Modelling of nonlinear crack-wave interactions for damage detection based on ultrasound - A review

Journal of Sound and Vibration

Volumn 333, Issue 4, 2014, Pages 1097-1118

  Broda, D ^a   Staszewski, W J ^a   Martowicz, A ^a   Uhl, T ^a   Silberschmidt, V V ^b  

^a AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CRACKED SOLID; LINEAR PHENOMENA; NON-LINEAR ACOUSTICS; NONLINEAR EFFECT; PHYSICAL MECHANISM; RESEARCH INTERESTS;

DAMAGE DETECTION; NONLINEAR OPTICS; ULTRASONIC APPLICATIONS;

CRACKS;

EID: 84889092832     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2013.09.033     Document Type: Review

References (167)

1. C.R. Farrar, and K. Worden An introduction to structural health monitoring Philosophical Transactions of the Royal Society A 365 2007 303 315
2. C. Boller, G.R. Tomlinson, and W.J. Staszewski Health Monitoring of Aerospace Structures: Smart Sensor Technologies and Signal Processing 2004 John Wiley & Sons Ltd Chichester
3. P.C. Chang, A. Flatau, and S.C. Liu Review paper: health monitoring of civil infrastructure Structural Health Monitoring 2 2003 257 267 3 2003 257 267
4. D. Balageas Introduction to structural health monitoring C-P Fritzen, A. Guemes, D. Balageas, Structural Health Monitoring 2006 ISTE Ltd London
5. A. Raghavan, and C.E.S. Cesnik Review of guided-wave structural health monitoring The Shock and Vibration Digest 39 2007 91 114
6. J.L. Rose A baseline and vision of ultrasonic guided wave inspection potential Journal of Pressure Vessel Technology 124 2002 273 282
7. O.V. Rudenko, and M.J. Crocker Nonlinear acoustics M.J. Crocker, Handbook of Noise and Vibration Control 2007 John Wiley & Sons Hoboken
8. L.A. Ostrovsky, and P.A. Johnson Dynamic nonlinear elasticity in geomaterials Rivista Del Nuovo Cimento 27 2001 1 46 7 2001 1 46
9. L. Rayleigh Theory of Sound 2nd ed. 1896 McMillan London
10. L.K. Zarembo, and V.A. Krasil'nikov Nonlinear phenomena in the propagation of elastic waves in solids Soviet Physics Uspekhi 13 1971 778 797 6 1971 778 797
11. A.L. Thuras, R.T. Jenkins, and H.T. O'Neil Extraneous requencies generated in air carrying intense sound waves Journal of the Acoustical Society of America 6 3 1935 173
12. L.A. Ostrovsky, S.N. Gurbatov, and J.N. Didenkulov Nonlinear acoustics in Nizhni Novgorod (A Review) Acoustical Physics. 51 2 2005 114 127
13. T. Bateman, W.P. Mason, and H.J. McSkimin Third-order elastic moduli of germanium Journal of Applied Physics. 32 5 1961 928 936
14. M.A. Breazeale, and F. Ford Ultrasonic studies of the nonlinear behaviour of solids Journal of Applied Physics. 36 11 1965 3486 3490
15. L.A. Ostrovsky, I.A. Soustova, and A.M. Sutin Nonlinear and parametric phenomena in dispersive acoustic systems Acustica 39 5 1978 298
16. O. Buck, W.L. Morris, and J.M. Richardson Acoustic harmonic generation at unbounded interfaces and fatigue cracks Applied Physics Letters 33 5 1978 371 373
17. J.M. Richardson Harmonic generation at an unbounded interface. I - Planar interface between semi-infinite elastic media International Journal of Engineering Science 17 1 1979 73 85
18. B. McKavanagh, and F.D. Stacey Mechanical hysteresis in rocks at low strain amplitudes and seismic frequencies Physics of the Earth and Planetary Interiors 8 1974 246 250 3 1974 246 250
19. A.E.H. Love A Treatise on the Mathematical Theory of Elasticity 1944 Dover Publications, Inc. Mineola
20. J.B. Walsh The effect of cracks on the uniaxial elastic compression of rocks Journal of Geophysical Research 70 2 1965 399 411
21. R.A. Guyer, and P.A. Johnson Nonlinear Mesoscopic Elasticity: The Complex Behaviour of Granular Media Including Rocks and Soil 2009 Weinheim: Wiley - CVH Verlag GmbH & Co. KGaA Weinheim, Germany
22. K.E.A. Abeele, P.A. Johnson, and A. Sutin NEWS techniques to discern material damage, Part I: NWMS (Nonlinear Wave Modulation Spectroscopy) Research in Nondestructive Evaluation. 12 2000 17 30
