An integrated analytical and experimental study of contact acoustic nonlinearity at rough interfaces of fatigue cracks

Jin, Jiang; Johnson, Paul; Shokouhi, Parisa

doi:10.1016/j.jmps.2019.103769

Title: An integrated analytical and experimental study of contact acoustic nonlinearity at rough interfaces of fatigue cracks

Journal Article · Mon Oct 21 00:00:00 EDT 2019 · Journal of the Mechanics and Physics of Solids

DOI:https://doi.org/10.1016/j.jmps.2019.103769· OSTI ID:1822733

Jin, Jiang ^[1];

^[2]; Shokouhi, Parisa ^[1]

Pennsylvania State Univ., University Park, PA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: 89233218CNA000001; SC0017585

OSTI ID:: 1822733

Alternate ID(s):: OSTI ID: 1580202

Report Number(s):: LA-UR-19-31059

Journal Information:: Journal of the Mechanics and Physics of Solids, Vol. 135; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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References (38)

Contact acoustic nonlinearity (CAN)-based continuous monitoring of bolt loosening: Hybrid use of high-order harmonics and spectral sidebands Zhang, Zhen; Liu, Menglong; Liao, Yaozhong Mechanical Systems and Signal Processing, Vol. 103 https://doi.org/10.1016/j.ymssp.2017.10.009	journal	March 2018
Modelling of nonlinear crack–wave interactions for damage detection based on ultrasound—A review Broda, D.; Staszewski, W. J.; Martowicz, A. Journal of Sound and Vibration, Vol. 333, Issue 4 https://doi.org/10.1016/j.jsv.2013.09.033	journal	February 2014
An Elastic-Plastic Model for the Contact of Rough Surfaces Chang, W. R.; Etsion, I.; Bogy, D. B. Journal of Tribology, Vol. 109, Issue 2 https://doi.org/10.1115/1.3261348	journal	April 1987
Nonlinear interaction of plane ultrasonic waves with an interface between rough surfaces in contact Pecorari, Claudio The Journal of the Acoustical Society of America, Vol. 113, Issue 6 https://doi.org/10.1121/1.1570437	journal	January 2003
Postseismic Relaxation Along the San Andreas Fault at Parkfield from Continuous Seismological Observations Brenguier, F.; Campillo, M.; Hadziioannou, C. Science, Vol. 321, Issue 5895 https://doi.org/10.1126/science.1160943	journal	September 2008
Experimental and theoretical study of harmonic generation at contacting interface Biwa, S.; Hiraiwa, S.; Matsumoto, E. Ultrasonics, Vol. 44 https://doi.org/10.1016/j.ultras.2006.05.010	journal	December 2006
Acoustic harmonic generation at unbonded interfaces and fatigue cracks Buck, O.; Morris, W. L.; Richardson, J. M. Applied Physics Letters, Vol. 33, Issue 5 https://doi.org/10.1063/1.90399	journal	September 1978
Study of interfacial stiffness ratio of a rough surface in contact using a spring model Gonzalez-Valadez, M.; Baltazar, A.; Dwyer-Joyce, R. S. Wear, Vol. 268, Issue 3-4 https://doi.org/10.1016/j.wear.2009.08.022	journal	February 2010
Pressure-Dependent Stiffnesses and Nonlinear Ultrasonic Response of Contacting Surfaces Biwa, Shiro; Hiraiwa, Shunsuke; Matsumoto, Eiji Journal of Solid Mechanics and Materials Engineering, Vol. 3, Issue 1 https://doi.org/10.1299/jmmp.3.10	journal	January 2009
Assessment of tangential and normal stiffness of contact between rough surfaces using ultrasonic method Królikowski, J.; Szczepek, J. Wear, Vol. 160, Issue 2 https://doi.org/10.1016/0043-1648(93)90428-O	journal	February 1993
Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat Kogut, L.; Etsion, I. Journal of Applied Mechanics, Vol. 69, Issue 5 https://doi.org/10.1115/1.1490373	journal	August 2002
