Widespread damage in aging aircraft is becoming an increasing concern as both civil and military fleet operators are extending the service lifetime of their aircraft. Metallic components undergoing variable cyclic loadings eventually fatigue and form dislocations as precursors to ultimate failure. In order to characterize the progression of fatigue damage precursors (DP), the acoustic nonlinearity parameter is measured as the primary indicator. However, using proven standard ultrasonic technology for nonlinear measurements presents limitations for settings outside of the laboratory environment. This paper presents an approach for ultrasonic inspection through automated immersion scanning of hot section engine components where mature ultrasonic technology is used during periodic inspections. Nonlinear ultrasonic measurements were analyzed using wavelet analysis to extract multiple harmonics from the received signals. Measurements indicated strong correlations of nonlinearity coefficients and levels of fatigue in aluminum and Ni-based superalloys. This novel wavelet cross-correlation (WCC) algorithm is a potential technique to scan for fatigue damage precursors and identify critical locations for remaining life prediction.

Topics
Acoustic nonlinearity parameters, Ultrasonics, Aircraft, Jet engine, Chemical elements, Alloys, Educational assessment
1.
T.
 
Grobstein
,
S.
 
Sivashankaran
,
G.
 
Welsh
,
N.
 
Panigrahi
,
J.
 
McGervey
 and
J.
 
Blue
, “
Fatigue damage accumulation in nickel prior to crack initiation
,”
Mat. Sci. Engr.
,
A138
,
191
–
203
, (
1991
).
https://doi.org/10.1016/0921-5093(91)90688-J
Google Scholar
Crossref
Search ADS
 
2.
R.
 
Fay
, “
Oppositely Directed Plane Finite Waves
,”
J. Acoust. Soc. Am.
,
29
:
11
,
1200
–
1203
, (
1957
).
https://doi.org/10.1121/1.1908743
Google Scholar
Crossref
Search ADS
 
3.
M.
 
Breazeale
 and
W.
 
Lester
, “
Demonstration of the “Least Stable Waveform” of Finite Amplitude Waves
,”
J. Acoust. Soc. of Am.
,
33
:
12
,
1803
, (
1961
).
https://doi.org/10.1121/1.1908592
Google Scholar
Crossref
Search ADS
 
4.
D.
 
Thompson
,
M.
 
Tennison
 and
O.
 
Buck
, “
Reflections of Harmnonic Generation by Finite-Amplitude Waves
,”
J Acoust Soc Am
,
44
:
10
,
435
–
6
, (
1968
).
https://doi.org/10.1121/1.1911099
Google Scholar
Crossref
Search ADS
 
5.
M.
 
Nikoonahad
 and
D.
 
Liu
, “
Pulse-echo Single Frequency Acoustic Nonlinearity Parameter (B/A) Measurement
,”
IEEE Trans. Ultras. Ferroelec. & Freq. Control
,
37
:
2
,
127
, (
1990
).
https://doi.org/10.1109/58.55301
Google Scholar
Crossref
Search ADS
 
6.
F.
 
Meulen
 and
L.
 
Haumesser
, “
Evaluation of B/A nonlinear parameter using an acoustic self-calibrated pulse-echo method
,”
Appl. Phys. Lett.
,
92
, (
2008
).
https://doi.org/10.1063/1.2937838
Google Scholar
 
7.
S.
 
Saito
,
J.
 
Kim
 and
K.
 
Nakamura
, “
Automatic measruement of the nonlinearity parameter B/A in liquid media
,”
Ultrasonics
,
44
,
1429
–
1433
, (
2006
).
https://doi.org/10.1016/j.ultras.2006.05.136
Google Scholar
Crossref
Search ADS
 
8.
A.
 
Voronovich
, “
On the conservation of momentum for a sound pulse reflecting from a pressure-release boundary
,”
J Acoust Soc Am
,
123
:
5
,
2480
–
3
, (
2008
).
https://doi.org/10.1121/1.2890744
Google Scholar
Crossref
Search ADS
PubMed
 
9.
D.
 
Kourtiche
,
L.
 
Allies
,
A.
 
Chitnalah
 and
M.
 
Nadi
, “
Harmonic propagation of finite amplitude sound beams: comparative method in pulse echo measurement of nonlinear B/A parameter
,”
Meas Sci Technol
,
12
,
1990
–
5
, (
2001
).
https://doi.org/10.1088/0957-0233/12/11/331
Google Scholar
Crossref
Search ADS
 
10.
S.
 
Best
,
A.
 
Croxford
 and
S.
 
Neild
, “
Pulse-Echo Harmonic Generation Measurements for Non-destructive Evaluation
,”
J. Nondestructive Eval
,
33
, pp.
205
–
215
, (
2014
).
https://doi.org/10.1007/s10921-013-0213-9
Google Scholar
Crossref
Search ADS
 
11.
Y.
 
Ohara
,
K.
 
Kawashima
,
R.
 
Yamada
 and
H.
 
Horio
, “
Evaluation of amorphous diffusion bonding by nonlinear ultrasonic method
,”
Review of Progress QNDE (Vol. 23
),
AIP Conf. Proc.
,
944
–
951
, (
2004
).
https://doi.org/10.1063/1.1711720
Google Scholar
Crossref
Search ADS
 
12.
J.
 
Frouin
,
T.
 
Matikas
,
J.
 
Na
 and
S.
 
