Abstract
Majority of acoustic instruments widely used in industry and technology for non-destructive evaluation (NDE) make use of a linear elastic response of materials. The nonlinear approach to ultrasonic NDE is concerned with nonlinear material response, which is inherently related to the frequency changes of the input signal, and is a new technology for monitoring of deterioration in material properties and diagnostics of damage. The application field now includes both the nonlinear wave and nonlinear vibration modes. The former is based on the assumption and is applicable to the case studies of the distributed material nonlinearity. It profits from accumulation of the wave nonlinear response along the propagation distance and relies on the higher harmonic signals. A strong nonlinear response of non-bonded interfaces in planar defects introduces the nonlinearity localized in the defect area where the vibration nonlinearity steps up. The concept of local defect resonance (LDR) combined with its nonlinearity identifies a nonlinear inclusion as a nonlinear oscillator and brings about different dynamic and frequency scenarios in vibration nonlinear phenomena. The LDR-induced trapping of the nonlinearity generates a defect-selective nonlinearity and conditions for efficient and even noncontact nonlinear diagnostic imaging of damage.
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References
L.K. Zarembo, V.A. Krasilnikov, Vvedenie v nelineinuyu akustiku (Introduction to Nonlinear Acoustics) (Nauka, Moskva, 1966)
M.A. Breazeale, J. Ford, J. Appl. Phys. 36, 3488 (1965)
A.A. Gedroitz, V.A. Krasilnikov, Sov. Phys. JETP 16, 1122 (1963)
W.T. Yost, J.H. Cantrell, Rev. Progr. Quant. Nondestr. Eval. 9, 1669 (1990)
J.H. Cantrell, W.T. Yost, W.T.J., Appl. Phys. 81, 2957 (1997)
K.S. Len, F.M. Severin, IYu. Solodov, Sov. Phys. Acoust. 37, 610 (1991)
I. Solodov, N. Krohn, G. Busse, Ultrasonics 40, 621 (2002)
I.Yu. Solodov, Ultrasonics 36, 383 (1998)
I. Solodov, J. Bai, S. Bekgulyan, G. Busse, Appl. Phys. Lett. 99, 211911 (2011)
I. Solodov, J. Bai, G. Busse, J. Appl. Phys. 113, 223512 (2013)
I. Solodov, G. Busse, Appl. Phys. Lett. 102, 061905 (2013)
J. Hettler, M. Tabatabaeipour, S. Delrue, K.V.D. Abeele, J. Nondestr. Eval. 36, 2 (2017)
M. Rahammer, M. Kreutzbruck, NDT E Internat. 86, 83 (2017)
G.P.M. Fierro, D. Ginzburg, F. Ciampa, M. Meo, J. Nondestr. Eval. 36, 4 (2017)
L. Pieczonka, L. Zietek, A. Klepka, W.J. Staszewski, F. Aymerich, T. Uhl, Damage imaging in composites using nonlinear vibro-acoustic wave modulations. Struct. Contr. Health Monit. 25, 2e2063 (2018)
J. Segers, M. Kersemans, S. Hedayatrasa, J.A.C. Tellez, W. Van Paepegem, NDT E Internat. 98, 130 (2018)
B. Roy, T. Bose, K. Debnath, J. Sound Vibr. 443, 703 (2019)
Ch. Andreades, P. Mahmoodi, F. Ciampa, Characterisation of smart CFRP composites with embedded PZT transducers for nonlinear ultrasonic applications. Comp. Struct. (2018). https://doi.org/10.1016/j.compstruct.2018.08.083
F. Ciampa, G. Scarselli, M. Meo, J. Acoust. Soc. Am. 141, 2364 (2017)
I. Solodov, J. Nondestr. Eval. 33, 252 (2014)
R.N. Thurston, in Physical acoustics, vol. 1, chap. 1. (Academic, New York, 1964)
J. Na, M. Breazeale, J. Acoust. Soc. Am. 95, 3213 (1994)
K. Van Den Abeele, M. Breazeale, J. Acoust. Soc. Am. 99, 1430 (1996)
Ch. Kube, A. Arquelles, J. Acoust. Soc. Am. 142, EL224 (2017)
D. Gerlich, M. Breazeale, J. Appl. Phys. 67, 3278 (1990)
