The generation and reflection of guided elastic waves in hollow cylinders with corrosion defects have been investigated numerically for the purpose of nondestructive evaluation (NDE) of tubular structures. A new guided wave transducer model, time-delay periodic ring arrays (TDPRAs), has been used to generate the axisymmetric guided wave modes in hollow cylinders, and this is simulated by a finite element calculation. Unidirectional guided wave emission can be achieved by arranging a TDPRA’s parameters according to the principle of constructive and destructive interference. The guided wave reflections by axisymetric and nonaxisymmetric corrosion defects are analyzed using a 2-D and a 3-D FE simulation, respectively. The reflection features as well as mode conversion under the L0,1 and L0,2 mode incidences are discussed in association with the corrosion depth, the axial and circumferential extents in hollow cylinders.

1.
Chimenti
,
D. E.
,
1997
, “
Guided Waves in Plates and Their Use in Materials Characterization
,”
Appl. Mech. Rev.
,
50
, pp.
247
284
.
2.
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
.
3.
Alleyne
,
D. N.
, and
Cawley
,
P.
,
1997
, “
Long Range Propagation of Lamb Waves in Chemical Plant Pipework
,”
Mater. Eval.
,
55
, pp.
504
508
.
4.
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
.
5.
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
.
6.
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
.
7.
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
.
8.
Kino, G. S., 1987, Acoustic Waves: Devices, Imaging and Analog Signal Processing, Prentice-Hall, Englewood Cliffs, NJ, Ch. 4.
9.
Rose
,
J. L.
,
Pelts
,
S. P.
, and
Quarry
,
M. J.
,
1998
, “
A Comb Transducer Model for Guided Wave NDE
,”
Ultrasonics
,
36
, pp.
163
168
.
10.
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
.
11.
Rose
,
J. L.
,
Jiao
,
D.
, and
Spanner
, Jr.,
J.
,
1996
, “
Ultrasonic Guided Wave NDE for Piping
,”
Mater. Eval.
,
54
, pp.
1310
1313
.
12.
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.
13.
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
.
14.
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
.
15.
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
.
16.
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
.
17.
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
.
18.
Bath, K. J., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ.
19.
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.
20.
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.
21.
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
.
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