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Nonlinear acoustics in studies of structural features of materials

Published online by Cambridge University Press:  09 May 2019

V.Y. Zaitsev
V.Y. Zaitsev*
Affiliation:
Institute of Applied Physics, Russian Academy of Sciences, Russia; [email protected]
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Abstract

Linear elastic moduli of solids with similar chemical compositions usually vary fairly insignificantly. However, for a broad class of apparently similar materials, their higher-order (nonlinear) moduli may differ by many times or even by orders of magnitude. Besides their large magnitude, nonlinear effects often demonstrate qualitative/functional features inconsistent with predictions of the classical theory of nonlinear elasticity based on consideration of weak lattice (atomic) nonlinearity. The latter is mostly applicable to ideal crystals and flawless amorphous solids, whereas the presence of structural heterogeneities can drastically modify the acoustic nonlinearity of materials without appreciable variation in the linear elastic properties. Despite often rather nontrivial/nonstraightforward relationships between microstructural features of the material and the resultant “nonclassical” acoustic nonlinearity, the extremely high structural sensitivity makes utilization of nonlinear acoustic effects attractive for a broad range of diagnostic applications that have been emerging in recent years in various areas—from seismic sounding and nondestructive testing to materials characterization down to the nanoscale.

Keywords

acousticdefectsfracturefatiguemicrostructure
Type
Acoustic Processes in Materials
Information
MRS Bulletin , Volume 44 , Issue 5: Acoustic Processes in Materials , May 2019 , pp. 350 - 360
Copyright
Copyright © Materials Research Society 2019 

