Abstract

A nondestructive evaluation (NDE) technique based on highly nonlinear solitary waves (HNSWs) has been developed recently by a few groups worldwide. The technique is based on the propagation and detection of these waves along a one-dimensional monoperiodic array of spherical particles in which one end of the array is in contact with the material/structure to be inspected, and the particle at the opposite end induces the waves by means of a mechanical impact. Several studies have demonstrated that the dynamic interaction between the waves and the element to be evaluated is dependent on the geometric and mechanical properties of the structure, and such dependency can be monitored by sensing the waves reflected at the interface between the array and the structure. This NDE technique is typically performed by using the so-called HNSW transducer. The term transducer indicates a portable device that consists of a monoperiodic array of particles, a device to trigger the waves, and a sensing element to detect the waves. In the study presented in this article, the long-term performance of three transducers was investigated by placing them above a test object whose mechanical and geometric properties were left constant for a week while the transducers triggered and detected thousands of waves. Any variability of the waves was quantified by extracting simple features such as amplitude, time of flight, and cross-correlation. To investigate the cause of variabilities, 16 measurements were captured with short videos at ∼1000 fps. The results of the study demonstrate that the traveling time of the solitary waves is the most reliable parameter for long-term monitoring with the lowest variability and the least susceptibility to physical changes within the array. In addition, the findings of this study allow the framing of a valid strategy to improve the design of the transducers in order to make the HNSW-based technique suitable for long-term monitoring.

