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TECHNICAL PAPERS

An FEM Simulation for Guided Elastic Wave Generation and Reflection in Hollow Cylinders With Corrosion Defects

[+] Author and Article Information
Wenhao Zhu

Institute for Microstructural Sciences, National Research Council, Ottawa, Ontario K1A OR6, Canadae-mail: wenhao.zhu@nrc.ca

J. Pressure Vessel Technol 124(1), 108-117 (Sep 12, 2001) (10 pages) doi:10.1115/1.1428331 History: Received December 22, 1988; Revised September 12, 2001
Copyright © 2002 by ASME
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References

Chimenti,  D. E., 1997, “Guided Waves in Plates and Their Use in Materials Characterization,” Appl. Mech. Rev., 50, pp. 247–284.
Rose,  J. L., Rajana,  K. M., and Carr,  F. T., 1994, “Ultrasonic Guided Wave Inspection Concepts for Steam Generator Tubing,” Mater. Eval., 52, pp. 307–311.
Alleyne,  D. N., and Cawley,  P., 1997, “Long Range Propagation of Lamb Waves in Chemical Plant Pipework,” Mater. Eval., 55, pp. 504–508.
Ditri,  J. J., and Rose,  J. L., 1992, “Excitation of Guided Elastic Wave Modes in Hollow Cylinders by Applied Surface Tractions,” J. Appl. Phys., 72, pp. 2589–2597.
Alleyne,  D. N., and Cawley,  P., 1996, “The Excitation of Lamb Waves in Pipes Using Dry Coupled Piezoelectric Transducers,” J. Nondestruct. Eval., 15, pp. 11–20.
Fortunko,  C. M., King,  R. B., and Tan,  M., 1982, “Nondestructive Evaluation of Planar Defects in Plates Using Low Frequency SH Waves,” J. Appl. Phys., 53, pp. 3450–3458.
Bottger,  W., Schneider,  H., and Weingarten,  W., 1987, “Prototype EMAT System for Tube Inspection With Guided Ultrasonic Waves,” Nucl. Eng. Des., 102, pp. 356–376.
Kino, G. S., 1987, Acoustic Waves: Devices, Imaging and Analog Signal Processing, Prentice-Hall, Englewood Cliffs, NJ, Ch. 4.
Rose,  J. L., Pelts,  S. P., and Quarry,  M. J., 1998, “A Comb Transducer Model for Guided Wave NDE,” Ultrasonics, 36, pp. 163–168.
Monkhouse,  R. S. C., Wilcox,  P. D., and Cawley,  P., 1997, “Flexible Interdigital PVDF Transducer for the Generation of Lamb Waves in Structures,” Ultrasonics, 35, pp. 489–498.
Rose,  J. L., Jiao,  D., and Spanner,  J., 1996, “Ultrasonic Guided Wave NDE for Piping,” Mater. Eval., 54, pp. 1310–1313.
Zhu, W., and Rose, J. L., 1999, “Lamb Wave Generation and Reception With Time-Delay Periodic Linear Arrays: A BEM Simulation and Experimental Study,” IEEE Trans. Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 46, pp. 654–664.
Ditri,  J. J., 1994, “Utilization of Guided Elastic Waves for the Characterization of Circumferential Cracks in Hollow Cylinders,” J. Acoust. Soc. Am., 96, pp. 3769–3775.
Zhuang,  W., Shah,  A. H., and Datta,  S. K., 1997, “Axisymmetric guided wave scattering by cracks in welded steel pipes,” ASME J. Pressure Vessel Technol., 119, pp. 401–406.
Alleyne,  D. N., Low,  M. J. S., and Cawley,  P., 1998, “The Reflection of Guided Waves from Circumferential Notches in Pipes,” ASME J. Appl. Mech., 65, pp. 635–641.
Gazis,  D. C., 1959, “Three-Dimensional Investigation of the Propagation of Waves of Hollow Circular Cylinders—I. Analytical Foundation, II. Numerical Results,” J. Acoust. Soc. Am., 31, pp. 568–578.
Silk,  M. G., and Bainton,  K. F., 1979, “The Propagation in Metal Tubing of Ultrasonic Wave Modes Equivalent to Lamb Waves,” Ultrasonics, 17, pp. 11–19.
Bath, K. J., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ.
Lowe, M., Alleyne, D. N., and Cawly, P., 1997, “Mode conversion of guided waves by defects in pipes,” Review of Progress in Quantitative NDE, D. O. Thompson and D. E. Chimenti, eds., Plenum Press, New York, NY, Vol. 16, pp. 1261–1268.
Zhu, W., Chahbaz, A., and Brassard, M., 2000, “Time-Delay Periodic Linear Array: Unidirectional Guided Wave Transducer for Ultrasonic NDT Applications,” 26th Review of Progress in Quantitative NDE Conference, D. O. Thompson and D. E. Chimenti, eds., Vol. 19, pp. 1057–1064.
Zhu,  W., Rose,  J. L., Barshinger,  J. N., and Agarwala,  V. S., 1998, “Ultrasonic Guided Wave NDT for Hidden Corrosion Detection,” Res. Nondestruct. Eval., 10, pp. 205–225.