K. Naugolnykh, L. Ostrovskii, Nonlinear Wave Processes in Acoustics. (Cambridge University Press, 1998)
R. Beyer, J. Acoust. Soc. Am. 32, 719 (1960)
E.M. Ballad, B.A. Korshak, V.G. Mozhaev, I. Solodov, Moscow Univ. Bull. Phys. 3, 44 (2001)
M. Breazeale, D. Thompson, Appl. Phys. Lett. 3, 77 (1963)
K. Matlack, J.-Y. Kim, L. Jacobs, J. Qu, J. Nondestr. Eval. 34, 273 (2015)
V.E. Nazarov, Akust. Zh. 37, 150 (1991)
P. Hess, A. Lomonosov, A.P. Mayer, Ultrasonics 54, 39 (2014)
V.A. Krasilnikov, V.E. Ljamov, I. Solodov, Izv. AN SSSR Phys. 35, 944 (1971)
Y. Shui, I. Solodov, J. Appl. Phys. 64, 6155 (1988)
Y. Zheng, R. Maev, I. Solodov, Can. J. Phys. 77, 927 (1999)
A.V. Porubov, Lokalizacija nelinejnyh voln deformacii (Localisation of Nonlinear Deformation Waves) (Fizmatgiz, Moscow, 2009)
B.A. Konyukhov, G.M. Shalashov, J. Appl. Math. Theor. Phys. 4, 125 (1974)
I. Solodov, D. Sci. Dissertation, Moscow State University, 1987
I.B. Yakovkin, D.V. Petrov, Difrakcija sveta na poverkhnostnykh akusticheskikh volnakh (Light Diffraction on Surface Acoustic Waves) (Nauka, Novosibirsk, 1979)
Y. Shui, I. Yu. Solodov, in Proceedings II WESTPA. (Polytech. Institute Hong Kong, 1985), pp 188
A.P. Brysev, V.A. Krasilnikov, A.A. Podgornov, IYu. Solodov, Fiz. Tverd. Tela 26, 2204 (1984)
I.Yu. Solodov, C. Wu, Acoust. Phys. 39, 476 (1993)
K. Sel Len, F.M. Severin, I.Yu. Solodov, Sov. Phys. Acoust. 37, 610 (1991)
R. Maev, I. Solodov, Rev. Progr. Quant. Nondestr. Eval. 19, 1409 (2000)
R. Maev, I. Solodov, IEEE Ultrason. Symp. Proc. 707 (1998)
I. Yu. Solodov, A.F. Asainov, K. Sel Len, Ultrasonics 31, 91 (1993)
I. Solodov, B.A. Korshak, Phys. Rev. Lett. 88, 014303 (2002)
J.D. Achenbach, O.K. Parikh, Rev. Progr. Quant. Nondestr. Eval. 10B, 1837 (1991)
C. Bermes, J.Y. Kim, J. Qu, L.J. Jacobs, Appl. Phys. Lett. 90, 021901 (2007)
T.-H. Lee, I.-M. Choi, K.-Y Jhang, Mod. Phys. Lett., B. 22(11), 1135 (2018)
J. Zhao, V.K. Chillara, B. Ren, H. Cho, J. Qiu, C.J. Lissenden, J. Appl. Phys. 119, 064902 (2016)
I. Solodov, D. Segur, M. Kreutzbruck, Res. Nondestr. Eval. 30, 1 (2019)
I. Solodov, D. Segur, M. Kreutzbruck, in Proceedings of 12th ECNDT, Gothenburg, (2018)
L.D. Landau, E.M. Lifshitz, Mechanics (Pergamon Press Ltd., Oxford-London-Paris, 1960)
N.W. McLachlan, Theory and Applications of Mathieu Functions (University Press, Oxford, 1951)
N. Minorsky, Nonlinear Oscillations (D. Van Nostrand Co., Inc., Princeton, 1962)
F.K. Kneubuehl, Oscillations and Waves (Springer, Berlin, 1997)
I. Solodov, M. Rahammer, N. Gulnizkij, M. Kreutzbruck, J. Nondestr. Eval. 35, 47 (2016)
I. Solodov, D. Döring, G. Busse, Appl. Optics 48, C33 (2009)
W. Post, M. Kersemans, I. Solodov, K. Van Den Abeele, S.J. Garsia, S. van der Zwaag, Compos. Part A: Appl. Sci. Manuf. 101, 243 (2017)
I. Solodov, M. Kreutzbruck (2019). https://doi.org/10.1016/j.ndteint.2019.102146
Acknowledgements
A part of the results in this Chapter has been obtained in the framework of the project KR 2131/12-1 funded by the Deutsche Forschungsgemeinschaft (DFG) whose support is gratefully acknowledged.
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Solodov, I. (2020). Nonlinear Acoustic Measurements for NDE Applications: Waves Versus Vibrations. In: Jhang, KY., Lissenden, C., Solodov, I., Ohara, Y., Gusev, V. (eds) Measurement of Nonlinear Ultrasonic Characteristics. Springer Series in Measurement Science and Technology. Springer, Singapore. https://doi.org/10.1007/978-981-15-1461-6_4
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