 465 – 470 . Liège . Proc
   Google Scholar
• Zorgati , R. , Monebhurrun , V. , Gros , P. , Duchene , B. , Lesselier , D. and Chavant , C. 1997 . “ INES: 3D eddy current Imaging for a Nondestructive Evaluation System applied to steam generator tubes ” . In Review of Progress in Quantitative Nondestructive Evaluation , Edited by: Thompson , D. O. and Chimenti , D. E. Vol. 16A , 271 – 278 . New York : Plenum Press .
   Google Scholar
• Souriau , L. , Duchêne , B. , Lesselier , D. and Kleinman , R. E. 1996 . Modified gradient approach to inverse scattering for binary objects in stratified media . Inverse Problems , 12 ( No. 4 ) : 463 – 481 .
   Google Scholar
• Su , C.-C. 1987 . A simple evaluation of some principal value integrals for dyadic Green's function using symmetry property . IEEE Trans. Antennas Propagat. , AP-35 ( No. 11 ) : 1306 – 1307 .
   Google Scholar
• Chew , W. C. 1989 . Some observations on the spatial and eigenfunction representations of the dyadic Green's functions . IEEE Trans. Antennas Propagat. , AP-37 ( No. 10 ) : 1322 – 1327 .
   Google Scholar
• Lu , C.-C. and Liu , Q.-H. 1995 . A three-dimensional dyadic Green's function for elastic waves in multilayer cylindrical structures . J. Acoust. Soc. Am. , 98 ( No. 5 ) : 2825 – 2835 . Pt. 1
   Google Scholar
• Uesaka , M. , Nakanishi , T. , Miya , K. , Komatsu , H. , Aoki , K. and Kasai , K. 1995 . Micro eddy current testing by micro magnetic sensor array . IEEE Trans. Magn. , MAG-31 ( No. 1 ) : 870 – 876 .
   Google Scholar
• Murphy , R. K. , Sabbagh , H. A. , Chan , A. and Sabbagh , E. H. March 1997 . “ A volume-integral code for electromagnetic nondestructive evaluation ” . In Proc., Vol. 1, 276–282, 12th Annual Review of Progress in Applied Computational Electromagnetics March , Monterey
   Google Scholar