23. R.A. Guyer, and P.A. Johnson Nonlinear mesoscopic elasticity: evidence for a new class of materials Physics Today. 52 4 1999 30
24. D.J. Holcomb Memory, relaxation, and microfracturing in dilatant rock Journal of Geophysical Research 86 B7 1981 6235 6248
25. C.H. Scholz, and S.H. Hickman Hysteresis in the closure of a nominally flat crack Journal of Geophysical Research 88 1983 B8
26. J.A. TenCate, and T.J. Shankland Slow dynamics in the nonlinear elastic response of Berea sandstone Geophysical Research Letters 23 21 1996 3019 3022
27. J.A. TenCate, E. Smith, and R.A. Guyer Universal slow dynamics in granular solid Physical Review Letters. 85 5 2000 1020 1023
28. V. Zaitsev, V. Gusev, and B. Castagnede Thermoelastic mechanism for logarithmic slow dynamics and memory in elastic wave interactions with individual cracks Physical Review Letters 90 2003 7
29. T.G. Chondros, A.D. Dimarogonas, and J. Yao Longitudinal vibration of a bar with a breathing crack Engineering Fracture Mechanics. 61 1998 503 518
30. T.G. Chondros Vibrations of a beam with a breathing crack Journal of Sound and Vibration. 239 1 2001 57 67
31. R.A. Guyer, J. TenCate, and P. Johnson Hysteresis and the dynamic elasticity of consolidated granular materials Physical Reviev Letters 82 1999 16
32. P.A. Johnson, B. Zinszner, and P.N.J. Rasolofosaon Resonance and elastic nonlinear phenomena in rock Journal of Geophysical Research 101 B5 1996 11533 11564
33. K. Van Den Abeele, J. Carmeliet, J.A. Ten Cate, and P.A. Johnson Nonlinear elastic wave spectroscopy [NEWS] techniques to discern material damage. Part II: Single mode nonlinear resonance acoustic spectroscopy Research in Nondestructive Evaluation. 12 1 2000 31 42
34. V. Zaitsev, and P. Sas Dissipation in microinhomogeneous solids: Inherent amplitude-dependent losses of a non-hysteretical and non-frictional type Acustica 86 2000 429 445
35. V. Zaitsev, V. Gusev, and B. Castagnede Luxemburg-Gorky effect retooled for elastic waves: A mechanism and experimental evidence Physical Review Letters 89 2002 10
36. V.Y. Zaitsev, V. Gusev, and B. Castagnede Observation of the "Luxemburg-Gorky effect" for elastic waves Ultrasonics 40 2002 627 631
37. K.Y. Jhang Nonlinear ultrasonic techniques for nondestructive assessment of micro damage in material: A review International Journal of Precision Engineering and Manufacturing 10 1 2009 123 135
38. I.Y. Solodov, N. Krohn, and G. Busse CAN: an example of nonclassical acoustic nonlinearity in solids Ultrasonics 40 2002 621 625
39. K. Van Den Abeele, A. Sutin, J. Carmeliet, and P.A. Johnson Micro-damage diagnostics using nonlinear elastic wave spectroscopy [NEWS] NDT&E International 34 2001 239 248
40. D. Donskoy, A. Sutin, and A. Ekimov Nonlinear acoustic interaction on contact interfaces and its use for nondestructive testing NDT&E International 34 2001 231 238
41. A.S. Korotkov, M.M. Slavinsky, and A.M. Sutin Variations of acoustic nonlinear parameters with the concentration of defects in steel Acoustical Physics 40 1 1994 71 74
42. A.E. Ekimov, I.N. Didenkulov, and V.V. Kozakov Modulation of torsional waves in a rod with crack Journal of Acoustical Society of America 106 3 1999 1289 1292
43. L. Straka, Y. Yagodzinskyy, M. Landa, and H. Hanninen Detection of structural damage of aluminium alloy 6082 using elastic wave modulation spectroscopy NDT&E International 41 2008 554 563
44. A. Zagrai, D. Donskoy, A. Chudnovsky, and E. Golovin Micro- and macroscale damage detection using the nonlinear acoustic vibro-modulation technique Research in Nondestructive Evaluation. 19 2008 104 128
45. V.V. Kazakov, A. Sutin, and P.A. Johnson Sensitive imaging of an elastic nonlinear wave-scattering source in a solid Applied Physics Letters. 81 2002 4
46. A. Sutin, P. Johnson, J. TenCate, Development of nonlinear time reversed acoustics [NLTRA] for applications to crack detection in solids. Paris: Proceedings of the World Congress on Ultrasonics, 2003. pp. 121-124.