Sathish
, “
In-Situ Monitoring of Acoustic Linear and Nonlinear Behavior of Titanium Alloys during Cycling Loading
,”
Proc. of SPIE Conf. on NDE of Aging Materials
,
Newport Beach, California
,
3585
(
1999
).
Google Scholar
Crossref
Search ADS
 
13.
C.
 
Pruell
,
J.
 
Kim
,
J.
 
Qu
 and
L.
 
Jacobs
, “
Evaluation of fatigue damage using nonlinear guided waves
,”
Smart Mater Struct
,
18
(
3
)
035003
(
2009
).
https://doi.org/10.1088/0964-1726/18/3/035003
Google Scholar
Crossref
Search ADS
 
14.
A.
 
Viswanath
,
B.
 
Rao
,
S.
 
Mahadevan
,
P.
 
Parameswaran
,
T.
 
Jayajumar
 and
B.
 
Raj
, “
Nondestructive assessment of tensile properties of cold worked AISI type 304 stainless steel using nonlinear ultrasonic technique
,”
J Mat Proc Tech
,
211
,
538
–
544
, (
2011
).
https://doi.org/10.1016/j.jmatprotec.2010.11.011
Google Scholar
Crossref
Search ADS
 
15.
J.
 
Kim
,
L.
 
Jacobs
,
J.
 
Qu
 and
J.
 
Littles
, “
Experimental characterization of fatigue damage in nickel-base superalloy using nonlinear ultrasonic waves
,”
J. Acoust. Soc. Am.
,
120
,
1266
, (
2006
).
https://doi.org/10.1121/1.2221557
Google Scholar
Crossref
Search ADS
 
16.
K.
 
Kawashima
,
R.
 
Imanishi
,
F.
 
Fujita
 and
T.
 
Aida
, “Imaging of Partial Plastic Deformation in Thin Metal Plates by Immersion Nonlinear Ulrasonic Local resonance,”
AIP Conf. Proc. Nonlinear Acoustics
,
Tokio, Japan
, pp.
207
–
210
(
2012
).
https://doi.org/10.1063/1.4749332
Google Scholar
Crossref
Search ADS
 
17.
K.
 
Kawashima
,
T.
 
Aida
 and
H.
 
Yasui
, “
Higher-harmonic imaging of the plastic zone in front of a fatigue crack tip
,”
Jap J Appl Phys
,
53
, (
2014
).
https://doi.org/10.7567/JJAP.53.07KC04
Google Scholar
 
18.
A.
 
Yee
,
D.
 
Stewart
,
G.
 
Bunget
,
P.
 
Kramer
,
K.
 
Farinholt
,
F.
 
Friedersdorf
,
M.
 
Pepi
 and
A.
 
Ghoshal
, “
Nonlinear ultrasonics measurements based on cross-correlation filtering techniques
,”
Review of Progress in QNDE (Vol. 36
),
AIP Conference Proceedings
 
1806
,
060004
,
Atlanta, Georgia
, (
2017
).
https://doi.org/10.1063/1.4974613
Google Scholar
Crossref
Search ADS
 
19.
A.
 
Hikata
,
B.
 
Chick
 and
C.
 
Elbaum
, “
Dislocation Contribution to the Second Harmonic Generation of Ultrasonic Waves
,”
J. Appl. Phys.
,
36
,
229
, (
1965
).
https://doi.org/10.1063/1.1713881
Google Scholar
Crossref
Search ADS
 
20.
J.
 
Cantrell
, “
Generalized Gruneisen tensor from solid nonlinearity parameters
,”
Phys Rev B
,
21
:
10
,
4191
–
5
, (
1980
).
https://doi.org/10.1103/PhysRevB.21.4191
Google Scholar
Crossref
Search ADS
 
21.
D.
 
Joharapurkar
 and
M.
 
Breazeale
, “
Nonlinear parameter, nonlinearity constant, and frequency dependence of ultrasonic attenuation in GaAs
,”
J Appl Phys
,
67
:
1
,
76
–
80
, (
1990
).
https://doi.org/10.1063/1.345208
Google Scholar
Crossref
Search ADS
 
22.
D.
 
Joharapurkar
,
D.
 
Gerlich
 and
M.
 
Breazeale
, “
Temperature dependence of elastic nonlinearities in single-crystal gallium arsenide
,”
J Appl Phys
,
72
:
6
,
2002
–
8
, (
1992
).
https://doi.org/10.1063/1.351612
Google Scholar
Crossref
Search ADS
 
23.
H.
 
Mohrbacher
,
D.
 
Lee
,
E.
 
Schneider
 and
K.
 
Salama
, “Acoustic nonlinearity in metal-matrix composites,”
Review of Prog. in QNDE
,
10B
, pp.
1821
–
1828
, (eds)
D.O.
 
Thompson
 and
D.E.
 
Chimenti
,
Plenum Press
,
New York
(
1991
).
Google Scholar
 
24.
A.
 
Hikata
 and
C.
 
Elbaum
, “
Generation of Ultrasonic Second and Third Harmonics Due to Dislocations. I
,”
Phys Rev
,
144
:
2
,
469
–
77
, (
1966
).
https://doi.org/10.1103/PhysRev.144.469
Google Scholar
Crossref
Search ADS
 
25.
A.
 
Hikata
,
F.
 
Sewell
 and
C.
 
Elbaum
, “
Generation of Ultrasonic Second and Third Harmonics due to Dislocations. II
,”
Physical Rev
,
151
:
2
,
442
–
9
, (
1966
).
https://doi.org/10.1103/PhysRev.151.442
Google Scholar
Crossref
Search ADS
 
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2018
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