References

1.
Nesterenko
,
V. F.
,
1984
, “
Propagation of Nonlinear Compression Pulses in Granular Media
,”
J. Appl. Mech. Tech. Phys.
,
24
(
5
), pp.
136
148
.
2.
Sen
,
S.
,
Hong
,
J.
,
Bang
,
J.
,
Avalos
,
E.
, and
Doney
,
R.
,
2008
, “
Solitary Waves in the Granular Chain
,”
Phys. Rep.
,
462
(
2
), pp.
21
66
.
3.
Hertz
,
H.
,
1881
, “
On the Contact of Elastic Solids
,”
Z. Reine Angew. Math.
,
92
, pp.
156
171
.
4.
Johnson
,
K. L.
, and
Johnson
,
K. L.
,
1987
,
Contact Mechanics
,
Cambridge University Press
,
Cambridge, UK
.
5.
Daraio
,
C.
,
Nesterenko
,
V. F.
,
Herbold
,
E. B.
, and
Jin
,
S.
,
2006
, “
Tunability of Solitary Wave Properties in one-Dimensional Strongly Nonlinear Phononic Crystals
,”
Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys.
,
73
(
2 Pt 2
), p.
026610
.
6.
Yang
,
J.
,
Khatri
,
D.
,
Anzel
,
P.
, and
Daraio
,
C.
,
2012
, “
Interaction of Highly Nonlinear Solitary Waves With Thin Plates
,”
Int. J. Solids Struct.
,
49
(
13
), pp.
1463
1471
.
7.
Cai
,
L.
,
Rizzo
,
P.
, and
Al-Nazer
,
L.
,
2013
, “
On the Coupling Mechanism Between Nonlinear Solitary Waves and Slender Beams
,”
Int. J. Solids Struct.
,
50
(
25–26
), pp.
4173
4183
.
8.
Kim
,
E.
,
Restuccia
,
F.
,
Yang
,
J.
, and
Daraio
,
C.
,
2015
, “
Solitary Wave-Based Delamination Detection in Composite Plates Using a Combined Granular Crystal Sensor and Actuator
,”
Smart Mater. Struct.
,
24
(
12
), p.
125004
.
9.
Schiffer
,
A.
, and
Kim
,
T.-Y.
,
2019
, “
Modelling of the Interaction Between Nonlinear Solitary Waves and Composite Beams
,”
Int. J. Mech. Sci.
,
151
, pp.
181
191
.
10.
Ni
,
X.
, and
Rizzo
,
P.
,
2012
, “
Highly Nonlinear Solitary Waves for the Inspection of Adhesive Joints
,”
Exp. Mech.
,
52
(
9
), pp.
1493
1501
.
11.
Ni
,
X.
,
Rizzo
,
P.
,
Yang
,
J.
,
Katri
,
D.
, and
Daraio
,
C.
,
2012
, “
Monitoring the Hydration of Cement Using Highly Nonlinear Solitary Waves
,”
NDT&E Int.
,
52
, pp.
76
85
.
12.
Schiffer
,
A.
,
Alkhaja
,
A. I.
,
Yang
,
J.
,
Esfahani
,
E. N.
, and
Kim
,
T. Y.
,
2017
, “
Interaction of Highly Nonlinear Solitary Waves With Elastic Solids Containing a Spherical Void
,”
Int. J. Solids Struct.
,
118
, pp.
204
212
.
13.
Zheng
,
B.
,
Rizzo
,
P.
, and
Nasrollahi
,
A.
,
2020
, “
Outlier Analysis of Nonlinear Solitary Waves for Health Monitoring Applications
,”
Struct. Health. Monit.
,
19
(
4
), pp.
1160
1174
.
14.
Deng
,
W.
,
Nasrollahi
,
A.
,
Rizzo
,
P.
, and
Li
,
K.
,
2016
, “
On the Reliability of a Solitary Wave Based Transducer to Determine the Characteristics of Some Materials
,”
Sensors
,
16
(
1
), p.
5
.
15.
Nasrollahi
,
A.
,
Rizzo
,
P.
, and
Orak
,
M. S.
,
2018
, “
Numerical and Experimental Study on the Dynamic Interaction Between Highly Nonlinear Solitary Waves and Pressurized Balls
,”
ASME J. Appl. Mech.
,
85
(
3
), p.
031007
.
16.
Nasrollahi
,
A.
,
Lucht
,
R.
, and
Rizzo
,
P.
,
2019
, “
Solitary Waves to Assess the Internal Pressure and the Rubber Degradation of Tennis Balls
,”
Exp. Mech.
,
59
(
1
), pp.
65
77
.
17.
Nasrollahi
,
A.
, and
Rizzo
,
P.
,
2018
, “
Axial Stress Determination Using Highly Nonlinear Solitary Waves
,”
The J. Acoust. Soc. Am.
,
144
(
4
), pp.
2201
2212
.
18.
Nasrollahi
,
A.
, and
Rizzo
,
P.
,
2019
, “
Numerical Analysis and Experimental Validation of an Nondestructive Evaluation Method to Measure Stress in Rails
,”
ASME J. Nondestruct. Eval. Diagn. Progn. Eng. Syst.
,
2
(
3
), p.
031002
.
19.
Singhal
,
T.
,
Kim
,
E.
,
Kim
,
T. Y.
, and
Yang
,
J.
,
2017
, “
Weak Bond Detection in Composites Using Highly Nonlinear Solitary Waves
,”
Smart Mater. Struct.
,
26
(
5
), p.
055011
.
20.
Schiffer
,
A.
,
Alia
,
R. A.
,
Cantwell
,
W. J.
,
Lee
,
D.
,
Kim
,
E.
, and
Kim
,
T. Y.
,
2020
, “
Elastic Interaction Between Nonlinear Solitary Waves in Granular Chains and Composite Beams: Experiments and Modelling
,”
Int. J. Mech. Sci.
,
170
, p.
105350
.
21.
Jalali
,
H.
,
Zeng
,
Y.
,
Rizzo
,
P.
, and
Bunger
,
A.
,
2021
, “
Highly Nonlinear Solitary Waves to Estimate Orientation and Degree of Anisotropy in Rocks
,”
Mater. Eval.
,
79
(
10
).
22.
Jalali
,
H.
, and
Rizzo
,
P.
,
2020
, “
Highly Nonlinear Solitary Waves for the Detection of Localized Corrosion
,”
Smart Mater. Struct.
,
29
(
8
), p.
085051
.
23.
Jalali
,
H.
, and
Rizzo
,
P.
,
2021
, “
Numerical Investigation of the Interaction of Highly Nonlinear Solitary Waves With Corroded Steel Plates
,”
Int. J. Mech. Sci.
,
208
, p.
106676
.
24.
Misra
,
R.
,
Jalali
,
H.
,
Dickerson
,
S. J.
, and
Rizzo
,
P.
,
2020
, “
Wireless Module for Nondestructive Testing/Structural Health Monitoring Applications Based on Solitary Waves
,”
Sensors
,
20
(
11
), p.
3016
.
25.
Wiener
,
N.
,
1964
,
Extrapolation, Interpolation, and Smoothing of Stationary Time Series: With Engineering Applications
, Vol. 8,
MIT Press
,
Cambridge, MA
.
26.
Canny
,
J.
,
1986
, “
A Computational Approach to Edge Detection
,”
IEEE Trans. Pattern Anal. Mach. Intell.
,
PAMI-8
(
6
), pp.
679
698
.
27.
Lee Rodgers
,
J.
, and
Nicewander
,
W. A.
,
1988
, “
Thirteen Ways to Look at the Correlation Coefficient
,”
Am. Stat.
,
42
(
1
), pp.
59
66
.
28.
Feng
,
Y.
,
Kang
,
W.
,
Ma
,
D.
, and
Liu
,
C.
,
2019
, “
Multiple Impacts and Multiple-Compression Process in the Dynamics of Granular Chains
,”
ASME J. Comput. Nonlinear Dyn.
,
14
(
12
), p.
121002
.
29.
Burgoyne
,
H. A.
, and
Daraio
,
C.
,
2014
, “
Strain-Rate-Dependent Model for the Dynamic Compression of Elastoplastic Spheres
,”
Phys. Rev. E
,
89
(
3
), p.
032203
.
30.
Ma
,
D.
, and
Liu
,
C.
, “
Contact Law and Coefficient of Restitution in Elastoplastic Spheres
,”
ASME J. Appl. Mech.
,
82
(
12
), p.
121006
.
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