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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

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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