Experimental Mechanics

, Volume 44, Issue 2, pp 176–184 | Cite as

Laser surface-contouring and spline data-smoothing for residual stress measurement

  • M. B. Prime
  • R. J. Sebring
  • J. M. Edwards
  • D. J. Hughes
  • P. J. Webster


We describe non-contact scanning with a confocal laser probe to measure surface contours for application to residual stress measurement. (In the recently introduced contour method, a part is cut in two with a flat cut, and the part deforms by relaxation of the residual stresses. A cross-sectional map of residual stresses is then determined from measurement of the contours of the cut surfaces.) The contour method using laser scanning is validated by comparing measurements on a ferritic steel (BS 4360 grade 50D) weldment with neutron diffraction measurements on an identical specimen. Compared to lower resolution touch probe techniques, laser surface-contouring allows more accurate measurement of residual stresses and/or measurement of smaller parts or parts with lower stress levels. Furthermore, to take full advantage of improved spatial resolution of the laser measurements, a method to smooth the surface contour data using bivariate splines is developed. In contrast to previous methods, the spline method objectively selects the amount of smoothing and estimates the uncertainties in the calculated residual stress map.

Key Words

Residual stresses contour method coordinate measuring machine wire EDM TIG weld model error 


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  1. 1.
    Prime, M.B., “Cross-sectional Mapping of Residual Stresses by Measuring the Surface Contour After a Cut,”Journal of Engineering Materials and Technology,123 (2),162–168 (2001).CrossRefGoogle Scholar
  2. 2.
    Prime, M.B., U.S. Patent 6,470,756 (2002).Google Scholar
  3. 3.
    Withers, P.J. andBhadeshia, H.K.D.H., “Overview—Residual Stress Part 1—Measurement Techniques,”Materials Science and Technology,17 (4),355–365 (2001).CrossRefGoogle Scholar
  4. 4.
    Smith, D.J., Bouchard, P.J., andGeorge, D., “Measurement and Prediction of Residual Stresses in Thick-section Steel Welds,”Journal of Strain Analysis for Engineering Design,35 (4),287–305 (2000).CrossRefGoogle Scholar
  5. 5.
    Virkkunen, I., “Thermal Fatigue of Austenitic and Duplex Stainless Steels,” Doctoral Dissertation at Helsinki University of Technology (2001).Google Scholar
  6. 6.
    Zhang, Y., Fitzpatrick, M.E., andEdwards, L., “Measurement of the Residual Stresses around a Cold Expanded Hole in an EN8 Steel Plate Using the Contour Method,”Materials Science Forum,404–407,527–532 (2002).Google Scholar
  7. 7.
    Prime, M.B. andMartineau, R.L., “Mapping Residual Stresses After Foreign Object Damage Using The Contour Method,”Materials Science Forum,404–407,521–526 (2002).Google Scholar
  8. 8.
    Kaplan, H., “Laser Gauging Enters a Submicron World,”Photonics Spectra,31 (6),67–68 (1997).Google Scholar
  9. 9.
    Zhao, Z.B., Hershberger, J., Yalisove, S.M., andBilello, J.C., “Determination of Residual Stress in Thin Films: A Comparative Study of X-Ray Topography Versus Laser Curvature Method,”Thin Solid Films,415 (1–2),21–31 (2002).CrossRefGoogle Scholar
  10. 10.
    Nelson, D.V. andMcCrickerd, J.T., “Residual Stress Determination Through Combined Use of Holographic-interferometry and Blind-hole Drilling,” EXPERIMENTAL MECHANICS26 (4),371–378 (1986).CrossRefGoogle Scholar
  11. 11.
    Wang B.S., Chiang, F.P., andWu, S.Y., “Whole-field Residual Stress Measurement in Rail Using Moire Interferometry and Twyman/Green Interferometry Via Thermal Annealing,” EXPERIMENTAL MECHANICS,39 (1),71–76 (1999).CrossRefGoogle Scholar
  12. 12.
