Abstract
The dynamic acousto-elasticity (DAE) technique uniquely provides the elastic (speed of sound and attenuation) behavior over a dynamic strain cycle. This technique has been applied successfully to highly nonlinear materials such as rock samples, where nonlinear elastic sources are present throughout the material. DAE has shown different nonlinear elastic behavior in tension and compression as well as early-time memory effects (i.e. fast and slow dynamics) that cannot be observed with conventional dynamic techniques (e.g. resonance or wave mixing measurements). The main objective of the present study is to evaluate if the DAE technique is also sensitive to (1) fatigue damage and (2) a localized stress corrosion crack. A secondary objective is to adapt the DAE experimental setup to perform measurements in smaller specimens (thickness of few cm). Several samples (intact aluminium, fatigued aluminium and steel with a stress corrosion crack) were investigated. Using signal processing not normally applied to DAE, we are able to measure the nonlinear elastic response of intact aluminium, distinguish the intact from the fatigued aluminium sample and localize different nonlinear features in the stress corrosion cracked steel sample.
Similar content being viewed by others
References
Zheng, Y.P., Maev, R.G., Solodov, I.Y.: Nonlinear acoustic applications for material characterization: a review. Can. J. Phys. 77, 927–967 (1999)
Ostrovsky, L.A., Johnson, P.A.: Dynamic nonlinear elasticity in geomaterials. Riv. Del Nuovo Cimento. 24, 1–46 (2001)
Jhang, K.Y.: Nonlinear ultrasonic techniques for nondestructive assessment of micro damage in material: a review. Int. J. Precis. Eng. Manuf. 10, 123–135 (2009)
Rudenko, O.V.: Giant nonlinearities in structurally inhomogeneous media and the fundamentals of nonlinear acoustic diagnostic techniques. Phys.-Usp. 49, 69 (2006)
Guyer, R.A., Johnson, P.A.: Nonlinear Mesoscopic Elasticity: The Complex Behaviour of Rocks, Soil, Concrete. Wiley, New York (2009)
Van den Abeele, K., Johnson, P.A., Sutin, A.: Nonlinear elastic wave spectroscopy (NEWS) techniques to discern material damage, part I: nonlinear wave modulation spectroscopy (NWMS). Res. Nondestruct. Eval. 12, 17–30 (2000)
Landau, L., Lifshitz, E.: Theory of Elasticity. Pergammon, Oxford (1986)
Buck, O., Morris, W.L.: Acoustic harmonic-generation at unbonded interfaces and fatigue cracks. J. Acoust. Soc. Am. 64, S33–S33 (1978)
Buck, O., Morris, W.L., Inman, R.V.: Acoustic harmonic-generation due to fatigue damage in high-strength aluminum. J. Metals 31, F5 (1979)
Cantrell, J., Yost, W.: Nonlinear ultrasonic characterization of fatigue microstructures. Int. J. Fatigue 23, 487–490 (2001)
Frouin, J., Sathish, S., Matikas, T.E., Na, J.K.: Ultrasonic linear and nonlinear behavior of fatigued Ti–6Al–4V. J. Mater. Res. 14, 1295–1298 (1999)
Kim, J.Y., Jacobs, L.J., Qu, J., Littles, J.W.: Experimental characterization of fatigue damage in a nickel-base superalloy using nonlinear ultrasonic waves. J. Acoust. Soc. Am. 120, 1266 (2006)
Solodov, I., Wackerl, J., Pfleiderer, K., Busse, G.: Nonlinear self-modulation and subharmonic acoustic spectroscopy for damage detection and location. Appl. Phys. Lett. 84, 5386 (2004)
Ohara, Y., Mihara, T., Sasaki, R., Ogata, T., Yamamoto, S., Kishimoto, Y., Yamanaka, K.: Imaging of closed cracks using nonlinear response of elastic waves at subharmonic frequency. Appl. Phys. Lett. 90, 011902 (2007)
Donskoy, D., Sutin, A., Ekimov, A.: Nonlinear acoustic interaction on contact interfaces and its use for nondestructive testing. NDT & E Int. 34, 231–238 (2001)
Van den Abeele, K., Carmeliet, J., Ten Cate, J.A., Johnson, P.A.: Nonlinear elastic wave spectroscopy (NEWS) techniques to discern material damage, part II: single-mode nonlinear resonance acoustic spectroscopy. Res. Nondestruct. Eval. 12, 31–42 (2000)
Nazarov, V.E., Ostrovsky, L.A., Soustova, I.A., Sutin, A.M.: Nonlinear acoustics of micro-inhomogeneous media. Phys. Earth. Planet. Inter. 50, 65–73 (1988)
Guyer, R.A., Johnson, P.A.: Nonlinear mesoscopic elasticity: evidence for a new class of materials. Phys. Today 52, 30–36 (1999)
Johnson, P.A.: The new wave in acoustic testing. Mater. World 7, 544–546 (1999)
