An integrated analytical and experimental study of contact acoustic nonlinearity at rough interfaces of fatigue cracks
Abstract
This paper presents an analytical model that describes the relationship between interface stiffness and separation of rough interfaces such as fatigue cracks. The contact acoustic nonlinearity at the interface is simulated by a quasi-static model based on Hertzian contact theory. The model is validated using the results of dynamic acoustoelastic testing (DAET) with a Rayleigh wave probe on fatigue cracks in two aluminum alloy samples. One novel aspect of this work is that all the required geometrical parameters for the model are acquired directly from the aperture profile of real cracks extracted from their scanning electron microscopy (SEM) images. Also, the separation of the crack faces during dynamic perturbation is independently measured using a 3D laser Doppler vibrometer (LDV). In addition, using DAET allows for an unprecedented direct comparison between experimental and analytical results. Overall, this is because unlike conventional nonlinear ultrasonic tests that are based on measuring the amplitude of higher harmonics, DAET outputs directly the strain-dependency of transmission and time delay of ultrasonic waves propagating across the interface. The model is found in good qualitative agreement with the experimental results, although the predictions tend to underestimate the variation of transmission coefficient and time delay. We conduct a sensitivitymore »
- Authors:
-
[2];
- Pennsylvania State Univ., University Park, PA (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1822733
- Alternate Identifier(s):
- OSTI ID: 1580202
- Report Number(s):
- LA-UR-19-31059
Journal ID: ISSN 0022-5096
- Grant/Contract Number:
- 89233218CNA000001; SC0017585
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of the Mechanics and Physics of Solids
- Additional Journal Information:
- Journal Volume: 135; Journal ID: ISSN 0022-5096
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Contact acoustic nonlinearity; Contact mechanics; Interfacial stiffness; Transmission coefficient; Dynamic acousto-elastic testing; Fatigue cracks
Citation Formats
Jin, Jiang, Johnson, Paul, and Shokouhi, Parisa. An integrated analytical and experimental study of contact acoustic nonlinearity at rough interfaces of fatigue cracks. United States: N. p., 2019.
Web. doi:10.1016/j.jmps.2019.103769.
Jin, Jiang, Johnson, Paul, & Shokouhi, Parisa. An integrated analytical and experimental study of contact acoustic nonlinearity at rough interfaces of fatigue cracks. United States. https://doi.org/10.1016/j.jmps.2019.103769
Jin, Jiang, Johnson, Paul, and Shokouhi, Parisa. Mon .
"An integrated analytical and experimental study of contact acoustic nonlinearity at rough interfaces of fatigue cracks". United States. https://doi.org/10.1016/j.jmps.2019.103769. https://www.osti.gov/servlets/purl/1822733.
@article{osti_1822733,
title = {An integrated analytical and experimental study of contact acoustic nonlinearity at rough interfaces of fatigue cracks},
author = {Jin, Jiang and Johnson, Paul and Shokouhi, Parisa},
abstractNote = {This paper presents an analytical model that describes the relationship between interface stiffness and separation of rough interfaces such as fatigue cracks. The contact acoustic nonlinearity at the interface is simulated by a quasi-static model based on Hertzian contact theory. The model is validated using the results of dynamic acoustoelastic testing (DAET) with a Rayleigh wave probe on fatigue cracks in two aluminum alloy samples. One novel aspect of this work is that all the required geometrical parameters for the model are acquired directly from the aperture profile of real cracks extracted from their scanning electron microscopy (SEM) images. Also, the separation of the crack faces during dynamic perturbation is independently measured using a 3D laser Doppler vibrometer (LDV). In addition, using DAET allows for an unprecedented direct comparison between experimental and analytical results. Overall, this is because unlike conventional nonlinear ultrasonic tests that are based on measuring the amplitude of higher harmonics, DAET outputs directly the strain-dependency of transmission and time delay of ultrasonic waves propagating across the interface. The model is found in good qualitative agreement with the experimental results, although the predictions tend to underestimate the variation of transmission coefficient and time delay. We conduct a sensitivity analysis to investigate the influence of different assumptions and simplifications on model predictions.},
doi = {10.1016/j.jmps.2019.103769},
journal = {Journal of the Mechanics and Physics of Solids},
number = ,
volume = 135,
place = {United States},
year = {Mon Oct 21 00:00:00 EDT 2019},
month = {Mon Oct 21 00:00:00 EDT 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 10 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Contact acoustic nonlinearity (CAN)-based continuous monitoring of bolt loosening: Hybrid use of high-order harmonics and spectral sidebands
journal, March 2018
- Zhang, Zhen; Liu, Menglong; Liao, Yaozhong
- Mechanical Systems and Signal Processing, Vol. 103
Modelling of nonlinear crack–wave interactions for damage detection based on ultrasound—A review
journal, February 2014
- Broda, D.; Staszewski, W. J.; Martowicz, A.
