Abstract
A multi-frequency nonlinear ultrasonic measurement is used to characterize grain size variations and distributions unambiguously. The ultrasonic nonlinearity parameter varies linearly with grain size in the Rayleigh scattering regime but deviates from linear behavior at the Rayleigh-to-stochastic transition zone. Frequency dependence of this parameter is found to be a reliable tool for rapid screening of materials where grain size varies widely.
References
X. Yuan, L. Chen, Y. Zhao, H. Di, and F. Zhu: Procedia Eng., 2014, vol. 81, pp. 143–8.
Z. Keran, M. Mihaljević, B. Runje, and D. Markučič: Arch. Civ. Mech. Eng., 2017, vol. 17, pp. 375–81.
M. Vasudevan and P. Palanichamy: J. Mater. Eng. Perform., 2002, vol. 11, pp. 169–79.
P. Palanichamy, A. Joseph, T. Jayakumar, and B. Raj: NDT E Int., 1995, vol. 28, pp. 179–85.
H. Du and J.A. Turner: Ultrasonics, 2014, vol. 54, pp. 882–7.
T. Wan, T. Naoe, T. Wakui, M. Futakawa, H. Obayashi, and T. Sasa: Materials (Basel)., 2017, vol. 10, 753.
X. Li, X. Han, A.P. Arguelles, Y. Song, and H. Hu: Ultrasonics, 2017, vol. 78, pp. 23–9.
A. Kumar, K. Laha, T. Jayakumar, K.B.S. Rao, and B. Raj: Metall. Mater. Trans. A, 2002, vol. 33, pp. 1617–26.
L. Yang, O.I. Lobkis, and S.I. Rokhlin: Ultrasonics, 2011, vol. 51, pp. 697–708.
E.P. Papadakis: J. Acoust. Soc. Am., 1965, vol. 37, p. 711–7.
F. Dong, X. Wang, Q. Yang, H. Liu, D. Xu, Y. Sun, Y. Zhang, R. Xue, and S. Krishnaswamy: Scr. Mater., 2018, vol. 154, pp. 40–4.
P.B. Nagy: Ultrasonics, 1998, vol. 36, pp. 375–81.
L. Bjørnø: Ultrasonics, 2002, vol. 40, pp. 11–7.
K.H. Matlack, J.-Y. Kim, L.J. Jacobs, and J. Qu: J. Nondestruct. Eval., 2015, vol. 34, 273.
W.T. Read and W. Shockley: Phys. Rev., 1950, vol. 78, pp. 275–89.
A. Hikata and C. Elbaum: Phys. Rev., 1966, vol. 144, pp. 469–77.
X. Gao and J. Qu: J. Appl. Phys., 2018, vol. 124, 125102.
A. Hikata, B.B. Chick, and C. Elbaum: Appl. Phys. Lett., 1963, vol. 3, pp. 195–7.
W.D. Cash and W. Cai: J. Appl. Phys., 2012, vol. 111, 074906.
S.T. Abraham, S.K. Albert, C.R. Das, N. Parvathavarthini, B. Venkatraman, R.S. Mini, and K. Balasubramaniam: Acta Metall. Sin. English Lett., 2013, vol. 26, pp. 545–52.
R.S. Mini, K. Balasubramaniam, and P. Ravindran: Exp. Mech., 2015, vol. 55, pp. 1023–30.
E.P. Papadakis: J. Appl. Phys., 1963, vol. 34, pp. 265–9.
H. Jeong, D. Barnard, S. Cho, S. Zhang, and X. Li: Ultrasonics, 2017, vol. 81, pp. 147–57.
W. Li, B. Chen, X. Qing, Y. Cho, W. Li, B. Chen, X. Qing, and Y. Cho: Metals (Basel)., 2019, vol. 9, 271.
S. Zhang, H. Jeong, S. Cho, and X. Li: AIP Adv., 2015, vol. 5, 077133.
C. Núñez and S. Domingo: Metall. Trans. A, 1988, vol. 19, pp. 2937–44.
Kundu: Ultrasonic Nondestructive Evaluation : Engineering and Biological Material Characterization. CRC Press, Boca Raton, 2004.
E.P. Papadakis: J. Acoust. Soc. Am., 1964, vol. 36, p. 1019.
E.P. Papadakis: Int. Met. Rev., 1984, vol. 29, pp. 1–24.
F.E. Stanke and G.S. Kino: J. Acoust. Soc. Am., 1984, vol. 75, p. 665–81.
F. Zeng, S.R. Agnew, B. Raeisinia, and G.R. Myneni: J. Nondestruct. Eval., 2010, vol. 29, pp. 93–103.
X. Bai, Y. Zhao, J. Ma, Y. Liu, and Q. Wang: Materials (Basel)., 2018, vol. 12, 102.
A.P. Arguelles and J.A. Turner: J. Acoust. Soc. Am., 2017, vol. 141, pp. 4347–53.
E.P. Papadakis: J. Appl. Phys., 1964, vol. 35, pp. 1586–94.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Manuscript submitted June 25, 2019.
Rights and permissions
About this article
Cite this article
Abraham, S.T., Shivaprasad, S., Sreevidya, N. et al. A Novel Multi-frequency Nonlinear Ultrasonic Approach for the Characterization of Annealed Polycrystalline Microstructure. Metall Mater Trans A 50, 5567–5573 (2019). https://doi.org/10.1007/s11661-019-05478-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11661-019-05478-5