non-contact evaluation of thickness reduction of plates ...iv conferencia panamericana de end buenos...
TRANSCRIPT
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IV Conferencia Panamericana de END
Buenos Aires – Octubre 2007
Non-contact evaluation of thickness reduction of plates and pipes using
EMAT-generated guided wave
Ik-Keun Park, Yong-Kwon Kim and Jin-Hyuk Lee
Seoul National University of Technology
Seoul, 139-743, Korea
+82-970-6332
+82-977-4507
Yong-Sang Cho
Korea Electric Power Research Institute
Daejeon, 305-380, Korea
Jun-Hyun Lee
Pusan National University
Pusan, 609-735, Korea
Abstract
The evaluation of thickness reduction in structures such as plates and pipes by guided
waves is presented. Ultrasonic guided wave techniques have been widely studied and
successfully applied to various non-destructive applications with the advantage of long
range inspection. Non-contact methods for ultrasonic wave generation and detection
have been of a great concern and highly demanded in the guided wave techniques due to
their capability of wave generation and reception on surface of high temperature or on
rough surface. A non-contact EMAT (Electro-Magnetic Acoustic Transducer) technique
for guided waves is illustrated with some applications on monitoring of corrosion
simulated thickness reduction in structures. The EMAT technique is successfully
applied for the non-contact generation and detection of guided waves in the structures.
Promising features based on the dispersive behavior of selected wave modes are found
to quantify thickness reduction. The experimental results show that the mode cutoff
measurements provide a qualitative scheme to measure thinning defect while the change
in group velocity can be used as a quantitative parameter.
1. Introduction
It has been reported that in 1968, Wallance developed a non-contact technique using
EMAT (Electro Magnetic Acoustic Transducer) to generate and receive ultrasonic
waves in a metallic material with the lift-off of several mm from the surface of the test
material. In 1970 and 1980s, the technical advance and various applications of EMAT
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IV Conferencia Panamericana de END Buenos Aires – Octubre 2007 2
have been carried out by other researchers such as R.B. Thomson (3) and B.W. Maxfiled
(5, 6).
EMATs are able to generate and receive ultrasonic waves without contacting the surface
of test materials by the interaction of magnetic field and Eddy current which are induced
from magnets and coils into the test material. Thus, EMATs do not require any pre-
process or removal of coating or insulation on the test surface. But, it has been reported
that the effective lift-off should be less than 2 mm due to the rapid exponential decay of
the electromagnetic force from the surface.
Also another advantage with EMATs is that various wave modes can be generated
easily by change in the arrangement of magnets and coils. For example, shear horizontal
wave (SH wave) is not easy to generate with conventional PZT transducers due to the
coupling problem. But, this problem can be overcome easily by using EMATs since
EMATs do not require any coupling media between the transducer and the test material.
Ultrasonic guided waves have been noted as an effective method to inspect joints or
weld in plates and pipelines. It has been reported that the guided wave techniques are
successfully applied to inspection of the airplane (12)
. In the inspection of the corrosion
in a aluminum plate using guided waves, it is found that many features of the Lamb
waves such as the cutoff frequency, group velocity, and transmission and reflection
factors are sensitive to the thickness reduction of a plate (13).
In this paper, the use of EMAT is proposed as a new efficient non-contact NDE tool to
monitor the thickness variation of corrosion-simulated plates and pipes.
2. Understanding on the Ultrasonic Guided Wave Technique
As well known from earlier works, elastic waves propagating along thickness, d=2h of a
plate satisfy the Rayleigh-Lamb frequency equation.
1
22
24
)tan(
)tan(±
−−=
kq
pqk
qh
ph................................................................................................. (1)
Where the signs “+” and “-” on the right hand side are for symmetric and anti-
symmetric modes, respectively. p and q in eqn.(1) represent the corresponding wave
vector components of the partial longitudinal and shear modes in thickness direction as
illustrated in the equation below.
