Ultrasonic inspection is a widely used nondestructive testing approach in industrial fields for more accurate life prediction and efficient management strategies of critical structural components. However, it is quite challenging to detect a kind of micro-defect, whose size is much smaller than the ultrasonic wavelength but larger than the ultrasonic amplitude (namely, there is no appearance of non-classical acoustic nonlinearity). In this article, identification and imaging of a micro-defect of this size range with an improved resolution is conducted by the combination of the second-harmonic generation (SHG) of ultrasonic Lamb waves and the reconstruction algorithm for the probability inspection of damage. An intuitive model is first developed to explore the physical mechanism of a micro-defect-induced variation of generated second harmonic of a primary Lamb wave in a plate. Variations of amplitudes of second harmonics generated in propagation paths are used to construct the micro-defect image. A phase-reversal technique is employed to enhance the signal-to-noise ratio of the SHG. Comparisons between images constructed by linear and nonlinear acoustic features of Lamb wave propagation are presented. Results show that the image of the micro-defect with an improved resolution is successfully obtained by the proposed approach, while there is no visualized result obtained by the conventional linear ultrasonic one.

1.
J. L.
Rose
,
J. Pressure Vessel Technol.
124
,
273
(
2002
).
2.
D. N.
Alleyne
and
P.
Cawley
,
IEEE Trans. Ultrason. Ferroelect. Freq. Control.
39
,
381
(
1992
).
3.
W.
Li
,
Y.
Cho
, and
J. D.
Achenbach
,
Smart Mater. Struct.
21
,
085019
(
2012
).
4.
T.
Kundu
,
Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation
(
Springer International Publishing
,
2019
).
5.
S. V.
Walker
,
J. Y.
Kim
,
J.
Qu
, and
L. J.
Jacobs
,
NDT&E Int.
48
,
10
(
2012
).
6.
C.
Zhou
,
M.
Hong
,
Z.
Su
,
Q.
Wang
, and
L.
Cheng
,
Smart Mater. Struct.
22
,
015018
(
2013
).
7.
N.
Rauter
and
R.
Lammering
,
Mech. Adv. Mater. Struct.
22
,
44
(
2015
).
8.
Y.
Xiang
,
M.
Deng
, and
F.
Xuan
,
J. Appl. Phys.
115
,
044914
(
2014
).
9.
V. K.
Chillara
and
C. J.
Lissenden
,
Opt. Eng.
55
,
011002
(
2016
).
10.
C. J.
Lissenden
,
Y.
Liu
, and
J. L.
Rose
,
Insight
57
,
206
(
2015
).
11.
H.
Sohn
,
H. J.
Lim
,
M. P.
DeSimio
,
K.
Brown
, and
M.
Derriso
,
J. Sound Vib.
333
,
1473
(
2014
).
12.
K.-Y.
Jhang
,
Int. J. Precis. Eng. Manuf.
10
,
123
(
2009
).
13.
K. E.-A.
Van Den Abeele
,
P.
Johnson
, and
A.
Sutin
,
Res. Nondestruct. Eval.
12
,
17
(
2000
).
14.
I. Y.
Solodov
,
Ultrasonics
36
,
383
390
(
1998
).
15.
T.
Hay
,
R.
Royer
,
H.
Gao
,
X.
Zhao
, and
J.
Rose
,
Smart Mater. Struct.
15
,
946
(
2006
).
16.
X.
Zhao
,
R. L.
Royer
,
S. E.
Owens
, and
J. L.
Rose
,
Smart Mater. Struct.
20
,
105002
(
2011
).
17.
X.
Zhao
,
H.
Gao
,
G.
Zhang
,
B.
Ayhan
,
F.
Yan
,
C.
Kwan
, and
J. L.
Rose
,
Smart Mater. Struct.
16
,
1208
(
2007
).
18.
J. K. V.
Velsor
,
H.
Gao
, and
J. L.
Rose
,
Insight
49
,
532
(
2007
).
19.
B.
Sheen
and
Y.
Cho
,
Int. J. Precis. Eng. Manuf.
13
,
671
(
2012
).
20.
21.
A.
Viswanath
,
B. P. C.
Rao
,
S.
Mahadevan
,
T.
Jayakumar
, and
B.
Raj
,
J. Mater. Sci.
45
,
6719
(
2010
).
22.
M.
Fukuda
and
K.
Imano
,
Jpn. J. Appl. Phys.
51
,
07GB06
(
2012
).
23.
Y.
Xiang
,
M.
Deng
,
C.
Liu
, and
F.
Xuan
,
J. Appl. Phys.
117
,
214903
(
2015
).
24.
S.
Shan
,
L.
Cheng
, and
P.
Li
,
Smart Mater. Struct.
26
,
025019
(
2017
).
25.
Q.
Ma
,
Y.
Ma
,
X.
Gong
, and
D.
Zhang
,
Ultrasound Med. Biol.
31
,
889
(
2005
).
26.
W.
Li
,
S.
Hu
, and
M.
Deng
,
Materials
11
,
1961
(
2018
).
27.
M.
Deng
,
Y.
Xiang
, and
L.
Liu
,
J. Appl. Phys.
109
,
113525
(
2011
).
28.
W.
Li
,
B.
Chen
, and
Y.
Cho
,
Appl. Acoust.
160
,
107124
(
2020
).
29.
M.
Deng
,
J. Appl. Phys.
94
,
4152
(
2003
).
30.
W. J. N.
de Lima
and
M. F.
Hamilton
,
J. Sound Vib.
265
,
819
(
2003
).
31.
M.
Deng
,
Nonlinear Lamb Waves in Solid Plate
(
Science Press
,
Beijing
,
2006
), pp.
74
76
.
32.
M.
Deng
,
P.
Wang
, and
X.
Lv
,
J. Phys. D: Appl. Phys.
38
,
344
(
2005
).
33.
M.
Sun
,
Y.
Xiang
,
M.
Deng
,
B.
Tang
,
W.
Zhu
, and
F.
Xuan
,
Appl. Phys. Lett.
114
,
011902
(
2019
).
34.
T. M.
Ye
,
S.
Biwa
, and
N.
Mori
,
J. Acoust. Soc. Am.
148
,
2073
(
2020
).
35.
S.
Shan
and
L.
Cheng
,
Ultrasonics
119
,
106554
(
2022
).
36.
A.
Aseem
and
C. T.
Ng
,
NDT&E Int.
122
,
102496
(
2021
).
37.
M.
Li
,
M.
Deng
,
G.
Gao
, and
Y.
Xiang
,
J. Sound Vib.
421
,
234
(
2018
).
38.
W.
Li
,
Y.
Xu
,
N.
Hu
, and
M.
Deng
,
AIP Adv.
10
,
045119
(
2020
).
39.
X.
Wan
,
P.
Tse
,
X.
Zhang
,
G.
Xu
,
Q.
Zhang
,
H.
Fan
,
Q.
Mao
,
M.
Dong
,
C.
Wang
, and
H.
Mao
,
Smart Mater. Struct.
27
,
045006
(
2018
).
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