Skip to main content
Log in

Numerical simulation of ultrasonic minimum reflection for residual stress evaluation in 2D case

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

A number of interesting phenomena at fluid-solid interfaces can be observed when the incident angle approaches the Rayleigh angle, including Schoch displacement and leaky Rayleigh waves. Besides the experimental and theoretical research on these problems, numerical tools have been more and more widely used for these complex problems. Based on previous experimental and numerical researches, a 2D finite element model has been built to reproduce the Schoch effects. With the same model, the minimum reflection profile is investigated for the feasibility of material characterization, especially for residual stress evaluation. Residual stress is one of the important properties for structures, and its measurement is a popular research topic in nondestructive evaluation. However, it is not possible to put the residual stress into the numerical model directly. According to the relation of residual stress with mechanical properties, the material damping and wave speed have been alternatively adopted in this work. The influence of minimum reflection profile by residual stress has been shown by the change of wave speed and damping factor. Simulation results show that the minimum reflection profile is a potential method for residual stress evaluation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Schoch, Schallreflexion, Schallbrechung und Schallbeugung, Ergebnisse der exakten Naturwissenschaften, Band 23 (1950) 127–234.

    Article  MathSciNet  Google Scholar 

  2. H. L. Bertoni and T. Tamir, Unified theory of rayleigh-angle phenomena for acoustic beams at liquid-solid interface, Applied Physics A, 2(4) (1973) 152–172.

    Google Scholar 

  3. M. A. Breazeale, L. Adler and G. W. Scott, Interaction of ultrasonic waves incident at the Rayleigh angle onto a liquidsolid interface, Journal of Applied Physics, 48 (1977) 530–537.

    Article  Google Scholar 

  4. T. D. K. Ngoc and W. G. Mayer, Numerical integration method for reflected beam profiles near Rayleigh angle, Journal of the Acoustical Society of American, 67(4) (1980) 1149–1152.

    Article  MATH  Google Scholar 

  5. S. Zeroug and L. B. Felsen, Nonspecular reflection of beams from liquid-solid interfaces, Journal of Nondestructive Evaluation, 11 (1992) 263–278.

    Article  Google Scholar 

  6. E. Lamkanfi and N. F. Declercq, Finite element analysis of transmission of leaky Rayleigh waves at the extremity of a fluid-loaded thick plate, Journal of Applied Physics, 101 (2007) 114907.

    Article  Google Scholar 

  7. N. F. Declercq and E. Lamkanfi, Study by means of liquid side acoustic barrier of the influence of leaky Rayleigh waves on bounded beam reflection, Applied physics letters, 93(5) (2008) 054103.

    Article  Google Scholar 

  8. E. Lamkanfi and N. F. Declercq, Numerical study of Rayleigh wave transmission through an acoustic barrier, Journal of Applied Physics, 105(11) (2009) 114902.

    Article  Google Scholar 

  9. F. L. Becker and R. L. Richardson, Ultrasonic critical angle reflectivity, Research Techniques in Nondestructive Testing, 1 (1973) 91–131.

    Google Scholar 

  10. INCONEl ®alloy 718. Special Metals Corporation (2007).

    Google Scholar 

  11. Y. H. Kim, S. J. Song, D. H. Bae and S. D. Kwon, Assessment of material degradation due to corrosion-fatigue using a backscattered Rayleigh surface wave, Ultrasonics, 42(1) (2004) 545–550.

    Article  Google Scholar 

  12. S. J. Song et al. Evaluation of CVD diamond coating layer using leaky Rayleigh wave, Ultrasonics, 44, 1365–1369 (2006).

    Article  Google Scholar 

  13. S. D. Kwon, H. J. Kim and S. J. Song, Quantitative evaluation of CVD diamond coating layer using rayleigh-like waves, Journal of Intelligent Material Systems and Structures, 19(3) (2008) 367–371.

    Article  Google Scholar 

  14. D. Y. Kim, H. J. Kim and S. J. Song, Evaluation of subsurface material properties using minimum reflection profiles method, Modern Physics Letters B, 22(11) (2008) 983–988.

    Article  MATH  Google Scholar 

  15. P. Nagy, Opportunities and challenges for nondestructive residual stress assessment, Review of Progress in QNDE, 25 (2006) 22–40.

    Google Scholar 

  16. A. N. Guz and F. G. Makhort, The physical fundamentals of the ultrasonic nondestructive stress analysis of solids, International Applied Mechanics, 36(9) (2000) 1119–1149.

    Article  Google Scholar 

  17. B. Koehler, M. Barth, F. Schubert, J. Bamberg and H. U. Baron, Characterization of surface treated aero engine alloys by Rayleigh wave velocity dispersion, Review of Progress in QNDE, 29 (2010) 253–260.

    Google Scholar 

  18. Y. H. Pao, W. Sachse and H. Fukuoka, Acoustoelasticity and ultrasonic measurements of residual stress, Physical acoustics, 2(17) (1984) 61–143.

    Google Scholar 

  19. M. S. Misra et al., Damping characteristics of metal matrix composites, Martin Marietta Space Systems Inc Dever Co. (1989).

    Google Scholar 

  20. L. Singh et al., Relationship between damping factor and compressive residual stress for shot peened austenitic stainless steel, ISRN Mechanical Engineering (2011).

    Google Scholar 

  21. COMSOL Multiphysics, Acoustics Module User Guide Version 4.2, User’s Manual (2011).

    Google Scholar 

  22. M. B. Drozdz, Efficient finite element modelling of ultrasonic waves in elastic media, Ph. D of Imperial College London (2008).

    Google Scholar 

  23. Y. Bouzidi and D. R. Schmitt, Quantitative modeling of reflected ultrasonic bounded beams and a new estimate of the schoch shift, IEEE Transactions on Ultrasonics, Ferroelectric, and Frequency control, 55(12) (2008) 2661–2673.

    Article  Google Scholar 

  24. R. E. Green, Ultrasonic investigation of mechanical properties, Treatise on material science and technology, 3 (1973).

  25. R. M. Sanderson and Y. C. Shen, Measurement of residual stress using laser-generated ultrasound, International journal of pressure vessels and piping, 87(12) (2010) 762–765.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sung-Jin Song.

Additional information

Recommended by Editor Yeon June Kang

Sung-Jin Song received his B.S. in Mechanical Engineering from Seoul National University, Seoul, Korea in 1981, his M.S. in Mechanical Engineering from Korea Advanced Institute of Science and Technology in 1983, and his Ph.D. in Engineering Mechanics from Iowa State University, Ames, Iowa, USA in 1991. He worked at Daewoo Heavy Industries, Ltd., Incheon, Korea for 5 years from 1983, where he was certified as ASNT Level III in RT, UT, MT and PT. He worked at Chosun University, Gwangju, Korea as Assistant Professor from 1993. Since 1998 he has been at Sungkyunkwan University, Suwon, Korea and is currently Professor of Mechanical Engineering.

Maodan Yuan is a Ph.D. student in Graduate School of Mechanical Engineering from Sungkyunkwan University, Suwon, Korea. His current research interests include nondestructive evaluation for material characterization, numerical simulation for wave propagation, surface wave propagation and nonlinear ultrasonic testing.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yuan, M., Kang, T., Zhang, J. et al. Numerical simulation of ultrasonic minimum reflection for residual stress evaluation in 2D case. J Mech Sci Technol 27, 3207–3214 (2013). https://doi.org/10.1007/s12206-013-0843-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-013-0843-y

Keywords

Navigation