2
2
2 kC
pL
−
=
ω............................................................................................................. (2)
2
2
2 kC
qT
−
=
ω............................................................................................................. (3)
Where ω is the angular frequency and k is the wave number (11). Dispersion curves for a plate are numerically obtained from the eqn. (1). Fig. 1 shows
the phase and group velocity dispersion curves of a steel plate. Mode cutoff regions are
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IV Conferencia Panamericana de END Buenos Aires – Octubre 2007 3
also shown. Cp, Cg, f and d denote the phase velocity, group velocity, frequency and
thickness, respectively.
Fig. 1 Dispersion curves for a steel plate (CL=5.8mm/sec, CT=3.2mm/sec), S=
symmetric modes, A=antisymmetric modes.
Thickness reduction of plates can be detected based on the measurement of various
dispersion characteristics of guided wave modes. Especially, the phase velocity of a
narrow band signal, which is a function of the wavelength of EMAT, is a key
experimental parameter to select a desired mode at a given frequency. Alternatively,
other modes can also be generated by frequency tuning. The propagation characteristics
of guided wave modes need to be carefully observed to quantitatively evaluate various
thickness reductions. In this paper, among those features (13)
, the mode cutoff and group
velocity changes are used to assess the thickness reduction.
3. Principles and Features of Lamb-EMAT
The EMAT generation and reception of ultrasonic waves involve the three following
mechanisms: the Lorentz's effect, the magnetic effect and the magnetostrictive effect.
The Lorentz's effect exists in a conductive material while the magnetostrictive effect
appears in a ferro-magnetic material.
When the magnetic field, B, and Eddy current, Je, induced by the coil near the surface
are applied to the conductive material, Lorenz force is generated in the normal direction
to both magnetic filed and Eddy current. This force moves the material particle in the
direction that the force is applied. By applying the alternative current, the force
direction is also changed alternatively and consequently, the stress waves are generated
and propagated. (Fig. 2)
N
S
N
S
N
S
Jc
Je F
BF = Je × B
Fig. 2 Wave generation mechanism of the EMAT
0 1 2 3 4 5 60
1000
2000
3000
4000
5000
6000
7000
8000
9000
AAAA0000
SSSS0000
AAAA1111
SSSS1111
SSSS2222
fd[MHzfd[MHzfd[MHzfd[MHz·mm]mm]mm]mm]
AAAA2222
0 1 2 3 4 5 60
1,000
2,000
3,000
4,000
5,000
6,000
fd[MHzfd[MHzfd[MHzfd[MHz·mmmmmmmm
AAAA0000
SSSS0000
AAAA1111
SSSS1111
SSSS2222
AAAA2222
mode cutoff
region
Cg[m
/sC
g[m
/sC
g[m
/sC
g[m
/s
Cp[m
/s]
Cp[m
/s]
Cp[m
/s]
Cp[m
/s]
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IV Conferencia Panamericana de END Buenos Aires – Octubre 2007 4
In order to generate Lamb waves with EMATs, the coil and permanent magnets are
arranged as shown in Fig. 2. A permanent magnet is located above the meander coil
which is designed to have alternative direction of the current flow in each turn. The
center frequency of the EMAT is determined by the spacing of the coil. Usually, the
spacing of coil is 1/2 of the wavelength. This arrangement of the coil and magnets
results in Lamb wave in the conductive materials in which, the particle movement is
parallel to the surface.
4. Thinning Defect Monitoring
Fig. 3 shows the experimental setup for detection of thinning defect in aluminum, steel
plate and steel pipes using the Lamb wave. Fig. 4 shows a pair of EMATs and coils
used to generate and receive the Lamb waves.
Fig. 3 Schematic of Lamb-EMAT system for detection of thickness reduction in
specimens
Fig. 4 A pair of EMATs and coils
In order to consider the case of thickness reduction, the EMATs were placed on the
opposite side of the simulated corrosion defects. One of the EMATs was used as a
transmitter and the other was used as a receiver. The distance between the EMATs is
250 mm. The test specimens are shown in Fig. 5. In case of an aluminum plate whose
thickness is 2 mm and whose size is 1200 x 400 mm as shown in Fig. 5a, three artificial
defects to simulate thickness reduction due to corrosion were machined. The area of
each defect is 50 x 50 mm and the depths of the defects are 10, 20 and 30% of the plate
thickness. In case of steel plates whose thickness is 1 mm and whose size is 800 x 300
mm as shown in Fig. 5b, eight artificial defects simulating different thickness reductions
in the range between 3% and 20% of the plate thickness were machined. In case of
carbon steel pipes whose thickness is 4.5 mm and length is 2000 mm as shown in Fig.
