Measurement of Elastic Constants by Simultaneously Sensing Longitudinal and Shear Waves as an Overlapped Signal



Seo, Hogeon;Song, Dong-Gi;Jhang, Kyung-Young

  • 투고 : 2016.03.18
  • 심사 : 2016.04.15
  • 발행 : 2016.04.30


Measurement of elastic constants is crucial for engineering aspects of predicting the behavior of materials under load as well as structural health monitoring of material degradation. Ultrasonic velocity measurement for material properties has been broadly used as a nondestructive evaluation method for material characterization. In particular, pulse-echo method has been extensively utilized as it is not only simple but also effective when only one side of the inspected objects is accessible. However, the conventional technique in this approach measures longitudinal and shear waves individually to obtain their velocities. This produces a set of two data for each measurement. This paper proposes a simultaneous sensing system of longitudinal waves and shear waves for elastic constant measurement. The proposed system senses both these waves simultaneously as a single overlapped signal, which is then analyzed to calculate both the ultrasonic velocities for obtaining elastic constants. Therefore, this system requires just half the number of data to obtain elastic constants compared to the conventional individual measurement. The results of the proposed simultaneous measurement had smaller standard deviations than those in the individual measurement. These results validate that the proposed approach improves the efficiency and reliability of ultrasonic elastic constant measurement by reducing the complexity of the measurement system, its operating procedures, and the number of data.


Elastic Constants;Overlapped Signal;Ultrasonic Pulse-Echo Method;Ultrasonic Velocity


  1. R. B. Mignogna, N. K. Batra and K. E. Simmonds, "Determination of elastic constants of anisotropic materials from oblique angle ultrasonic wave measurement II: Experimental," Review of Progress in Quantitative Nondestructive Evaluation, pp. 1677-1684 (1991)
  2. C. S. Kim and I. K. Park "Review of micro/nano nondestructive evaluation technique (II): Measurement of acoustic properties," Journal of the Korean Society for Nondestructive Testing, Vol. 32, No. 4, pp. 418-430 (2012)
  3. C. Gondard, M. H. Nadal and C. Hermerel, "Three ultrasonic devices for the elastic moduli determination at high temperatures," Review of Progress in Quantitative Nondestructive Evaluation, pp. 867-874 (1998)
  4. R. Murayama, M. Kobayashi and C. K. Jen, "Study of material evaluation probe using a longitudinal wave and a transverse wave," Journal of Sensor Technology, Vol. 3(2), pp. 1-5 (2013)
  5. S. H. Park, C. B. Yun and D. J Inman, "Remote impedance-based loose bolt inspection using a radio-frequency active sensing node," Journal of the Korean Society for Nondestructive Testing, Vol. 27(3), pp. 217-223 (2007)
  6. B. Culshaw, B. Sorazu, S. G. Pierce, C. Mckee and G. Thursby, "Laser ultrasound for the non contact characterisation of the mechanical properties of materials," 1st International Symposium on Laser Ultrasonics Science, Technology and Applications, pp. 16-18 (2008)
  7. F. Augereau, D. Laux, L. Allais, M. Mottot and C. Caes, "Ultrasonic measurement of anisotropy and temperature dependence of elastic parameters by a dry coupling method applied to a 6061-T6 alloy," Ultrasonics, Vol. 46(1), pp. 34-41 (2007)
  8. K. C. Kim, H. Yamawaki, J. W. Park, H. S. Jang, H. J. Kim, W. H. Hwang and K. Y. Jhang, "Research on the nondestructive measurement of nonlinear elastic modulus by using ultrasonic wave," JSME International Journal Series A, Vol. 44(3), pp. 383-389 (2001)
  9. D. Y. Li and J. A. Szpunar, "Determination of single crystals' elastic constants from the measurement of ultrasonic velocity in the polycrystalline material," Acta Metallurgica et Materialia, Vol. 40(12), pp. 3277-3283 (1992)
  10. Z. Qu and Y. Ono, "An ultrasonic probe and technique for measuring longitudinal and shear properties of viscous liquids," Ultrasonics Symposium (IUS), IEEE International, pp. 1669-1672 (2011)
  11. R. Aoyagi and K. Umezu, "Comparison of ultrasonic-hardness-tester hardness and micro-vickers hardness," Japanese Journal of Applied Physics, Vol. 46(7S), pp. 4558 (2007)
  12. N. Y. Kim and C. K. Lee, "Simultaneous measurement of longitudinal and transverse waves velocities employing spherically focused acoustic transducer," Key Engineering Materials, Vol. 321, pp. 574-577 (2006)
  13. K. Kawashima, "Quantitative calculation and measurement of longitudinal and transverse ultrasonic wave pulses in solid," IEEE Transactions on Sonics and Ultrasonics, Vol. 31(2), pp. 83-94 (1984)
  14. H. Seo, K. Lee and K. Y. Jhang, "In-line ultrasonic monitoring for sediments stuck on inner wall of a polyvinyl chloride pipe," The Scientific World Journal, Vol. 2014, pp. 1-8 (2014)
  15. R. S. Edwards, R. Perry, D. Cleanthous, D. J. Backhouse, I. J. Moore, A. R. Clough and D. Stone, "Measuring elastic constants using non-contact ultrasonic techniques," International Congress on Ultrasonics, pp. 5-8 (2011)
  16. M. Ohtsu, "Damage evaluation in freezing and thawing test of concrete by elasticwave methods," Materials and Structures, Vol. 44(10), pp. 1725-1734 (2011)
  17. B. Weiler and C. U. Grosse, "Elastic constants - Their dynamic measurement and calculation," Otto-Graf-Journal, pp. 116-131 (1995)
  18. G. V. S. Murthy, S. Ghosh, M. Das, G. Das and R. N. Ghosh, "Correlation between ultrasonic velocity and indentation-based mechanical properties with microstructure in Nimonic 263," Materials Science and Engineering: A, Vol. 488(1), pp. 398-405 (2008)
  19. J. P. Kim, C. S. Seok, S. J. Song, Y. H. Kim, "A study on the evaluation of material degradation for 1Cr-1Mo-0.25V steel using linear and nonlinear ultrasonics," Journal of the Korean Society for Nondestructive Testing, Vol. 21(5), pp. 549-555 (2001)
  20. T. Ono, C. K. Jen and M. Kobayashi, "High temperature integrated ultrasonic shear and longitudinal wave probes," Review of Scientific Instruments, Vol. 78(2), pp. 1-5, (2007)
  21. J. R. Neighbours and G. E. Schacher, "Determination of elastic constants from sound-velocity measurement in crystals of general symmetry," Journal of Applied Physics, Vol. 38(13), pp. 5366-5375 (1967)
  22. J. M. Rouvaen, A. Menhaj-Rivenq, P. Logette, P. Goutin and F. Haine, "Simultaneous generation of longitudinal and shear bulk ultrasonic waves in solids," Journal of Physics D: Applied Physics, Vol. 33(11), pp. 1287-1297 (2000)


연구 과제 주관 기관 : National Research Foundation of Korea (NRF)