- Journal of Sound and Vibration, Vol. 333, Issue 4
An Elastic-Plastic Model for the Contact of Rough Surfaces
journal, April 1987
- Chang, W. R.; Etsion, I.; Bogy, D. B.
- Journal of Tribology, Vol. 109, Issue 2
Nonlinear interaction of plane ultrasonic waves with an interface between rough surfaces in contact
journal, January 2003
- Pecorari, Claudio
- The Journal of the Acoustical Society of America, Vol. 113, Issue 6
Postseismic Relaxation Along the San Andreas Fault at Parkfield from Continuous Seismological Observations
journal, September 2008
- Brenguier, F.; Campillo, M.; Hadziioannou, C.
- Science, Vol. 321, Issue 5895
Experimental and theoretical study of harmonic generation at contacting interface
journal, December 2006
- Biwa, S.; Hiraiwa, S.; Matsumoto, E.
- Ultrasonics, Vol. 44
Acoustic harmonic generation at unbonded interfaces and fatigue cracks
journal, September 1978
- Buck, O.; Morris, W. L.; Richardson, J. M.
- Applied Physics Letters, Vol. 33, Issue 5
Study of interfacial stiffness ratio of a rough surface in contact using a spring model
journal, February 2010
- Gonzalez-Valadez, M.; Baltazar, A.; Dwyer-Joyce, R. S.
- Wear, Vol. 268, Issue 3-4
Pressure-Dependent Stiffnesses and Nonlinear Ultrasonic Response of Contacting Surfaces
journal, January 2009
- Biwa, Shiro; Hiraiwa, Shunsuke; Matsumoto, Eiji
- Journal of Solid Mechanics and Materials Engineering, Vol. 3, Issue 1
Assessment of tangential and normal stiffness of contact between rough surfaces using ultrasonic method
journal, February 1993
- Królikowski, J.; Szczepek, J.
- Wear, Vol. 160, Issue 2
Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat
journal, August 2002
- Kogut, L.; Etsion, I.
- Journal of Applied Mechanics, Vol. 69, Issue 5
Non Destructive Characterization of Cortical Bone Micro-Damage by Nonlinear Resonant Ultrasound Spectroscopy
journal, January 2014
- Haupert, Sylvain; Guérard, Sandra; Peyrin, Françoise
- PLoS ONE, Vol. 9, Issue 1
Dynamic acousto-elastic response of single fatigue cracks with different microstructural features: An experimental investigation
journal, August 2018
- Jin, Jiang; Rivière, Jacques; Ohara, Yoshikazu
- Journal of Applied Physics, Vol. 124, Issue 7
Hysteretic linear and nonlinear acoustic responses from pressed interfaces
journal, October 2006
- Kim, Jin-Yeon; Baltazar, Arturo; Hu, Jong Wan
- International Journal of Solids and Structures, Vol. 43, Issue 21
The ultrasonic pulse-echo technique as applied to adhesion testing
journal, May 1973
- Tattersall, H. G.
- Journal of Physics D: Applied Physics, Vol. 6, Issue 7
Single-Phase (Brine) and Two-Phase (DNAPL–Brine) Flows in Induced Fractures
journal, March 2011
- Weerakone, W. M. S. B.; Wong, R. C. K.; Mehrotra, A. K.
- Transport in Porous Media, Vol. 89, Issue 1
Microcrack-based coupled damage and flow modeling of fracturing evolution in permeable brittle rocks
journal, April 2013
- Lu, Y. L.; Elsworth, D.; Wang, L. G.
- Computers and Geotechnics, Vol. 49
Influence of fracture anisotropy and lithological heterogeneity on wellfield response in a fluvial sandstone aquifer of the Carboniferous Moncton Subbasin, Canada
journal, November 2012
- DesRoches, Aaron J.; Butler, Karl E.; Pelkey, Shaun
- Hydrogeology Journal, Vol. 21, Issue 3
Experimental investigation of nonlinear acoustic effect at crack
journal, December 2009
- Lee, Tae Hun; Jhang, Kyung Young
- NDT & E International, Vol. 42, Issue 8
Measurement of the ultrasonic nonlinearity of kissing bonds in adhesive joints
journal, July 2009
- Yan, Dawei; Drinkwater, Bruce W.; Neild, Simon A.