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References

Cawley, P., Proc. Inst. Mech. Eng. L J. Mater Des. Appl. 215 (4), 213 (2001).Google Scholar
Rudenko, O.V., Phys. Usp. 49 (1), 69 (2006).CrossRefGoogle Scholar
Kittel, C., Introduction to Solid State Physics, 7th ed. (Wiley, New Delhi, 1995).Google Scholar
Landau, L.D., Lifshitz, E.M., Theory of Elasticity (Pergamon Press, Oxford, UK, 1986).Google Scholar
Rudenko, O.V., Soluyan, S.I., Theoretical Foundations of Nonlinear Acoustics (Consultants Bureau, New York, 1977).CrossRefGoogle Scholar
Naugolnykh, L.K., Ostrovsky, L., Nonlinear Wave Processes in Acoustics (Cambridge University Press, Cambridge, UK, 1998).Google Scholar
Zarembo, L.K., Krasilnikov, V.A., Sov. Phys. Usp. 13, 778 (1971).CrossRefGoogle Scholar
Breazeale, M.A., Thompson, D.O., Appl. Phys. Lett. 3, 77 (1963).CrossRefGoogle Scholar
Gedroits, A., Krasilnikov, V., Sov. Phys. JETP 16 (5), 1122 (1963).Google Scholar
Gedroits, A.A., Zarembo, L.K., Krasil’nikov, V.A., Dokl. Akad. Nauk 150, 515 (1963).Google Scholar
Gits, I.D., Gushchin, V.V., Konyukhov, B.A., Sov. Phys. Acoust. (USSR) 19 (3), 221 (1973).Google Scholar
Buck, O., Morris, W.L., Richardson, J.M., Appl. Phys. Lett. 33 (5), 371 (1978).CrossRefGoogle Scholar
Morris, W.L., Buck, O., Inman, R.V., J. Appl. Phys. 50 (11), 6737 (1979).CrossRefGoogle Scholar
Guyer, R.A., Johnson, P.A., Nonlinear Mesoscopic Elasticity: The Complex Behaviour of Rocks, Soil, Concrete (Wiley-VCH, Weinheim, 2009).CrossRefGoogle Scholar
Johnson, P.A., Mater. World 7, 544 (1999).Google Scholar
Rjelka, M., Köhler, B., Mayer, A., Ultrasonics 90, 98 (2018).CrossRefGoogle Scholar
Nagy, P.B., Ultrasonics 36 (1–5), 375 (1998).CrossRefGoogle Scholar
Klepka, A., Staszewski, W.J., Jenal, R.B., Szwedo, M., Iwaniec, J., Uhl, T., Struct. Health Monit. 11 (2), 197 (2012).CrossRefGoogle Scholar
Marcantonio, V., Monarca, D., Colantoni, A., Cecchini, M., Mech. Syst. Sig. Process. 120, 32 (2019).CrossRefGoogle Scholar
Ostrovsky, L.A., Sov. Phys. Acoust. 34, 523 (1988).Google Scholar
Kolsky, H., Stress Waves in Solids (Dover Publications, New York, 1963).Google Scholar
Zaitsev, V.Y., Acoust. Lett. 19 (9), 171 (1996).Google Scholar
Belyaeva, I.Y., Zaitsev, V.Y., Acoust. Phys. 43, 594 (1997).Google Scholar
Belyaeva, I.Y., Zaitsev, V.Y., Acoust. Phys. 44, 635 (1998).Google Scholar
Zaitsev, V.Y., Nazarov, V.E., Belyaeva, I.Y., Acoust. Phys. 47 (2), 178 (2001).CrossRefGoogle Scholar
Nazarov, V.E., Zaitsev, V.Y., Belyaeva, I.Y., Acta Acust. United Acust. 88 (1), 40 (2002).Google Scholar
Zaitsev, V., Matveev, L., Russ. Geol. Geophys. 47 (5), 694 (2006).Google Scholar
Fillinger, L., Zaitsev, V.Y., Gusev, V., Castagnède, B., Acta Acust. United Acust. 92, 34 (2006).Google Scholar
Zaitsev, V., Gusev, V., Castagnede, B., Phys. Rev. Lett. 89, 105502 (2002).CrossRefGoogle Scholar
Nazarov, V.E., Ostrovsky, L.A., Soustova, I.A., Sutin, A.M., Phys. Earth Planet. Inter. 50, 65 (1988).CrossRefGoogle Scholar
Guyer, R.A., Johnson, P.A., Phys. Today 52, 30 (1999).CrossRefGoogle Scholar
Johnson, P., Sutin, A., J. Acoust. Soc. Am. 117 (1), 124 (2005).CrossRefGoogle Scholar
Dedkov, G., Phys. Status Solidi A 179, 3 (2000).3.0.CO;2-M>CrossRefGoogle Scholar
Zaitsev, V.Y., Gusev, V.E., Tournat, V., Richard, P., Phys. Rev. Lett. 112, 108302 (2014).CrossRefGoogle Scholar
Gassenmeier, M., Sens-Schönfelder, C., Eulenfeld, T., Bartsch, M., Victor, P., Tilmann, F., Korn, M., Geophys. J. Int. 204, 1490 (2016).CrossRefGoogle Scholar
Snieder, R., Sens-Schönfelder, C., Wu, R., Geophys. J. Int. 208, 1 (2017).CrossRefGoogle Scholar
Johnson, P.A., Jia, X., Nature 437, 871 (2005).CrossRefGoogle Scholar
Kazakov, V.V., Sutin, A.M., Johnson, P.A., Appl. Phys. Lett. 81, 646 (2002).CrossRefGoogle Scholar
Kazakov, V.V., Radiophys. Quantum Electron. 61, 491 (2018).CrossRefGoogle Scholar
Krohn, N., Pfleiderer, K., Solodov, I., Busse, G., Rev. Prog. QNDE 22, 981 (2002).Google Scholar
Krohn, N., Pfleiderer, K., Solodov, I.Y., Busse, G., Nonlinear Acoustics at the Beginning of the 21st Century – Proc. 16th Int. Symp. Nonlin. Acoust., Rudenko, O., Sapozhnikov, O., Eds. (Moscow, Russia, 2002), p. 779.Google Scholar
Fink, M., Cassereau, D., Derode, A., Prada, C., Roux, P., Tanter, M., Thomas, J.L., Wu, F., Rep. Prog. Phys. 63, 1933 (2000).CrossRefGoogle Scholar