47. T.J. Ulrich, A.M. Sutin, R.A. Guyer, and P.A. Johnson Time reversal and non-linear elastic wave spectroscopy [TR NEWS] techniques International Journal of Non-linear Mechanics 43 2008 209 216
48. V.A. Antonets, D.M. Donskoy, and A.M. Sutin Nonlinear vibro-diagnostics of flaws in multilayered structures Mechanics of Composite Materials 15 1986 934
49. G. Shui, and Y. Wand Nondestructive evaluation of material damage using nonlinear Rayleigh Advanced Materials Research 463 2012 1522 1526
50. C. Pruell, J-Y Kim, J. Qu, and L.J. Jacobs Evaluation of fatigue damage using nonlinear guided waves Smart Materials and Structures 18 2009 3
51. M. Ryles, F.H. Ngau, I. McDonald, and W.J. Staszewski Comparative study of nonlinear acoustic and Lamb wave techniques for fatigue crack detection in metallic structures Fatigue and Fracture of Engineering Materials and Structures 31 2008 674 683
52. J-Y. Kim, L.J. Jacobs, and J. Qu Experimental characterization of fatigue damage in a nickel-base superalloy using nonlinear ultrasonic waves Journal of Acoustical Society of America 120 3 2006 1266 1273
53. P.B. Nagy Fatigue damage assessment by nonlinear ultrasonic materials characterization Ultrasonics 36 1998 375 381
54. S. Palit Sagar, S. Das, N. Parida, and D.K. Bhattacharya Non-linear ultrasonic techniques to assess fatigue damage in structural steel Scripta Materialia 55 2006 199 202
55. J.H. Cantrell, and W.T. Yost Nonlinear ultrasonic characterization of fatigue microstructures International Journal of Fatigue. 23 2001 487 490
56. A. Klepka, W.J. Staszewski, T. Uhl, D. Di Maio, F. Scarpa, and K.F. Tee Impact damage detection in composite chiral sandwich panels Key Engineering Materials 518 2012 160 167
57. M. Muller, A. Sutin, R. Guyer, M. Talmant, P. Laugier, and P.A. Johnson Nonlinear resonant ultrasound spectroscopy [NRUS] applied to damage assessment in bone Journal of Acoustical Society of America 118 6 2005 3946 3952
58. T. Kujawksa, J. Wójcik, and A. Nowicki Determination of B/A of biological media by measuring and modeling nonlinear distortion of pulsed acoustic wave in two-layer system of media Acoustical Imaging 30 5 2011 295 303
59. A.A. Shah, Y. Ribakov, and S. Hirose Nondestructive evaluation of damaged concrete using nonlinear ultrasonics Materials & Design 30 3 2009 775 782
60. R.B. Jenal, W.J. Staszewski, Crack detection in glass plates using nonlinear acoustics with low-profile piezoceramic transducers. Proceedingas of SPIE 7650, Health Monitoring of Structural and Biological Systems, San Diego, CA, 2010.