Non Destructive Characterization of Cortical Bone Micro-Damage by Nonlinear Resonant Ultrasound Spectroscopy Haupert, Sylvain; Guérard, Sandra; Peyrin, Françoise PLoS ONE, Vol. 9, Issue 1 https://doi.org/10.1371/journal.pone.0083599	journal	January 2014
Dynamic acousto-elastic response of single fatigue cracks with different microstructural features: An experimental investigation Jin, Jiang; Rivière, Jacques; Ohara, Yoshikazu Journal of Applied Physics, Vol. 124, Issue 7 https://doi.org/10.1063/1.5036531	journal	August 2018
Hysteretic linear and nonlinear acoustic responses from pressed interfaces Kim, Jin-Yeon; Baltazar, Arturo; Hu, Jong Wan International Journal of Solids and Structures, Vol. 43, Issue 21 https://doi.org/10.1016/j.ijsolstr.2005.11.006	journal	October 2006
The ultrasonic pulse-echo technique as applied to adhesion testing Tattersall, H. G. Journal of Physics D: Applied Physics, Vol. 6, Issue 7 https://doi.org/10.1088/0022-3727/6/7/305	journal	May 1973
Single-Phase (Brine) and Two-Phase (DNAPL–Brine) Flows in Induced Fractures Weerakone, W. M. S. B.; Wong, R. C. K.; Mehrotra, A. K. Transport in Porous Media, Vol. 89, Issue 1 https://doi.org/10.1007/s11242-011-9753-6	journal	March 2011
Microcrack-based coupled damage and flow modeling of fracturing evolution in permeable brittle rocks Lu, Y. L.; Elsworth, D.; Wang, L. G. Computers and Geotechnics, Vol. 49 https://doi.org/10.1016/j.compgeo.2012.11.009	journal	April 2013
Influence of fracture anisotropy and lithological heterogeneity on wellfield response in a fluvial sandstone aquifer of the Carboniferous Moncton Subbasin, Canada DesRoches, Aaron J.; Butler, Karl E.; Pelkey, Shaun Hydrogeology Journal, Vol. 21, Issue 3 https://doi.org/10.1007/s10040-012-0931-6	journal	November 2012
Experimental investigation of nonlinear acoustic effect at crack Lee, Tae Hun; Jhang, Kyung Young NDT & E International, Vol. 42, Issue 8 https://doi.org/10.1016/j.ndteint.2009.07.004	journal	December 2009
Measurement of the ultrasonic nonlinearity of kissing bonds in adhesive joints Yan, Dawei; Drinkwater, Bruce W.; Neild, Simon A. NDT & E International, Vol. 42, Issue 5 https://doi.org/10.1016/j.ndteint.2009.02.002	journal	July 2009
On the relationship between ultrasonic and micromechanical properties of contacting rough surfaces Baltazar, A. Journal of the Mechanics and Physics of Solids, Vol. 50, Issue 7 https://doi.org/10.1016/S0022-5096(01)00119-3	journal	July 2002
Numerical simulation of Rayleigh wave interaction with surface closed cracks under external pressure Yuan, Maodan; Zhang, Jianhai; Song, Sung-Jin Wave Motion, Vol. 57 https://doi.org/10.1016/j.wavemoti.2015.03.009	journal	September 2015
Ultrasonics of non-linear contacts: propagation, reflection and NDE-applications Solodov, Igor Yu. Ultrasonics, Vol. 36, Issue 1-5 https://doi.org/10.1016/S0041-624X(97)00041-3	journal	February 1998
Nonlinear acoustic interaction on contact interfaces and its use for nondestructive testing Donskoy, D.; Sutin, A.; Ekimov, A. NDT & E International, Vol. 34, Issue 4 https://doi.org/10.1016/S0963-8695(00)00063-3	journal	June 2001
Quantification of nonlinear elasticity for the evaluation of submillimeter crack length in cortical bone Haupert, Sylvain; Guérard, Sandra; Mitton, David Journal of the Mechanical Behavior of Biomedical Materials, Vol. 48 https://doi.org/10.1016/j.jmbbm.2015.04.013	journal	August 2015