Le Bas, P.Y., Ulrich, T.J., Anderson, B.E., Guyer, R.A., Johnson, P.A., J. Acoust. Soc. Am. 130, EL258 (2011).CrossRefGoogle Scholar
Zaitsev, V.Y., Nazarov, V.E., Talanov, V.I., Acoust. Phys. 45, 720 (1999).Google Scholar
Korotkov, A.S., Sutin, A.M., Acoust. Lett. 18 (4), 59 (1994).Google Scholar
Van Den Abeele, K.A., Johnson, P.A., Sutin, A., Res. Nondestr. Eval. 12 (1), 17 (2000).CrossRefGoogle Scholar
Zaitsev, V.Y., Nazarov, V.E., Talanov, V.I., Phys. Usp. 49 (1), 89 (2006).CrossRefGoogle Scholar
Zaitsev, V.Y., Matveev, L.A., Matveyev, A.L., NDT E Int. 42, 622 (2009).CrossRefGoogle Scholar
Zaitsev, V.Y., Matveev, L.A., Matveyev, A.L., NDT E Int . 44, 21 (2011).CrossRefGoogle Scholar
Zaitsev, V., Nazarov, V., Gusev, V., Castagnede, B., NDT E Int . 39, 184 (2006).CrossRefGoogle Scholar
Ten Cate, J.A., Smith, E., Guyer, R., Phys. Rev. Lett. 85, 1020 (2000).CrossRefGoogle Scholar
Zaitsev, V., Gusev, V., Castagnede, B., Phys. Rev. Lett. 90, 075501 (2003).CrossRefGoogle Scholar
Riviére, J., Renaud, G., Guyer, R.A., Johnson, P.A., J. Appl. Phys. 114, 054905 (2013).CrossRefGoogle Scholar
Tournat, V., Zaitsev, V., Gusev, V., Nazarov, V., Béquin, P., Castagnède, B., Phys. Rev. Lett. 92, 085502 (2004).CrossRefGoogle Scholar
Solodov, I., Wackerl, J., Pfleiderer, K., Busse, G., Appl. Phys. Lett. 84, 5386 (2004).CrossRefGoogle Scholar
Fillinger, L., Zaitsev, V., Gusev, V., Castagnède, B., Europhys. Lett. 76, 229 (2006).CrossRefGoogle Scholar
Ouarabi, M.A., Boubenider, F., Gliozzi, A.S., Scalerandi, M., Phys. Rev. B Condens. Matter 94, 134103 (2016).CrossRefGoogle Scholar
Zaitsev, V.Y., Dyskin, A., Pasternak, E., Matveev, L., Europhys. Lett. 86, 44005 (2009).CrossRefGoogle Scholar
Jaeger, H.M., Nagel, S.R., Behringer, R.P., Rev. Mod. Phys. 68 (4), 1259 (1996).CrossRefGoogle Scholar
Zaitsev, V.Y., Richard, P., Delannay, R., Tournat, V., Gusev, V.E., Europhys. Lett. 83, 64003 (2008).CrossRefGoogle Scholar
Kiesgen de Richter, S., Zaitsev, V.Y., Richard, P., Delannay, R., Le Caër, G., Tournat, V., J. Stat. Mech. 11, P11023 (2010).CrossRefGoogle Scholar
Takano, T., Nishimura, T., Nakahara, H., Yusaku, O., Tanaka, S., Geophys. Res. Lett. 41, 6131 (2014).CrossRefGoogle Scholar
Saltykov, V.A., Kugaenko, Y.A., Sinitsyn, V.I., Chebrov, V.N., J. Volcanol. Seismol. 2, 94 (2008).CrossRefGoogle Scholar
Zaitsev, V.Y., Saltykov, V.A., Matveev, L.A., Acoust. Phys. 54, 538 (2008).CrossRefGoogle Scholar
Zaitsev, V.Y., Saltykov, V.A., Matveev, L.A., Izv. Phys. Solid Earth 47, 951 (2011).CrossRefGoogle Scholar
Zaitsev, V.Y., Matveev, L.A., J. Acoust. Soc. Amer. 131, 1 (2012).CrossRefGoogle Scholar
Saltykov, V., Chebrov, V., Kugaenko, Y., Sinitsyn, V., Phys. Chem. Earth, Pts. A/B/C, 31, 132 (2006).CrossRefGoogle Scholar
David, E.C., Zimmerman, R.W., J. Geophys. Res. B Solid Earth 117, B07210 (2012).CrossRefGoogle Scholar
Kachanov, M., Adv. Appl. Mech. 30, 259 (1993).CrossRefGoogle Scholar
Zaitsev, V., Sas, P., Acta Acust. United Acust. 86, 216 (2000).Google Scholar
MacBeth, C., Geophysics 69, 497 (2004).CrossRefGoogle Scholar
Zaitsev, V., Sas, P., Phys. Mesomech. 7, 37 (2004).Google Scholar
Zaitsev, V.Y., Radostin, A.V., Pasternak, E., Dyskin, A., Int. J. Rock Mech. Min. Sci. 97, 122. (2017).CrossRefGoogle Scholar
Zaitsev, V.Y., Radostin, A.V., Pasternak, E., Dyskin, A., Nonlinear Process. Geophys . 24, 543 (2017).CrossRefGoogle Scholar
Zaitsev, V.Y., Matveyev, A.L., Matveev, L.A., Gelikonov, G.V., Baum, O.I., Omelchenko, A.I., Shabanov, D.V., Sovetsky, A.A., Yuzhakov, A.V., Fedorov, A.A., Siplivy, V.I., Bolshunov, A.V., Sobol, E.N., J. Biophotonics e201800250 (2018).CrossRefGoogle Scholar
Kennedy, K.M., Chin, L., McLaughlin, R.A., Latham, B., Saunders, C.M., Sampson, D.D., Kennedy, B.F., Sci. Rep. 5, 15538 (2015).CrossRefGoogle Scholar
Wegner, A., Koka, A., Janser, K., Netzelmann, U., Hirsekorn, S., Arnold, W., Ultrasonics 38, 316 (2000).CrossRefGoogle Scholar
Hirsekorn, S., Koka, A., Wegner, A., Arnold, W., AIP Conf. Proc. 509, 1367 (2000).CrossRefGoogle Scholar
Delsanto, P.P., Hirsekorn, S., Agostini, V., Loparco, R., Koka, A., Ultrasonics 40, 605 (2002).CrossRefGoogle Scholar
Lomonosov, A.M., Hess, P., Phys. Rev. Lett. 89, 095501 (2002).CrossRefGoogle Scholar