    Pechersky, M.J., Miller, R.F., andVikram, C.S., “Residual Stress Measurements with Laser Speckle Correlation Interferometry and Local Heat-Treating,”Optical Engineering,34 (10),2964–2971 (1995).CrossRefGoogle Scholar
  13. 13.
    Buitrago, J. andDurelli, A.J., “Interpretation of Shadow-moire Fringes,” EXPERIMENTAL MECHANICS,18, (6),221–226 (1978).CrossRefGoogle Scholar
  14. 14.
    Pirodda, L., “Shadow and Projection Moire Techniques for Absolute or Relative Mapping of Surface Shapes,”Optical Engineering,21 (4),640–649 (1982).Google Scholar
  15. 15.
    Hughes, D.J., Webster, P.J., andMills, G., “Ferritic Steel Welds—A Neutron Diffraction Standard,”Materials Science Forum,404–407,561–566 (2002).Google Scholar
  16. 16.
    Webster, P.J., “The Neutron Strain Scanner,”Kerntechnik,56,178–182 (1990).Google Scholar
  17. 17.
    Benedict, G.F., Nontraditional Manufacturing Processes, Marcel Dekker, New York (1987).Google Scholar
  18. 18.
    Cheng, W., Finnie, I., Gremaud, M., andPrime, M.B., “Measurement of Near Surface Residual Stresses Using Electric Discharge Wire Machining,”Journal of Engineering Materials and Technology,116 (1),1–7 (1994).Google Scholar
  19. 19.
    Sebring, R., Anderson, W., Bartos, J., Garcia, F., Randolph, B., Salazar, M., and Edwards, J. “Non-contact Optical Three Dimensional Liner Metrology,” Proceedings of the 28th IEEE International Conference on Plasma Science and The 13th IEEE International Pulsed Power Conference, Las Vegas, NV, June 17–22, 2001, 1414–1417 (2001).Google Scholar
  20. 20.
    DeWald, A.T. and Hill, M.R., “Residual Stress in a Thick Steel Weld Determined Using the Contour Method,” University of California, Davis report for Los Alamos National Laboratory Contract 32390-001-01-49 (October 2001).Google Scholar
  21. 21.
    DeBoor, C., MATLAB Spline Toolbox User's Guide, The Math Works, Inc., Natick, MA (2000).Google Scholar
  22. 22.
    Cao, Y.P., Hu, N., Lu, J., Fukunaga, H., andYao, Z. H., “An Inverse Approach for Constructing the Residual Stress Field Induced by Welding,”Journal of Strain Analysis for Engineering Design,37 (4),345–359 (2002).CrossRefGoogle Scholar
  23. 23.
    Hill, M.R. andLin, W.Y., “Residual Stress Measurement in a Ceramic-metallic Graded Material,”Journal of Engineering Materials and Technology,124 (2),85–191 (2002).CrossRefGoogle Scholar
  24. 24.
    Webster, G.A. andEzeilo, A.N., “Residual Stress Distributions and Their Influence on Fatigue Lifetimes,”International Journal of Fatigue,23 (SS),S375-S383 (2001).CrossRefGoogle Scholar
  25. 25.
    Gasvik, K.J., , 2nd edition, Wiley, Chichester, UK (1995).Google Scholar
  26. 26.
    Dainty, J.C., Current Trends in Optics, Academic, San Diego, CA (1994).Google Scholar
  27. 27.
    Nobre, J.P., Kornmeier, M., Dias, A.M., andScholtes, B., “Use of the Hole-drilling Method for Measuring Residual Stresses in Highly Stressed Shot-Peened Surfaces,” EXPERIMENTAL MECHANICS,40 (3),289–297 (2000).CrossRefGoogle Scholar
  28. 28.
    Prime, M.B., Newborn, M.A., andBalog, J.A., “Quenching and Cold-Work Residual Stresses in Aluminum Hand Forgings: Contour Method Measurement and FEM Prediction,”Materials Science Forum,426–432,435–440 (2003).CrossRefGoogle Scholar

Copyright information

© Society for Experimental Mechanics 2004

Authors and Affiliations

  • M. B. Prime
    • 1
  • R. J. Sebring
    • 2
  • J. M. Edwards
    • 2
  • D. J. Hughes
    • 3
  • P. J. Webster
    • 4
  1. 1.Engineering Sciences and Applications DivisionLos Alamos National LaboratoryLos AlamosUSA
  2. 2.Materials Science and Technology DivisionLos Alamos National LaboratoryLos AlamosUSA
  3. 3.FaME38 at ILL-ESRFGrenoble CedexFrance
  4. 4.Institute for Materials Research, School of Aeronautical, Civil and Mechanical EngineeringUniversity of SalfordManchesterUK

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