61. F. Aymerich, and WJ Staszewski Experimental study of impact-damage detection in composite laminates using cross-modulation vibro-acoustic technique Structural Health Monitoring 9 6 2010 541 553
62. A. Klepka, W.J. Staszewski, R.B. Jenal, M. Szwedo, J. Iwaniec, and T. Uhl Nonlinear acoustics for fatigue crack detection - Experimental investigations of vibro - acoustic wave modulations Structural Health Monitoring 11 2012 197 211
63. Z. Parsons, and W.J. Staszewski Nonlinear acoustics with low-profile piezoceramic excitation for crack detection in metallic structures Smart Materials and Structures 15 2006 1110 1118
64. A.M. Sutin, P.A, Johnson. Nonlinear elastic wave NDE II: Nonlinear wave modulation spectroscopy and nonlinear time reversed acoustics. AIP Conference Proceedings, vol. 760, Review of progress in quantitative nondestructive evaluation, vol. 24, Golden, Colorado, July 2004.
65. O.V. Rudenko Giant nonlinearities in structurally inhomogeneous media and the fundamentals of nonlinear acoustic diagnostic techniques Physics - Uspekhi 49 1 2006 69 87
66. L.A. Ostrovsky, and O.V. Rudenko The problems of nonlinear acoustics which seem to be the most important and interesting today Acoustical Physics 55 6 2009 715 721
67. V. Tournat, and V.E. Gusev Acoustic of unconsolidated "model" granular media: An overview of recent results and several open problems Acta Acustica United with Acustica 96 2010 208 224
68. L.D. Landau, and E.M. Lifshitz Theory of Elasticity 3rd ed. 1986 Elsevier Ltd Oxford
69. K.R. McCall, and R.A. Guyer A new theoretical paradigm to describe hysteresis, discrete memory and nonlinear elastic wave propagation in rock Nonlinear Processes in Geophysics 3 1996 89 101
70. V. Gusev, V. Tournat, and B. Castagnede Nonlinear acoustic phenomena in micro-inhomogeneous media C. Potel, M. Bruneau, Materials and Acoustic Handbook 2009 ISTE Ltd London
71. K. Worden, and G.R. Tomlinson Nonlinearity in Structural Dynamics: Detection, Identification and Modelling 2001 IOP Publishing Ltd Bristol
72. M.I. Friswell, and J.E.T. Penny Crack modeling for structural health monitoring Structural Health Monitoring 1 2002 139 148 2 2002 139 148
73. P. Gudmundson The dynamic behaviour of slender structures with cross-sectional cracks Journal of the Mechanics and Physics of Solids 31 4 1983 329 345
74. A. Ibrahim, F. Ismail, and H.R. Martin Modelling of the dynamics of continuous beam including nonlinear fatigue crack Journal of Analytical, Experimental Modal Analysis 2 1987 76 82
75. M. Chati, R. Rand, and S. Mukherjee Modal analysis of cracked beam Journal of Sound and Vibration. 207 2 1997 249 270
76. M. Kisa, and J. Brandon The effects of closure of cracks on the dynamics of a cracked cantilever beam Journal Sound and Vibration 238 1 2000 1 18
77. M. Krawczuk, O. Ostachowicz, Forced vibrations of a cantilever Timoshenko beam with a closing crack, Proceedings of ISMA, Leuven, Belgium, 19, 1994, 1067-1078.
78. A.D. Dimarogonas Vibration of cracked structures: a state of the art review Engineering Fracture Mechanics 55 5 1996 831 857
79. M.I. Friswell, J.E.T. Penny, A simple, nonlinear model of a cracked beam, Proceedings of 10th International Modal Analysis Conference, 1992, San Diego, California, pp. 516-521.