Van den Abeele, K., De Visscher, J.: Damage assessment in reinforced concrete using spectral and temporal nonlinear vibration techniques. Cem. Conc. Res. 30, 1453–1464 (2000)
Bentahar, M., El Aqra, H., El Guerjouma, R., Griffa, M., Scalerandi, M.: Hysteretic elasticity in damaged concrete: quantitative analysis of slow and fast dynamics. Phys. Rev. B 73(1), 014116 (2006)
Zardan, J.P., Payan, C., Garnier, V., Salin, J.: Effect of the presence and size of a localized nonlinear source in concrete. J. Acoust. Soc. Am. 128(1), EL38–42 (2010)
Payan, C., Garnier, V., Moysan, J., Johnson, P.A.: Applying nonlinear resonant ultrasound spectroscopy to improving thermal damage assessment in concrete. J. Acoust. Soc. Am. 121, EL125–130 (2007)
Bouchaala, F., Payan, C., Garnier, V., Balayssac, J.P.: Carbonation assessment in concrete by nonlinear ultrasound. Cem. Concr. Res. 41, 557–559 (2011)
Antonaci, P., Bruno, C., Bocca, P., Scalerandi, M., Gliozzi, A.: Nonlinear ultrasonic evaluation of load effects on discontinuities in concrete. Cem. Concr. Res. 40, 340–346 (2010)
Zagrai, A., Donskoy, D., Chudnovsky, A., Golovin, E.: Micro-and macroscale damage detection using the nonlinear acoustic vibro-modulation technique. Res. Nondestruct. Eval. 19, 104–128 (2008)
Courtney, C., Drinkwater, B., Neild, S., Wilcox, P.: Factors affecting the ultrasonic intermodulation crack detection technique using bispectral analysis. NDT & E Int. 41, 223–234 (2008)
Van den Abeele, K., Van de Velde, K., Carmeliet, J.: Inferring the degradation of pultruded composites from dynamic nonlinear resonance measurements. Polym. Compos. 22, 555–567 (2001)
Bentahar, M., El Guerjouma, R.: Monitoring progressive damage in polymer-based composite using nonlinear dynamics and acoustic emission. J. Acoust. Soc. Am. 125, EL39 (2009)
Van den Abeele, K., Le Bas, P., Van Damme, B., Katkowski, T.: Quantification of material nonlinearity in relation to microdamage density using nonlinear reverberation spectroscopy: Experimental and theoretical study. J. Acoust. Soc. Am. 126, 963 (2009)
Van Damme, B., Van Den Abeele, K., Bou Matar, O.: The vibration dipole: a time reversed acoustics scheme for the experimental localisation of surface breaking cracks. Appl. Phys. Lett. 100, 084103 (2012)
Muller, M., Mitton, D., Talmant, M., Johnson, P., Laugier, P.: Nonlinear ultrasound can detect accumulated damage in human bone. J. Biomech. 41, 1062–1068 (2008)
Rivière, J., Haupert, S., Laugier, P., Ulrich, T., Le Bas, P.Y., Johnson, P.A.: Time reversed elastic nonlinearity diagnostic applied to mock osseointegration monitoring applying two experimental models. J. Acoust. Soc. Am. 131, 1922–1927 (2012)
Nazarov, V.E.: Nonlinear damping of sound by sound in metals. Sov. Phys. Acoust.-Ussr. 37, 616–619 (1991)
Nazarov, V.E., Kolpakov, A.B., Radostin, A.V.: Amplitude dependent internal friction and generation of harmonics in granite resonator. Acoust. Phys. 55, 100–107 (2009)
Zaitsev, V., Gusev, V., Castagnede, B.: Luxemburg-Gorky effect retooled for elastic waves: a mechanism and experimental evidence. Phys. Rev. Lett. 89, 105502 (2002)
Westervelt, P.J.: Scattering of sound by sound. J. Acoust. Soc. Am. 29, 199–203 (1957)
Renaud, G., Talmant, M., Callé, S., Defontaine, M., Laugier, P.: Nonlinear elastodynamics in micro-inhomogeneous solids observed by head wave based dynamic acoustoelastic testing. J. Acoust. Soc. Am. 130(6), 3583–3589 (2011)
Renaud, G., Riviere, J., Haupert, S., Laugier, P.: Anisotropy of dynamic acoustoelasticity in limestone, influence of conditioning, and comparison with nonlinear resonance spectroscopy. J. Acoust. Soc. Am. 133, 3706–3718 (2013)
Rivière, J., Renaud, G., Guyer, R.A., Johnson, P.A.: Pump and probe waves in dynamic acousto-elasticity: comprehensive description and comparison with nonlinear elastic theories. J. Appl. Phys. 114, 054905 (2013)
Renaud, G., Callé, S., Defontaine, M.: Remote dynamic acoustoelastic testing: elastic and dissipative acoustic nonlinearities measured under hydrostatic tension and compression. Appl. Phys. Lett. 94, 011905 (2009)
Hamilton, M.F., Blackstock, D.T.: Nonlinear acoustics. Academic Press, San Diego (1998)
Winkler, K.W., Liu, X.: Measurements of third-order elastic constants in rocks. J. Acoust. Soc. Am. 100, 1392 (1996)