5c, various defects were machined. The circumferential width of all defects is 30 mm.
The lengths of the defects are 30, 40, 50, 60 and 70 mm, and the thicknesses are 3, 5, 7,
10, 15, 20, 25 and 30% less the pipe thickness.
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IV Conferencia Panamericana de END Buenos Aires – Octubre 2007 5
50mm*50mm△d
△d/d=10%
△d/d=20%
△d/d=30%
50mm*50mm△d
△d/d=10%
△d/d=20%
△d/d=30%
(a) (b) (c)
Fig. 5 Dimensions and locations of simulated hidden corrosion defects in three
specimens.
The mode cutoff is one of the characteristics of the Lamb wave: a wave mode
disappears or its amplitude decays with the thickness reduction. In order to enhance the
detectibility of thickness reduction with mode cutoff, it is ideal to choose the Lamb
wave modes near mode cutoff regions (Fig. 1). The experiment results of mode cut-off
due to increasing thickness reduction are shown in Fig. 6. In case of an aluminum plate,
S1 was chosen as a mode sensitive to thickness reduction in terms of the mode cut-off.
Fig. 6a shows the waveforms of S1 mode at the center frequency of 1.4 MHz in the 2
mm-thick aluminum plates with no defect, 10, 20, and 30% thickness reduction,
respectively. In case of steel plates and pipes, A1 was chosen as a mode sensitive to
thickness reduction in terms of the mode cut-off. Fig. 6b and 6c show the waveforms of
A1 mode. The center frequencies are 1.8 MHz and 0.49 MHz in the 1 mm-thick steel
plates and 4.5 mm-thick pipes, respectively.
As shown in Fig. 6, it is found that the S1 and A1 modes disappear when the thickness
is sufficiently reduced. Therefore, S1 and A1 modes turn out to be useful modes to
detect the presence of thickness reduction in the plate and pipe considered here.
However, the mode cutoff cannot provide any quantitative evaluation of thickness
reduction (8, 9, 10 and 13)
.
Since the phase and group velocities of guided waves change as functions of frequency
and specimen thickness, the change in group velocity can be used for the evaluation of
thickness reductions described below.
In order to obtain a correlation between the change in group velocity and thickness
reduction, it is better to select the mode whose group velocity is discernibly changed
due to thickness (Fig. 1). Therefore, S0 and A1 modes were selected for evaluation of
thickness reduction.
As shown in Fig. 7, it is found that S0 and A1 modes change the group velocity due to
increasing thickness reductions. In case of an aluminum plate, S0 mode was chosen as a
mode sensitive to thickness reduction. Fig. 7a shows the waveforms of S0 mode at the
center frequency of 1.21 MHz in the 2 mm-thick aluminum plate with no defect, 10, 20,
and 30 % thickness reductions, respectively. In case of steel plates and pipes, A1 mode
was chosen as a mode sensitive to thickness reduction in terms of the change in the
group velocity. Fig. 7b and 7c show the waveforms of A1 mode. The center frequencies
are 2.09 MHz and 0.62MHz in the 1 mm-thick steel plates and 4.5 mm-thick pipes,
respectively (8, 9, 10 and 13)
.
