Abstract
The acoustoelastic theory states that mechanical stress relates to the wave speed. The microstructure of the materials influences the propagation of any ultrasonic wave, which is a major drawback in employing critically refracted longitudinal waves (L\(_\mathrm{CR}\)) in field measurements. The present study investigates the effect of mean austenitic grain size (MAGS) on propagation speed of L\(_\mathrm{CR}\) waves in ASTM A36 low carbon hot-rolled steel plates subjected to different heat treatment temperatures. The samples were heated at 900, 1000, 1050, 1100, 1200 \(^{\circ }\)C for 30 min to obtain different grain sizes. They were measured as received and after the heat treatment, employing the ultrasonic method. The MAGS were compared to the grain size obtained from optical microscopy. The results confirmed the influence of the MAGS on the L\(_\mathrm{CR}\) speed, which can be represented by a second order polynomial curve. From the experimental results, we show that it is necessary to correct the effect of the MAGS on the L\(_\mathrm{CR}\) speed; otherwise we cannot measure the stresses without previous calibration using a stress reference.
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Palanichamy, P., Joseph, A., Jayakumar, T., Raj, B.: Ultrasonic velocity measurements for estimation of grain size in austenitic stainless steel. NDT & E Int. 28(3), 179–185 (1995)
Ahn, B., Lee, S.S., Hong, S.T., Kim, H.C., Kang, S.-J.L.: Application of the acoustic resonance method to evaluate the grain size of low carbon steels. NDT & E Int. 32, 85–89 (1999)
Ahn, B., Lee, S.S.: Effect of microstructure of low carbon steels on ultrasonic attenuation. IEEE Trans. Ultrson. Ferroelectr. Freq. Control 47(3), 620–629 (2000)
Bouda, A.B., Lebaili, S., Benchaala, A.: Grain size influence on ultrasonic velocities and attenuation. NDT & E Int. 36, 1–5 (2003)
Sarpün, I.H., Kiliçkaya, M.S., Tuncel, S.: Mean grain size determination in marbles by ultrasonic velocity techniques. NDT & E Int. 38(1), 21–25 (2005)
Ünal, R., Sarpün, I.H., Yalim, H.A., Erol, A., Özdemir, T., Tuncel, S.: The mean grain size determination of Boron carbide (B4C)–Aluminium (Al) and Boron carbide (B4C)–Nickel (Ni) composites by ultrasonic velocity technique. Mater. Character. 56(3), 241–244 (2006)
Sarpün, I.H.; Özkan, V.; Tuncel, S.; Ünal, R.: Determination of mean grain size by ultrasonic methods of tungsten carbide metal matrix composites sintered at various temperatures. 4th Int Conf on NDT, Chania, Crete-Greece, pp. 1–5 (2007)
Mutlu, I., Oktay, E., Ekinci, S.: Effect of grain size on the ultrasonic parameters in stainless steels. Int. J. Microstruct. Mater. Prop. 4(4), 423–435 (2009)
Aghaie-Khafri, M., Honarvar, F., Zanganeh, S.: Characterization of grain size and yield strength in AISI 301 stainless steel using ultrasonic attenuation measurements. J. Nondestruct. Eval. 31, 191–196 (2012)
Özkan, V., Sarpün, I.H.: Examining with the sintered temperature of mean grain size of B4C–Al–Ni composites by ultrasonic techniques. Proc. Int. Conf. Adv. Appl. Phys. Mater. Sci. 121, 184–186 (2012)
Buenos, A.A.: Effect of Mean grain size in the time of flight for L\(_{\text{ CR }}\) Waves. Proc ASME 2012 Int Mech Eng Cong and Exp IMECE 2012, pp. 1–7 (2012)
Bray, D.E., Tang, W.: Subsurface stress evaluation in steel plates and bars using the L\(_{\text{ CR }}\) ultrasonic wave. Nucl. Eng. Des. 207, 231–240 (2001)
Qozan, H., Chaki, S., Bourse, G., Robin, C., Walaszek, H., Bouteille, P.: Microstructure effect on the Lcr elastic wave for welding residual stress measurement. Exp. Mech. 50, 179–185 (2010)
Javadi, Y., Afzali, O., Raeisi, M.H., Najafabadi, M.A.: Nondestructive evaluation of welding residual stresses in dissimilar welded pipes. J. Nondestruct. Eval. 32, 177–187 (2013)
Hughes, D.S., Kelly, J.L.: Second-order elastic deformation of solids. Phys. Rev. 92(4), 1145–1149 (1953)
Bray, D.E., Stanley, R.K.: Nondestructive evaluation: A Tool in Design, Manufacturing, and Service, Rev edn. CRC Press, Boca Raton (1997)
Rose, J.L.: Ultrasonic Waves in Solid Media. Cambridge University Press, New York (1999)
Buenos, A.A., Santos Jr, A.A., Rodrigues, A.R., Tokimatsu, R.C.: Application of acoustoelasticity to measure the stress generated by milling in ASTM A36 steel plates. J. Braz. Soc. Mech. Sci. Eng. 35(4), 525–536 (2013)
Fraga, R.S.; Santos, A.A.; Andrino, M.H.: Temperature effect on the measurement of stresses in pipelines using ultrasonic Lcr waves. Proc ASME 2008 Int Mech Eng Cong and Exp IMECE, pp. 361–367 (2008)
Santos, A.A., Bray, D.E.: Comparison of acoustoelastic methods to evaluate stresses in steel plates and bars. J. Press. Vessel Technol. 124(3), 354–358 (2002)
Silva, A.L.V.C., Mei, P.R.: Aços e Ligas Especiais, pp. 83–146. Edgard Blücher, São Paulo (2010)
American Society for Testing and Materials: Standard test methods for determining average grain Size. ASTM International pp. E112–12 (2012)
Acknowledgments
The authors are grateful to the School Mechanical Engineering (FEM) of the University of Campinas (UNICAMP). The authors also thank the National Council for Scientific and Technological Development (CNPq) for the financial support.
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Buenos, A.A., Pereira, P., Mei, P.R. et al. Influence of Grain Size on the Propagation of L\(_\mathrm{CR}\) Waves in Low Carbon Steel. J Nondestruct Eval 33, 562–570 (2014). https://doi.org/10.1007/s10921-014-0252-x
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DOI: https://doi.org/10.1007/s10921-014-0252-x