Journal of the Korean Society for Nondestructive Testing (비파괴검사학회지)

The Korean Society for Nondestructive Testing (한국비파괴검사학회)
권호 표지

A Numerical Model for Prediction of Residual Stress Using Rayleigh Waves

  • Yuan, Maodan (School of Mechanical Engineering, Sungkyunkwan University) ;
  • Kang, To (School of Mechanical Engineering, Sungkyunkwan University) ;
  • Kim, Hak-Joon (School of Mechanical Engineering, Sungkyunkwan University) ;
  • Song, Sung-Jin (School of Mechanical Engineering, Sungkyunkwan University)
  • Received : 2011.10.04
  • Accepted : 2011.12.08
  • Published : 2011.12.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this work, a numerical model is proposed for the relation between the magnitudes and the depth residual stress with the velocity of Rayleigh wave. Three cases, stress-free, uniform stress and layered stress, are investigated for the change tendency of the Rayleigh wave speed. Using the simulated signal with variation of residual stress magnitude and depth, investigation of the parameters for fitting residual stress and velocity change are performed. The speed change of Rayleigh wave shows a linear relation with the magnitude and an exponential relation with the depth of residual stress. The combination of these two effects could be used for the depth profile evaluation of the residual stress.

Keywords

References

  1. P. J. Withers, M. Turski, L. Edwards, P. J. Bouchard and D. J. Buttled, "Recent advances in residual stress measurement," International Journal of Pressure Vessels and Piping, Vol. 85, pp. 118-127 (2008) https://doi.org/10.1016/j.ijpvp.2007.10.007
  2. P. J. Withers and Bhadeshia, "Residual stress: Part 1-Measurement techniques," Materials Science and Technology, Vol. 17, pp. 355-365 (2001) https://doi.org/10.1179/026708301101509980
  3. Y. H. Pao, W. Sachse and H. Fukuoka, "Acoustoelasticity and ultrasonic measurements of residual stress," Physical Acoustics: Principle and Methods, Academic Press, Vol. 17, pp. 61-143 (1984)
  4. D. S. Hughes and J. L. Kelly, "Second-Order Elastic Deformation of Solids," Physical Review, Vol. 92, pp. 1145-1149 (1953) https://doi.org/10.1103/PhysRev.92.1145
  5. R. H. Bergman and R. A. Shahbender, "Effect of Statically Applied Stresses on the Velocity of Propagation of Ultrasonic Waves," Journal of Applied Physics, Vol. 29, pp. 1736-1738 (1958) https://doi.org/10.1063/1.1723035
  6. M. Hirao, H. Fukuoka and K. Hori, "Acoustoelastic effect of Rayleigh surface wave in isotropic material," Journal of Applied Mechanics, Vol. 48, pp. 119-24 (1981) https://doi.org/10.1115/1.3157553
  7. M. Duquennoy, M. Ouaftouh and M. Ourak, "Ultrasonic evaluation of stresses in orthotropic materials using Rayleigh waves," NDT&E International, Vol. 32, pp. 189-199 (1999) https://doi.org/10.1016/S0963-8695(98)00046-2
  8. K. Graff, "Wave Motion in Elastic Solids", Dover Publications, New York (1978)
  9. R. M. Sanderson and Y. C. Shen. "Measurement of residual stress using laser-generated ultrasound," International Journal of Pressure Vessels and Piping, Vol. 87, pp. 762-765 (2010) https://doi.org/10.1016/j.ijpvp.2010.10.001
  10. S. Mittal and C. R. Liu. "A method of modeling residual stresses in superfinish hard turning," Wear 218, pp. 21-33 (1998) https://doi.org/10.1016/S0043-1648(98)00201-4