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IV Conferencia Panamericana de END Buenos Aires – Octubre 2007 6
-0.15-0.1
-0.05
00.050.1
0.150.2
0.250.3
Defect-free
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
dd /∆ =10%
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
0.35
dd /∆ =20%
x 10-3
-0.15-0.1
-0.050
0.050.10.150.20.250.30.35
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
dd /∆ =30%
-0.15-0.1
-0.05
00.050.1
0.150.2
0.250.3
Defect-free
-0.15-0.1
-0.05
00.050.1
0.150.2
0.250.3
-0.15-0.1
-0.05
00.050.1
0.150.2
0.250.3
Defect-free
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
dd /∆ =10%
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
dd /∆ =10%
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
0.35
dd /∆ =20%
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
0.35
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
0.35
dd /∆ =20%dd /∆ =20%
x 10-3
-0.15-0.1
-0.050
0.050.10.150.20.250.30.35
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
dd /∆ =30%
x 10-3
-0.15-0.1
-0.050
0.050.10.150.20.250.30.35
-0.15-0.1
-0.050
0.050.10.150.20.250.30.35
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
dd /∆ =30%dd /∆ =30%
Time [sec.]
Am
plit
ude [
V]
-0.15-0.1
-0.05
00.050.1
0.150.2
0.250.3
Defect-free
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
dd /∆ =10%
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
0.35
dd /∆ =20%
x 10-3
-0.15-0.1
-0.050
0.050.10.150.20.250.30.35
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
dd /∆ =30%
-0.15-0.1
-0.05
00.050.1
0.150.2
0.250.3
Defect-free
-0.15-0.1
-0.05
00.050.1
0.150.2
0.250.3
-0.15-0.1
-0.05
00.050.1
0.150.2
0.250.3
Defect-free
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
dd /∆ =10%
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
dd /∆ =10%
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
0.35
dd /∆ =20%
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
0.35
-0.15-0.1
-0.050
0.050.1
0.150.2
0.250.3
0.35
dd /∆ =20%dd /∆ =20%
x 10-3
-0.15-0.1
-0.050
0.050.10.150.20.250.30.35
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
dd /∆ =30%
x 10-3
-0.15-0.1
-0.050
0.050.10.150.20.250.30.35
-0.15-0.1
-0.050
0.050.10.150.20.250.30.35
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
dd /∆ =30%dd /∆ =30%
Time [sec.]
Am
plit
ude [
V]
(a) (b) (c)
Fig. 6 Change in the amplitude of mode due to increasing thickness reductions in
(a) aluminum plate (S1 mode), (b) steel plates (A1 mode) and (c) pipes (A1 mode)
x 10
0.25-0.2- 0.1-0.05
00.050.10.150.20.25
0.25-
- 0.1-0.05
00.050.10.150.20.25
0.25
-0.1
- 0.1-0.05
00.050.10.150.20.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
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-0.15-0.1
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0.150.2
0.25
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-0.050
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0.150.2
0.25
-0.050
0.050.1
0.150.2
0.25
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-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0 1.2 1.4 1.6 1.8
x 10
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0
x 10
0 0.2 0.4 0.6 0.8 1.0
x 10-6
Defect-free
dd /∆ =10%dd /∆ =10%
dd /∆ =20%dd /∆ =20%
dd /∆ =30%dd /∆ =30%
Time [sec.]
Am
plit
ude [
V]
2
x 10
0.25-0.2- 0.1-0.05
00.050.10.150.20.25
0.25-
- 0.1-0.05
00.050.10.150.20.25
0.25
-0.1
- 0.1-0.05
00.050.10.150.20.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0.25
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0 1.2 1.4 1.6 1.8
x 10
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0
x 10
0 0.2 0.4 0.6 0.8 1.0
x 10-6
Defect-free
dd /∆ =10%dd /∆ =10%
dd /∆ =20%dd /∆ =20%
dd /∆ =30%dd /∆ =30%
Time [sec.]