80. R. Ruotolo, C. Surace, P. Crespo, and D. Storer Harmonic analysis of the vibrations of a cantilevered beam with a closing crack Computers & Structures 61 1996 1057 1074 6 1996 1057 1074
81. A. Riviola, and P.R. White Bispectral analysis of the bilinear oscillator with application to the detection of fatigue cracks Journal of Sound and Vibration 216 5 1998 889 910
82. J.K. Sinha Higher order coherences for fatigue crack detection Engineering Structures 31 2009 534 538
83. E. Douka, and L.J. Hadjileontiadis Time-frequency analysis of the free vibration response of a beam with a breathing crack NDT&E International 38 2005 3 10
84. S. Loustridis, E. Douka, and L.J. Hadjileontiadis Forced vibration behaviour and crack detection of cracked beams using instantaneous frequency NDT&E International 38 2005 411 419
85. K. Worden, C.R. Farrar, J. Haywood, and M. Todd A review of nonlinear dynamics applications to structural health monitoring Structural Control and Health Monitoring 15 4 2008 540 567
86. V. Hiwarkar,Nonlinear Dynamics of Cracked Structures for Non-Destructive Evaluation. Loughborough: a Doctoral Thesis, Loughborough University, 2010.
87. V.R. Hiwarkar, V.I. Babitsky, and V.V. Silberschmidt On the modeling of dynamic structures with discontinuities Nonlinear Dynamics. 67 2012 2651 2669
88. V.R. Hiwarkar, W.I. Babitsky, and V.V. Silberschmidt Crack as modulator, detector and amplifier in structural health monitoring Journal of Sound and Vibration. 331 2012 3587 3598
89. L.A Ostrovsky Wave processes in media with strong acoustic nonlinearity Journal of Acoustical Society of America 90 6 1991 3332 3337
90. D. Dutta, H. Sohn, K.A. Harries, and P. Rizzo A nonlinear acoustic technique for crack detection in metallic structures Structural Health Monitoring 8 2009 251 262 3 2009 251 262
91. J.Y. Kim, V.A. Yakovlev, and S.I. Rokhlin Parametric modulation mechanism of surface acoustic wave on a partially closed crack Applied Physics Letters 82 2003 19
92. B.A. Korshak, I.Y. Solodov, and E.M. Ballad DC effects, sub-harmonics, stochasticity and 'memory' for contact acoustic non-linearity Ultrasonics 40 2002 707 713
93. E.M. Ballad, S.Yu. Vezirov, K. Pfeiderer, I.Yu. Solodov, and G. Busse Nonlinear modulation technique for NDE with air-coupled ultrasound Ultrasonics 42 2004 1031 1036
94. I. Solodov, J. Wackerl, K. Pfleiderer, and G. Busse,Nonlinear Self-modulation and subharmonic acoustic spectroscopy for damage detection and location Applied Physics Letters 84 2004 5386
95. A.J. Hillis, S.A. Neild, B.W. Drinkwater, P.D. Wilcox, Global crack detection using bispectral analysis, Proceedings of the Royal Society A, 2006, vol. 462, pp. 1515-1530.
96. I.Y. Solodov Ultrasonics of non-linear contacts: propagation, reflection and NDE-applications Ultrasonics 36 1998 383 390
97. C. Pecorari, and I. Solodov Nonclassical nonlinear dynamics of solid surfaces in partial contact for NDE applications P.P. Delsanto, Universality of Nonclassical Nonlinearity 2006 Springer New York
98. F. Semperlotti, K.W. Wang, and E.C. Smith Localisation of a breathing crack using super-harmonic signals due to system nonlinearity AIAA Journal 47 9 2009 2076 2086
99. D. Yan, B.W. Drinkwater, and S.A. Neild Measurement of the ultrasonic nonlinearity of kissing bonds in adhesive joints NDT&E International 42 2009 459 466
100. A. Moussatov, V. Gusev, and B. Castagnede Self-induced hysteresis for nonlinear acoustic waves in cracked material Physical Review Letters. 90 2003 12
101. I.Y. Solodov, and B.A. Korshak Instability, chaos, and "memory" in acoustic-wave-crack interaction Physical Review Letters 88 2002 1
102. V. Gusev, B. Castagnede, and A. Moussatov Hysteresis in response of nonlinear bistable interface to continuously varying acoustic loading Ultrasonics 41 2003 643 654
103. V. Gusev Frequency dependence of dynamic hysteresis in the interaction of acoustic wave with interface Journal of Acoustical Society of America 115 2004 3
104. I. Solodov, N. Krohn, G. Busse, Nonlinear ultrasonic NDT for Early defect recognition and imaging, Proceedings of the 10th European Conference on Non-Destructive Testing, Moscow, 2010.