- NDT & E International, Vol. 42, Issue 5
On the relationship between ultrasonic and micromechanical properties of contacting rough surfaces
journal, July 2002
- Baltazar, A.
- Journal of the Mechanics and Physics of Solids, Vol. 50, Issue 7
Numerical simulation of Rayleigh wave interaction with surface closed cracks under external pressure
journal, September 2015
- Yuan, Maodan; Zhang, Jianhai; Song, Sung-Jin
- Wave Motion, Vol. 57
Ultrasonics of non-linear contacts: propagation, reflection and NDE-applications
journal, February 1998
- Solodov, Igor Yu.
- Ultrasonics, Vol. 36, Issue 1-5
Nonlinear acoustic interaction on contact interfaces and its use for nondestructive testing
journal, June 2001
- Donskoy, D.; Sutin, A.; Ekimov, A.
- NDT & E International, Vol. 34, Issue 4
Quantification of nonlinear elasticity for the evaluation of submillimeter crack length in cortical bone
journal, August 2015
- Haupert, Sylvain; Guérard, Sandra; Mitton, David
- Journal of the Mechanical Behavior of Biomedical Materials, Vol. 48
Ultrasonic assessment of rough surface contact between solids from elastoplastic loading–unloading hysteresis cycle
journal, August 2004
- Kim, J. -Y; Baltazar, A.; Rokhlin, S. I.
- Journal of the Mechanics and Physics of Solids, Vol. 52, Issue 8
Two dimensional modeling of elastic wave propagation in solids containing cracks with rough surfaces and friction – Part I: Theoretical background
journal, January 2018
- Aleshin, Vladislav; Delrue, Steven; Trifonov, Andrey
- Ultrasonics, Vol. 82
On the Acoustic Nonlinearity of Solid-Solid Contact With Pressure-Dependent Interface Stiffness
journal, July 2004
- Biwa, S.; Nakajima, S.; Ohno, N.
- Journal of Applied Mechanics, Vol. 71, Issue 4
Prediction of contact parameters using ultrasonic method
journal, August 1991
- Królikowski, J.; Szczepek, J.
- Wear, Vol. 148, Issue 1
Remote dynamic acoustoelastic testing: Elastic and dissipative acoustic nonlinearities measured under hydrostatic tension and compression
journal, January 2009
- Renaud, Guillaume; Callé, Samuel; Defontaine, Marielle
- Applied Physics Letters, Vol. 94, Issue 1
Measurement of Capillary Pressure Curve of DNAPL in a Water-Saturated Sandstone Fracture
journal, May 2012
- Weerakone, W. M. S. B.; Wong, R. C. K.; Mehrotra, A. K.
- Journal of Geotechnical and Geoenvironmental Engineering, Vol. 138, Issue 5
2D finite element modeling of the non-collinear mixing method for detection and characterization of closed cracks
journal, December 2015
- Blanloeuil, P.; Meziane, A.; Bacon, C.
- NDT & E International, Vol. 76
Two dimensional modeling of elastic wave propagation in solids containing cracks with rough surfaces and friction – Part II: Numerical implementation
journal, January 2018
- Delrue, Steven; Aleshin, Vladislav; Truyaert, Kevin
- Ultrasonics, Vol. 82
Fluid flow through rough fractures in rocks. II: A new matching model for rough rock fractures
journal, January 2006
- Ogilvie, Steven R.; Isakov, Evgeny; Glover, Paul W. J.
- Earth and Planetary Science Letters, Vol. 241, Issue 3-4
CAN: an example of nonclassical acoustic nonlinearity in solids
journal, May 2002
- Solodov, I. Yu.; Krohn, N.; Busse, G.
- Ultrasonics, Vol. 40, Issue 1-8
Relationship between normal and tangential contact stiffness of nominally flat surfaces
journal, November 1991
- Sherif, Hany. A.; Kossa, S. S.
- Wear, Vol. 151, Issue 1
Stiffness evaluation of contacting surfaces by bulk and interface waves
journal, December 2007
- Biwa, Shiro; Hiraiwa, Shunsuke; Matsumoto, Eiji
- Ultrasonics, Vol. 47, Issue 1-4
Closure of random elastic surfaces in contact
journal, June 1985
- Brown, Stephen R.; Scholz, Christopher H.
- Journal of Geophysical Research: Solid Earth, Vol. 90, Issue B7