Am
plit
ude [
V]
2
(a) (b) (c)
Fig. 7 Change in the group velocity due to increasing thickness reductions in (a)
aluminum plate (S0 mode), (b) steel plates (A1 mode) and (c) steel pipes (A1 mode)
(a) (b) (c)
Fig. 8 Results of the thinning defect monitoring: (a) aluminum plate, (b) steel
plates, and (c) steel pipes
1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.51
1.5
2
2.5
3
3.5
4Group velocity
Gro
up v
elo
city [
Gro
up v
elo
city [
Gro
up v
elo
city [
Gro
up v
elo
city [
㎜㎜ ㎜㎜// //
ffff·d [d [d [d [㎒㎒㎒㎒·
Defect freeDefect freeDefect freeDefect free 10%10%10%10%
20%20%20%20%
30%30%30%30%
AAAA0000
SSSS
AAAA0000
Am
plit
ude [
Am
plit
ude [
Am
plit
ude [
Am
plit
ude [
㎷㎷ ㎷㎷]] ]]
Time [Time [Time [Time [μμμμsec]sec]sec]sec] 20 40 80 100 0 60 120 140 180 200 160
Am
plit
ude [
Am
plit
ude [
Am
plit
ude [
Am
plit
ude [
㎷㎷ ㎷㎷]] ]]
Time [Time [Time [Time [μμμμsec]sec]sec]sec] 20 40 80 100 0 60 120 140 180 200 160
0 0 . 2 0 . 4 0 . 6 0 . 8 1 1 . 2 1 . 4 1 . 6 1 . 8 2
x 1 0- 4
- 0 . 0 6
- 0 . 0 4
- 0 . 0 2
0
0 . 0 2
0 . 0 4
0 . 0 6
0 . 0 8
Defect freeDefect freeDefect freeDefect free
0 0 . 2 0 . 4 0 . 6 0 . 8 1 1 . 2 1 . 4 1 . 6 1 . 8 2
x 1 0- 4
- 0 . 0 8
- 0 . 0 6
- 0 . 0 4
- 0 . 0 2
0
0 . 0 2
0 . 0 4
0 . 0 6
0 . 0 8
3%3%3%3%
0 0 . 2 0 . 4 0 . 6 0 . 8 1 1 . 2 1 . 4 1 . 6 1 . 8 2
x 1 0- 4
- 0 . 0 8
- 0 . 0 6
- 0 . 0 4
- 0 . 0 2
0
0 . 0 2
0 . 0 4
0 . 0 6
0 . 0 8
5%5%5%5%
0 0 . 2 0 . 4 0 . 6 0 . 8 1 1 . 2 1 . 4 1 . 6 1 . 8 2
x 1 0- 4
- 0 . 0 8
- 0 . 0 6
- 0 . 0 4
- 0 . 0 2
0
0 . 0 2
0 . 0 4
0 . 0 6
0 . 0 8
7%7%7%7%
0 0 . 2 0 . 4 0 . 6 0 . 8 1 1 . 2 1 . 4 1 . 6 1 . 8 2
x 1 0- 4
- 0 . 0 8
- 0 . 0 6
- 0 . 0 4
- 0 . 0 2
0
0 . 0 2
0 . 0 4
0 . 0 6
0 . 0 8
10%10%10%10%
0 0 . 2 0 . 4 0 . 6 0 . 8 1 1 . 2 1 . 4 1 . 6 1 . 8 2
x 1 0- 4
- 0 . 0 8
- 0 . 0 6
- 0 . 0 4
- 0 . 0 2
0
0 . 0 2
0 . 0 4
0 . 0 6
0 . 0 8
12%12%12%12%
0 0 . 2 0 . 4 0 . 6 0 . 8 1 1 . 2 1 . 4 1 . 6 1 . 8 2
x 1 0- 4
- 0 . 1
- 0 . 0 8
- 0 . 0 6
- 0 . 0 4
- 0 . 0 2
0
0 . 0 2
0 . 0 4
0 . 0 6
0 . 0 8
15%15%15%15%
0 0 . 2 0 . 4 0 . 6 0 . 8 1 1 . 2 1 . 4 1 . 6 1 . 8 2
x 1 0 - 4
- 0 . 0 6
- 0 . 0 4
- 0 . 0 2
0
0 . 0 2
0 . 0 4
0 . 0 6
0 . 0 8
17%17%17%17%
0 0 . 2 0 . 4 0 . 6 0 . 8 1 1 . 2 1 . 4 1 . 6 1 . 8 2
x 1 0- 4
- 0 . 0 6
- 0 . 0 4
- 0 . 0 2
0
0 . 0 2
0 . 0 4
0 . 0 6
0 . 0 8
20%20%20%20%
Am
plit
ude [
Am
plit
ude [
Am
plit
ude [
Am
plit
ude [
㎷㎷ ㎷㎷]] ]]
Time [Time [Time [Time [μμμμsec]sec]sec]sec] 20 40 80 100 0 60 120 140 180 200 160
Time [Time [Time [Time [μμμμsec]sec]sec]sec]
0 0 . 5 1 1 . 5
x 1 0- 4
- 1 5 0
- 1 0 0
- 5 0
0
5 0
1 0 0
1 5 0
0 0 . 5 1 1 . 5
x 1 0- 4
- 1 5 0
- 1 0 0
- 5 0
0
5 0
1 0 0
1 5 0
0 0 . 5 1 1 . 5
x 1 0- 4
- 1 5 0
- 1 0 0
- 5 0
0
5 0
1 0 0
1 5 0