105. J.C. Jaeger, N.G.W. Cook, and R.W. Zimmerman Fundamentals of Rock Mechanics 4th ed. 2007 s.l.: Blackwell Publishing Malden, USA
106. K.R. McCall, and R.A. Guyer Equation of state and wave propagation in hysteretic nonlinear elastic materials Journal of Geophysical Research 99 B12 1994 23 (887-23,897)
107. K.E. Van Den Abeele, P.A. Johnson, R.A. Guyer, and K.R. McCall On the quasi-analytic treatment of hysteretic nonlinear response in elastic wave propagation Journal of Acoustical Society of America 101 4 1997 1885 1898
108. V. Nazarov Propagation of a unipolar impulse in a medium with hysteretic nonlinearity Acoustical Physics 43 2 1997 192 195
109. J. Mayergoyz Hysteresis models from the mathematical and control theory points of view Journal of Applied Physics 57 8 1985 3803 3805
110. R.A. Guyer, K.R. McCall, and G.N. Boitnott Hysteresis, discrete memory, and nonlinear wave propagation in rock: a new paradigm Physical Review Letters 74 1995 17
111. R.A. Guyer, K.R. McCall, G.N. Boitnott, L.B. Hilbert Jr., and T.J. Plona Quantitative implementation of Preisach - Mayergoyz space to find static and dynamic elastic moduli in rock Journal of Geophysical Research 102 B3 1997 5281 5293
112. J. Ortin Preisach modeling of hysteresis for a pseudoelastic Cu-Zn-AI single crystal Journal of Applied Physics 71 1992 3
113. M. Meo, U. Polimeno, and G. Zumpao Detecting damage in composite material using nonlinear elastic wave spectroscopy methods Applied Composite Materials 15 2008 115 126
114. V.E. Gusev, W. Lauriks, and J. Thoen Dispersion of nonlinearity, nonlinear dispersion, and absorption of sound in micro-inhomogeneous materials Journal of Acoustical Society of America 103 6 1998 3216 3226
115. V. Aleshin, and K. Van Den Abeele Micro-potential model for stress-strain hysteresis of micro cracked materials Journal of the Mechanics and Physics of Solids 53 2005 795 824
116. V. Aleshin, and K. Van Den Abeele Microcontact-based theory for acoustics in microdamaged materials Journal of the Mechanics and Physics of Solids 55 2007 366 390
117. M.W. Barsoum, A. Murugaiah, S.R. Kalidindi, and T. Zhen Kinking nonlinear elastic solids, nanoindentations, and geology Physical Review Letters 92 2004 25
118. V. Gusev, and V. Tournat Amplitude- and frequency-dependent nonlinearities in the presence of thermally-induced transitions in the preisach model of acoustic hysteresis Physical Review B 72 2005 5
119. K.L. Johnson Contact Mechanics: (Cambridge University Press Cambridge U.P,) 1985.
120. I.Y. Belyaeva, V.Y. Zaitsev, and L.A. Ostrovsky Nonlinear acousto-elastic properties of granular media Acoustical Physics. 39 1 1993 11 15
121. I.Y. Belyaeva, L.A. Ostrovsky, and E.M. Timanin Experiments on harmonic generation in grainy media Acoustics Research Letters 15 1992 221 224 11 1992 221 224
122. I.Y. Belyaeva, V.Y. Zaitsev, and E.M. Timanin Experimental study of nonlinear elastic properties of granular media with nonideal packing Acoustical Physics. 40 6 1994 789 793
123. L.A. Ostrovsky, P.A. Johnson, T.J. Shankland, The mechanism of strong nonlinear elasticity in Earth solids, Nonlinear Acoustics at the Turn of the Millennium: ISNA 15, Proceedings of the 15th International Symposium on AIP Conference 524, Gottingen, Germany, 2000. pp. 75-84.
