Skip to main content
SpringerLink
Log in

Incremental Computation Technique for Residual Stress Calculations Using the Integral Method

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

The Integral Method for determining residual stresses involves making surface deformation measurements within 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.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Schajer GS, Prime MB (2006) Use of inverse solutions for residual stress measurements. J Eng Mater Technol 128(3):375–382

    Article  Google Scholar 

  2. ASTM (2008) 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

  3. Lu J (1996) Handbook of measurement of residual stresses, Chapter 2: hole-drilling and ring core methods. Fairmont Press, Lilburn

    Google Scholar 

  4. Prime MB (1999) Residual stress measurement by successive extension of a slot: the crack compliance method. Appl Mech Rev 52(2):75–96

    Article  Google Scholar 

  5. Cheng W, Finnie I (1986) Measurement of residual hoop stress in cylinders using the compliance method. J Eng Mater Technol 108:87–92

    Article  Google Scholar 

  6. Sachs G, Espey G (1941) Measurement of residual stresses in metal. Iron age, 148, Sept. 18, pp. 63–71; Sept. 25, pp. 36–42

  7. Treuting RG, Read WT (1951) A mechanical determination of biaxial residual stress in sheet materials. J Appl Phys 22(2):130–134

    Article  MATH  Google Scholar 

  8. Parker RL (1994) Geophysical inverse theory. Princeton University Press, New Jersey

    MATH  Google Scholar 

  9. Schajer GS (1991) Strain data averaging for the hole-drilling method. Exp Tech 15(2):25–28

    Article  Google Scholar 

  10. Schajer GS (2007) Hole-drilling residual stress profiling with automated smoothing. J Eng Mater Technol 129(3):440–445

    Article  Google Scholar 

  11. Nelson DV, McCrickerd JT (1986) Residual-stress determination through combined use of holographic interferometry and blind-hole drilling. Exp Mech 26(4):371–378

    Article  Google Scholar 

  12. Díaz FV, Kaufmann GH, Möller O (2001) Residual stress determination using blind-hole drilling and digital speckle pattern interferometry with automated data processing. Exp Mech 41(4):319–323

    Article  Google Scholar 

  13. Steinzig M, Ponslet E (2003) Residual stress measurement using the hole drilling method and laser speckle interferometry: part I. Exp Tech 27(3):43–46

    Article  Google Scholar 

  14. McDonach A, McKelvie J, MacKenzie P, Walker CA (1983) Improved Moiré interferometry and applications in fracture mechanics, residual stress and damaged composites. Exp Tech 7(6):20–24

    Article  Google Scholar 

  15. Nicoletto G (1991) Moiré interferometry determination of residual stresses in the presence of gradients. Exp Mech 31(3):252–256

    Article  Google Scholar 

  16. Wu Z, Lu J, Han B (1998) Study of residual stress distribution by a combined method of Moiré interferometry and incremental hole drilling-part I: theory, J Appl Mech 65(4):837–843, Part II: implementation, 65(4):844–850

    Article  Google Scholar 

  17. McGinnis MJ, Pessiki S, Turker H (2005) Application of three-dimensional digital image correlation to the core-drilling method. Exp Mech 45(4):359–367

    Article  Google Scholar 

  18. Lord JD, Penn D, Whitehead P (2008) The application of digital image correlation for measuring residual stress by incremental hole drilling. Appl Mech Mater 13–14:65–73

    Article  Google Scholar 

  19. Dahlquist G, Björck Å, Anderson N (1974) Numerical methods. Prentice-Hall, Englewood Cliffs

    Google Scholar 

  20. Sirohi RS (1993) Speckle metrology. Marcel Dekker, New York

    Google Scholar 

  21. Schajer GS (1988) Measurement of non-uniform residual stresses using the hole-drilling method. J Eng Mater Technol 110(4):Part I: pp.338–343, Part II: pp.344–349

    Google Scholar 

  22. Schajer GS, Steinzig M (2005) Full-field calculation of hole-drilling residual stresses from ESPI data. Exp Mech 45(6):526–532

    Article  Google Scholar 

Download references

Acknowledgments

Financial support for this work was provided by the Natural Sciences and Engineering Research Council of Canada (NSERC), and by American Stress Technologies, Cheswick, PA. Mr. Anthony An kindly assisted with the experimental work.

Author information

Authors and Affiliations

  1. Department Mechanical Engineering, University of British Columbia, Vancouver, BC, Canada, V6T 1Z4

    G. S. Schajer (SEM member)

  2. American Stress Technologies, Cheswick, PA, USA

    T. J. Rickert

Authors
  1. G. S. Schajer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. J. Rickert
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. S. Schajer.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schajer, G.S., Rickert, T.J. Incremental Computation Technique for Residual Stress Calculations Using the Integral Method. Exp Mech 51, 1217–1222 (2011). https://doi.org/10.1007/s11340-010-9408-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11340-010-9408-5

Keywords

Search

Navigation