0 0 . 5 1 1 . 5
x 1 0- 4
- 1 5 0
- 1 0 0
- 5 0
0
5 0
1 0 0
1 5 0
0 0 . 5 1 1 . 5
x 1 0- 4
- 1 5 0
- 1 0 0
- 5 0
0
5 0
1 0 0
1 5 0
0 0 . 5 1 1 . 5
x 1 0- 4
- 1 5 0
- 1 0 0
- 5 0
0
5 0
1 0 0
1 5 0
0 0 . 5 1 1 . 5
x 1 0- 4
- 1 5 0
- 1 0 0
- 5 0
0
5 0
1 0 0
1 5 0
0 0 . 5 1 1 . 5
x 1 0- 4
- 1 5 0
- 1 0 0
- 5 0
0
5 0
1 0 0
1 5 0
0 0 . 5 1 1 . 5
x 1 0- 4
- 1 5 0
- 1 0 0
- 5 0
0
5 0
1 0 0
1 5 0
Am
plit
ude [
Am
plit
ude [
Am
plit
ude [
Am
plit
ude [
㎷㎷ ㎷㎷]] ]]
Defect freeDefect freeDefect freeDefect free
3%3%3%3%
5%5%5%5%
7%7%7%7%
10%10%10%10%
12%12%12%12%
15%15%15%15%
17%17%17%17%
20%20%20%20%
20 40 80 100 0 60 120 140 180 200 160
-
IV Conferencia Panamericana de END Buenos Aires – Octubre 2007 7
The observed changes in group velocity caused by thickness reduction are plotted on
dispersion curves (Fig. 1) in Fig. 8. The theoretical and experimental results show
similar trends. According to the experimental results of Fig. 7 and Fig. 8, it is possible
to evaluate thickness reduction by the comparison between change of group velocity
and theoretical group velocity. However, the dispersion curves of the structure to be
tested should be determined prior to the field test because the Lamb wave velocity is
highly dependent on the geometry and material properties.
5. Conclusions
In this paper, the thickness reduction in thin plates and pipes using a non-contact guided
wave technique was evaluated. The EMATs were successfully utilized to generate and
receive Lamb waves in an aluminum plate, steel plates and steel pipes. The dispersive
behavior of S1, S0 and A1 modes are used for evaluation of thickness reduction. The
experimental results show that the mode cutoff of S1 and A1 modes provide a
qualitative measurement to detect the presence of thinning defect and it is also possible
to evaluate the thickness reduction quantitatively by measuring the change in the group
velocity of S0 and A1 modes.
References and footnotes
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1983
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KSNT Vol 24, No 2, pp 142-150, 2004
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Journal of Key Engineering Materials, Vol 321-323, pp 492-496, 2006
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11. J L Rose, ‘Ultrasonic Waves in Solid Media’, Cambridge University Press, 1999
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IV Conferencia Panamericana de END Buenos Aires – Octubre 2007 8
12. J L Rose and L E Soley, ‘Ultrasonic Guided Waves for Anomaly Detection in Aircraft Components’, Materials Evaluation, Vol 58, No 9, pp 1080-1086, 2000
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