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Incremental Computation Technique for Residual Stress Calculations Using the Integral Method

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Abstract

The Integral Method for determining residual stresses involves making surface deformation measurements after a sequence of small increments of material removal depth. Typically, the associated matrix equation for solving the residual stresses within each depth increment is ill-conditioned. The resulting error sensitivity of the residual stress evaluation makes it essential that data measurement errors are minimized and that the residual stress solution method be as stable as possible. These two issues are addressed in this paper. The proposed method involves using incremental deformation data instead of the total deformation data that are conventionally used. The technique is illustrated using an example ESPI hole-drilling measurement.

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References

  1. Schajer, G. S. and Prime, M. B. “Use of Inverse Solutions for Residual Stress Measurements.” Journal of Engineering Materials and Technology. Vol.128, No.3, pp.375-382, 2006.

    Article  Google Scholar 

  2. ASTM. “Determining Residual Stresses by the Hole-Drilling Strain-Gage Method.” ASTM Standard Test Method E837-08. American Society for Testing and Materials, West Conshohocken, PA. 2008.

    Google Scholar 

  3. Lu, J. “Handbook of Measurement of Residual Stresses,” Chapter 2: “Hole-Drilling and Ring Core Methods.” Fairmont Press, Lilburn, GA, 1996.

    Google Scholar 

  4. Prime, M. B. “Residual Stress Measurement by Successive Extension of a Slot: The Crack Compliance Method.” Applied Mechanics Review, Vol.52, No.2, pp.75-96. 1999.

    Article  Google Scholar 

  5. Cheng, W., and Finnie, I. “Measurement of Residual Hoop Stress in Cylinders Using the Compliance Method.” Journal of Engineering Materials and Technology, 108, pp.87-92, 1986.

    Article  Google Scholar 

  6. Sachs, G. and Espey, G. “Measurement of Residual Stresses in Metal.” Iron Age, 148, Sept. 18, pp. 63–71; Sept. 25, pp. 36–42, 1941.

    Google Scholar 

  7. Treuting, R. G. and Read, W. T. “A Mechanical Determination of Biaxial Residual Stress in Sheet Materials,” Journal of Applied Physics, Vol.22, No.2, pp.130-134, 1951.

    Article  MATH  Google Scholar 

  8. Parker, R. L. “Geophysical Inverse Theory.” Princeton University Press, New Jersey, 1994.

    MATH  Google Scholar 

  9. Schajer, G. S. “Strain Data Averaging for the Hole-Drilling Method.” Experimental Techniques, Vol.15, No.2, pp.25-28, 1991.

    Article  Google Scholar 

  10. Schajer, G. S. “Hole-Drilling Residual Stress Profiling with Automated Smoothing.” Journal of Engineering Materials and Technology, Vol.129, No.3, pp.440-445, 2007.

    Article  Google Scholar 

  11. Nelson, D.V. and McCrickerd, J.T. “Residual-stress Determination Through Combined Use of Holographic Interferometry and Blind-Hole Drilling.” Experimental Mechanics, Vol.26, No.4, pp.371-378, 1986.

    Article  Google Scholar 

  12. Díaz, F. V., Kaufmann, G. H. and Möller, O. Residual Stress Determination Using Blind-hole Drilling and Digital Speckle Pattern Interferometry with Automated Data Processing.” Experimental Mechanics, Vol.41, No. 4, pp.319-323, 2001.

    Article  Google Scholar 

  13. Steinzig, M. and Ponslet, E. “Residual Stress Measurement Using the Hole Drilling Method and Laser Speckle Interferometry: Part I.” Experimental Techniques, Vol.27, No.3, pp.43-46, 2003.

    Article  Google Scholar 

  14. McDonach, A., McKelvie, J., MacKenzie, P. and Walker, C. A. “Improved Moiré Interferometry and Applications in Fracture Mechanics, Residual Stress and Damaged Composites.” Experimental Techniques, Vol.7, No.6, pp.20-24, 1983.

    Article  Google Scholar 

  15. Nicoletto, G. “Moiré Interferometry Determination of Residual Stresses in the Presence of Gradients,” Experimental Mechanics, Vol.31, No.3, pp.252-256, 1991.

    Article  Google Scholar 

  16. Wu, Z., Lu, J. and Han, B. “Study of Residual Stress Distribution by a Combined Method of Moiré Interferometry and Incremental Hole Drilling.” Journal of Applied Mechanics, Vol.65, No.4 Part I: pp.837-843, Part II: pp.844-850, 1998.

    Google Scholar 

  17. McGinnis, M.J., Pessiki, S. and Turker, H. “Application of Three-dimensional Digital Image Correlation to the Core-drilling Method.” Experimental Mechanics, Vol.45, No.4, pp.359-367, 2005.

    Article  Google Scholar 

  18. Lord J.D., Penn D. and Whitehead, P. “The Application of Digital Image Correlation for Measuring Residual Stress by Incremental Hole Drilling.” Applied Mechanics and Materials, Vols. 13–14, pp 65–73, 2008.

    Google Scholar 

  19. Dahlquist, G., Björck, Å., and Anderson, N., 1974, Numerical Methods, Prentice-Hall, Englewood Cliffs, NJ.

    Google Scholar 

  20. Sirohi, R. S. “Speckle Metrology.” Marcel Dekker, New York, 1993.

    Google Scholar 

  21. Schajer, G. S. “Measurement of Non-Uniform Residual Stresses Using the Hole-Drilling Method.” Journal of Engineering Materials and Technology, Vol.110, No.4, Part I: pp.338-343, Part II: pp.344-349, 1988.

    Google Scholar 

  22. Schajer, G. S. and Steinzig, M. “Full-Field Calculation of Hole-Drilling Residual Stresses from ESPI Data.” Experimental Mechanics, Vol.45, No.6, pp.526-532, 2005.

    Article  Google Scholar 

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Correspondence to Gary S. Schajer .

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Schajer, G.S., Rickert, T.J. (2011). Incremental Computation Technique for Residual Stress Calculations Using the Integral Method. In: Proulx, T. (eds) Experimental and Applied Mechanics, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9792-0_35

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  • DOI: https://doi.org/10.1007/978-1-4419-9792-0_35

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