124. A.M. Sutin, V.E. Nazarov, Nonlinear acoustic methods of crack diagnostics, 1995, vol. 38, 3, pp. 109-120.
125. V.E. Nazarov, and A.M. Sutin Nonlinear elastic constants of solids with cracks Journal of Acoustical Society of America 102 1997 3349 3354 6 1997 3349 3354
126. B.N.J. Persson Contact mechanics for randomly rough surfaces Surface Science Reports. 61 4 2006 201 227
127. J.A. Greenwood, J.B. Williamson, Contact of nominally flat surfaces. Proceedings of the Royal Society A, 1966, vol. 295, pp. 300-319.
128. V.L. Popov Contact Mechanics and Friction: Physical principles and Applications 2010 Springer - Verlag Berlin
129. A. Baltazar, S.I. Rokhlin, and C. Pecorari On the relationship between ultrasonic and micromechanical properties of contacting rough surfaces Journal of the Mechanics and Physics of Solids 50 2002 1397 1416
130. C. Pecorari Nonlinear interaction of plane ultrasonic waves with an interface between rough surfaces in contact Journal of the Acoustical Society of America 113 6 2003 3065 3072
131. T. Nam, T. Lee, C. Kim, K-Y Jhang, and N. Kim Harmonic generation of an obliquely incident ultrasonic wave in solid-solid contact interfaces Ultrasonics 52 6 2012 778 783
132. C. Pecorari Adhesion and nonlinear scattering by rough surfaces in contact: Beyond the phenomenology of the Preisach-Mayergoyz framework Journal of the Acoustical Society of America 116 4 2004 1938 1947
133. S. Biwa, S. Nakajima, and N. Ohno On the acoustic nonlinearity of solid-solid contact with pressure-dependent interface stiffness Journal of Applied Mechanics 71 4 2004 508 515
134. B.W. Drinkwater, R.S. Dwyer-Joyce, P. Cawley, A study of the interaction between ultrasound and a partially contacting solid-solid interface. Proceedings of the Royal Society A, 1996, vol. 452, pp. 2613-2628.
135. S. Biwa, S. Hiraiwa, and E. Matsumoto Experimental and theoretical study of harmonic generation at contacting interface Ultrasonics 44 2006 1319 1322
136. O. Rudenko, and Chin An Vu Nonlinear acoustic properties of a rough surface contact and acousto-diagnostic of a roughness height distribution Acoustical Physics 40 1994 593 596 4 1994 593 596
137. J.Y. Kim, A. Baltazar, J.W. Hu, and S.I. Rokhlin Hysteretic linear and nonlinear acoustic responses from pressed interfaces International Journal of Solids and Structures. 43 2006 6436 6452
138. J.Y. Kim, A. Baltazar, and S.I. Rokhlin Ultrasonic assessment of rough surface contact between solids from elastoplatic loading-unloading hysteresis cycle Journal of the Mechanics and Physics of Solids 52 2004 1911 1934
139. L. Kogut, and I. Etsion Elastic-plastic contact analysis of a sphere and a rigid flat Journal of Applied Mechanics 69 2002 657 662
140. R.S. Bradley The cohesive force between solid surfaces and the surface energy of solids Philosophical Magazine Series 7 14 1932 86
141. K.L. Johnson, K. Kendall, A.D. Roberts, Surface energy and the contact of elastic solids. Proceedings of the Royal Society A, 1971, vol. 324, 1558, pp. 301-313.
142. J.A. Greenwood, Adhesion of elastic spheres. Proceedings of the Royal Society A, 1997, vol. 453, pp. 1277-1297.
143. K. Yamanaka, T. Mihara, and K.T. Tsuji Evaluation of closed cracks by model analysis of subharmonic ultrasound Japanese Journal of Applied Physics 43 5B 2004 3082
144. Y. Ohara, T. Mihara, and K. Yamanaka Effect of adhesion force between crack planes on subharmonic and DC responses in nonlinear ultrasound Ultrasonics 44 2006 194 199
145. D.J. Whitehouse, J.F. Archard, The properties of random surfaces of significance in their contact. Proceedings of the Royal Society A, 1970, vol. 316, pp. 97-121.