Ultrasonic assessment of rough surface contact between solids from elastoplastic loading–unloading hysteresis cycle Kim, J. -Y; Baltazar, A.; Rokhlin, S. I. Journal of the Mechanics and Physics of Solids, Vol. 52, Issue 8 https://doi.org/10.1016/j.jmps.2004.01.006	journal	August 2004
Two dimensional modeling of elastic wave propagation in solids containing cracks with rough surfaces and friction – Part I: Theoretical background Aleshin, Vladislav; Delrue, Steven; Trifonov, Andrey Ultrasonics, Vol. 82 https://doi.org/10.1016/j.ultras.2017.07.002	journal	January 2018
On the Acoustic Nonlinearity of Solid-Solid Contact With Pressure-Dependent Interface Stiffness Biwa, S.; Nakajima, S.; Ohno, N. Journal of Applied Mechanics, Vol. 71, Issue 4 https://doi.org/10.1115/1.1767169	journal	July 2004
Prediction of contact parameters using ultrasonic method Królikowski, J.; Szczepek, J. Wear, Vol. 148, Issue 1 https://doi.org/10.1016/0043-1648(91)90216-H	journal	August 1991
Remote dynamic acoustoelastic testing: Elastic and dissipative acoustic nonlinearities measured under hydrostatic tension and compression Renaud, Guillaume; Callé, Samuel; Defontaine, Marielle Applied Physics Letters, Vol. 94, Issue 1 https://doi.org/10.1063/1.3064137	journal	January 2009
Measurement of Capillary Pressure Curve of DNAPL in a Water-Saturated Sandstone Fracture Weerakone, W. M. S. B.; Wong, R. C. K.; Mehrotra, A. K. Journal of Geotechnical and Geoenvironmental Engineering, Vol. 138, Issue 5 https://doi.org/10.1061/(ASCE)GT.1943-5606.0000590	journal	May 2012
2D finite element modeling of the non-collinear mixing method for detection and characterization of closed cracks Blanloeuil, P.; Meziane, A.; Bacon, C. NDT & E International, Vol. 76 https://doi.org/10.1016/j.ndteint.2015.08.001	journal	December 2015
Two dimensional modeling of elastic wave propagation in solids containing cracks with rough surfaces and friction – Part II: Numerical implementation Delrue, Steven; Aleshin, Vladislav; Truyaert, Kevin Ultrasonics, Vol. 82 https://doi.org/10.1016/j.ultras.2017.07.003	journal	January 2018
Fluid flow through rough fractures in rocks. II: A new matching model for rough rock fractures Ogilvie, Steven R.; Isakov, Evgeny; Glover, Paul W. J. Earth and Planetary Science Letters, Vol. 241, Issue 3-4 https://doi.org/10.1016/j.epsl.2005.11.041	journal	January 2006
CAN: an example of nonclassical acoustic nonlinearity in solids Solodov, I. Yu.; Krohn, N.; Busse, G. Ultrasonics, Vol. 40, Issue 1-8 https://doi.org/10.1016/S0041-624X(02)00186-5	journal	May 2002
Relationship between normal and tangential contact stiffness of nominally flat surfaces Sherif, Hany. A.; Kossa, S. S. Wear, Vol. 151, Issue 1 https://doi.org/10.1016/0043-1648(91)90345-U	journal	November 1991
Stiffness evaluation of contacting surfaces by bulk and interface waves Biwa, Shiro; Hiraiwa, Shunsuke; Matsumoto, Eiji Ultrasonics, Vol. 47, Issue 1-4 https://doi.org/10.1016/j.ultras.2007.08.005	journal	December 2007
Closure of random elastic surfaces in contact Brown, Stephen R.; Scholz, Christopher H. Journal of Geophysical Research: Solid Earth, Vol. 90, Issue B7 https://doi.org/10.1029/JB090iB07p05531	journal	June 1985

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36 MATERIALS SCIENCE
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Title: An integrated analytical and experimental study of contact acoustic nonlinearity at rough interfaces of fatigue cracks

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