Renaud, G., Calle, S., Remenieras, J.P., Defontaine, M.: Non-linear acoustic measurements to assess crack density in trabecular bone. Int. J. Non-Linear Mech. 43, 194–200 (2008)
Moreschi, H., Calle, S., Guerard, S., Mitton, D., Renaud, G., Defontaine, M.: Monitoring of trabecular bone induced microdamage using a nonlinear wave-coupling technique. In: Ultrasonic Symposium(IUS), IEEE International, IEEE, 550–553 (2009)
Renaud, G., Calle, S., Remenieras, J.P., Defontaine, M.: Exploration of trabecular bone nonlinear elasticity using time-of-flight modulation. IEEE Trans. Ultrason. Ferroelectri. Freq. Control. 55, 1497–1507 (2008)
Moreschi, H., Callé, S., Guerard, S., Mitton, D., Renaud, G., Defontaine, M.: Monitoring trabecular bone microdamage using a dynamic acousto-elastic testing method. Proc. Insti. Mech. Eng. H 225, 1–12 (2011)
Renaud, G., Le Bas, P.-Y., Johnson, P.A.: Revealing highly complex elastic nonlinear (anelastic) behavior of Earth materials applying a new probe: dynamic acoustoelastic testing. J. Geophys. Res. 117(B6), 1–17 (2012)
Elements of Metallurgy and Engineering Alloys. ASM International, Materials Park (2008)
Ohara, Y., Endo, H., Mihara, T., Yamanaka, K.: Ultrasonic measurement of closed stress corrosion crack depth using subharmonic phased array. Jpn. J. Appl. Phys. 48, 07GD01 (2009)
Haupert, S., Renaud, G., Riviere, J., Talmant, M., Johnson, P.A., Laugier, P.: High-accuracy acoustic detection of nonclassical component of material nonlinearity. J. Acoust. Soc. Am. 130, 2654–2661 (2011)
Tencate, J.A.: Slow dynamics of earth materials: an experimental overview. Pure and Appl. Geophys. 168(12), 2211–2219 (2011)
TenCate, J.A., Smith, E., Guyer, R.A.: Universal slow dynamics in granular solids. Phys. Rev. Lett. 85, 1020–1023 (2000)
Johnson, P., Sutin, A.: Slow dynamics and anomalous nonlinear fast dynamics in diverse solids. J. Acoust. Soc. Am. 117, 124–130 (2005)
Cespedes, I., Huang, Y., Ophir, J., Spratt, S.: Methods for estimation of subsample time delays of digitized echo signals. Ultrason. Imaging 17, 142–171 (1995)
Van den Abeele, K., Sutin, A., Carmeliet, J., Johnson, P.A.: Micro-damage diagnostics using nonlinear elastic wave spectroscopy (NEWS). NDT & E Int. 34, 239–248 (2001)
Cantrell, J.H., Yost, W.T.: Acoustic harmonic generation from fatigue-induced dislocation dipoles. Philos. Mag. A 69, 315–326 (1994)
Ulrich, T.J., Van Den Abeele, K., Le Bas, P.-Y., Griffa, M., Anderson, B.E., Guyer, R.A.: Three component time reversal: focusing vector components using a scalar source. J. Appl. Phys. 106, 113504 (2009)
Sarma, V.P.N., Reddy, P.J.: Third-order elastic constants of aluminium. Physica Status Solidi (a). 10, 563–567 (1972)
Hikata, A., Chick, B.B., Elbaum, C.: Dislocation contribution to the second harmonic generation of ultrasonic waves. J. Appl. Phys. 36, 229–236 (1965)
VandenAbeele, K.E.A., Johnson, P.A., Guyer, R.A., McCall, K.R.: On the quasi-analytic treatment of hysteretic nonlinear response in elastic wave propagation. J. Acoust. Soc. Am. 101, 1885–1898 (1997)
Trarieux, C., Callé, S., Poulin, A., Tranchant, J.-F., Moreschi, H., Defontaine, M.: Measurement of nonlinear viscoelastic properties of fluids using dynamic acoustoelastic testing. In: IOP Conference Series: Mater. Sci. Eng. 42, 012026. (2012)
Trarieux, C., Calle, S., Moreschi, H., Poulin, A., Tranchant, J.F., Defontaine, M.: An analytical model to describe nonlinear viscoelastic properties of fluids measured by dynamic acoustoelastic testing. In: Ultrasonic Symposium(IUS), IEEE, 1–4 (2012)
Acknowledgments
This work was supported in part by the U.S. Dept. of Energy, Nuclear Energy Fuel Cycle Research and Development program under the Used Fuel Disposition campaign as part of the storage demonstration and experimentation efforts and by Institutional Support (LDRD) at Los Alamos.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Haupert, S., Rivière, J., Anderson, B. et al. Optimized Dynamic Acousto-elasticity Applied to Fatigue Damage and Stress Corrosion Cracking. J Nondestruct Eval 33, 226–238 (2014). https://doi.org/10.1007/s10921-014-0231-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10921-014-0231-2