146. J.A. TenCate, D. Pasqualini, S. Habib, K. Heitmann, D. Higdon, and P.A. Johnson Nonlinear and nonequilibrium dynamics in geomaterials Physical Review Letters 93 2004 6
147. M. Rothenfusser, M. Mayr, and J. Baumann Acoustic nonlinearities in adhesive joints Ultrasonics 38 2000 322 326
148. S. Hirsekorn Nonlinear transfer of ultrasound by adhesive joints - a theoretical description Ultrasonics 39 2001 57 68
149. A. Wegner, A. Koka, K. Janser, U. Netzelmann, S. Hirserkorn, and W. Arnold Assessment of the adhesion quality of fusion-welded silicon wafers with nonlinear ultrasound Ultrasonics 38 2000 316 321
150. G.M. Mavko Frictional attenuation: an inherent amplitude dependence Journal of Geophysical Research 84 1979 4769 4775 B9 1979 4769 4775
151. J.B. Walsh Seismic wave attenuation in rock due to friction Journal of Geophysical Research 71 1966 (2951-2599) 10 1966 (2951-2599)
152. V.E. Nazarov, A.V. Radostin, and I.A. Soutova Effect of an intense sound wave on the acoustic properties of a sandstone bar resonator experiment Acoustical Physics 48 1 2002 76 80
153. V.E. Nazarov Sound damping by sound in metals Acoustics Letters 15 1991 22 25
154. S.V. Zimenkov, and V.E. Nazarov The dependence of damping of ultrasound by sound in annealed copper on the frequency of the sound Soviet Physics - Acoustics 38 1992 4
155. S.V. Zimenkov, and V.E. Nazarov Dissipative acoustic nonlinearity of copper Physics of Metals and Metallography. 3 1992 62 65
156. V.E. Nazarov Dissipative acoustic nonlinearity of polycrystalline Zinc Acoustical Physics. 47 4 2001 438 447
157. V.Y. Zaitsev, and V.E. Nazarov Elastic waves in media with nonlinear dissipation Acoustical Physics 44 3 1998 305 311
158. L. Fillinger, V.Yu. Zaitsev, V. Gusev, and B. Castagnede Nonlinear relaxational absorption/transparency for acoustic waves due to thermoelastic effect Acta Acustica united with Acustica. 92 2006 24 34
159. V.E. Nazarov, and A.B. Kolpakov Experimental investigations of nonlinear acoustic phenomena in polycrystalline zinc Journal of the Acoustical Society of America 107 4 2000 1915 1921
160. V. Zaitsev, and P. Sas Elastic moduli and dissipative properties of microinhomogeneous solids with isotropically oriented defects Acustica 86 2000 216 228
161. V. Zaitsev, and P. Sas Nonlinear response of a weakly damaged metal sample: a dissipative modulation mechanism of vibro-acoustic interaction Journal of Vibration and Control 6 2000 803 822
162. K. Zacharias, E. Balabanidou, I. Hatzokos, I.T. Rekanos, and A. Trochidis Microdamage evaluation in human trabecular bone based on ultrasound vibro-modulation (NUVM) Journal of Biomechanics 42 5 2009 581 586
163. V.Yu. Zaitsev, V.E. Nazarov, V. Tournat, V.E. Gusev, and B. Castagnede Luxemburg-Gorky effect in a granular medium: Probing perturbations of the material state via cross-modulation of elastic waves Europhysics Letters 70 5 2005 607 613
164. F. Aymerich, and W.J. Staszewski Experimental study of impact-damage detection in composite laminates using cross-modulation vibro-acoustic technique Structural Health Monitoring 9 2010 541 553 6 2010 541 553
165. V.L. Ginzburg The theory of Luxemburg-Gorky effect Izvestiya Akademii Nauk SSR, Seriya Fizicheskaya 12 1948 253
166. V. Zaitsev, V. Nazarov, V. Gusev, and B. Castagnede Novel nonlinear-modulation acoustic technique for crack detection NDT&E International 39 2006 184 194
167. L.D. Favro, X. Hen, Z. Ouyang, G. Sun, H. Sui, and R.L. Thomas Infrared imaging of defects heated by a sonic pulse Review of Scientific Instruments 71 6 2000 2418 2421