Figures

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Phase velocity dispersion curves for axisymmetric guided wave modes in a 3-in., schedule 40 steel pipe (76 mm i.d, 5.5 mm wall thickness)
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The out-of-plane displacement component |ur|/ur2+uz2 versus the frequency for the axisymmetric guided modes at the outer surface of a 3-in., schedule 40 steel pipe (76 mm i.d., 5.5 mm wall thickness)
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A time-delay periodic ring array (TDPRA) for axisymmetric guided elastic wave generation in a hollow cylinder
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Predicted L(0,1) mode waveforms received at a surface point positioned 500 mm away from the TDPRA’s center in (a) the enhanced side, and (b) the weakened side, using a 6-cycle, 173.6 kHz center frequency toneburst
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Predicted L(0,2) mode waveforms received at a surface point positioned 500 mm away from the TDPRA’s center in (a) the enhanced side, and (b) the weakened side, using a 6-cycle, 100-kHz center frequency toneburst
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Predicted 2-D Cph-f spectrums for (a) the L(0,1) mode, and (b) the L(0,2) mode, generated with the TDPRAs
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Simulated corrosion defects in a hollow cylinder—(a) 2-D axisymmetric corrosions at outer and inner surfaces with different edge shapes, (b) a 3-D non-axisymmetric corrosion defect with a longitudinal plane of symmetry
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Predicted reflection waves by an outer corrosion defect with 51 percent through-wall depth under the L(0,1) mode incidence at 173.6 kHz frequency, by observing (a) out-of-plane displacement, and (b) in-plane displacement
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Predicted reflection waves by an inner corrosion defect with 51 percent through-wall depth under the L(0,1) mode incidence at 173.6 kHz frequency, by observing (a) out-of-plane displacement, and (b) in-plane displacement
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The 2-D Cph-f spectrum of the reflection waves by an outer corrosion defect under the L(0,1) mode incidence at 173.6 kHz frequency
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Predicted L(0,1) mode reflection coefficients versus corrosion depth for different corrosion locations and edge shapes under the L(0,1) mode incidence at 173.6 kHz frequency
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Reflection of the L(0,1) mode by a short corrosion defect at outer surface, showing the merged reflection waves from the front and rear edges of the corrosion
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Predicted reflection waves by an outer corrosion defect with 51 percent through-wall depth under the L(0,2) mode incidence at 100 kHz frequency, by observing (a) the in-plane displacement, and (b) the off-plane displacement
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Predicted reflection waves by an inner corrosion defect with 51 percent through-wall depth under the L(0,2) mode incidence at 100 kHz frequency, by observing (a) in-plane displacement, and (b) out-of-plane displacement
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The 2-D Cph-f spectrum of the reflection waves by an outer corrosion defect under the L(0,2) mode incidence at 100 kHz frequency
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Predicted L(0,2) mode reflection coefficients versus corrosion depth for different corrosion locations and edge shapes under the L(0,2) mode incidence at 100 kHz frequency
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A schematic illustration of the 3-D finite element model for the nonaxisymmetric corrosion reflection of guided waves (the actual mesh has 80 elements in the axial direction)
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Circumferential distributions of axial (black) and radial (grey) displacements of the reflected waves in frequency-domain by an outer corrosion defect with (a) θ=45 deg, (b) θ=60 deg, (c) θ=75 deg, and (d) θ=90 deg
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Predicted reflection coefficients under the L(0,2) mode incidence at 100 kHz as functions of the circumferential extension of a corrosion defect with a depth of 67 percent wall thickness

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