Abstract
This paper describes a newly developed uncertainty estimate for contour method residual stress measurements and presents results from two experiments where the uncertainty estimate was applied. The uncertainty estimate includes contributions from random error sources including the error arising from noise in displacement measurements and the smoothing of the displacement surfaces. The output is a two-dimensional, spatially varying uncertainty estimate such that every point on the cross-section where residual stress is determined has a corresponding uncertainty value. The current paper describes the use of the newly developed uncertainty estimate in a quenched aluminum bar with a cross section of 51 × 76 mm and a stainless steel weld plate with a cross-section of 25.4 × 152.4 mm, with a 6.35 mm deep groove, filled with a multi-pass weld. The estimated uncertainty in the quenched aluminum bar is approximately 5 MPa over the majority of the cross-section, with localized areas of higher uncertainty, up to 10 MPa. The estimated uncertainty in the welded stainless steel plate is approximately 22 MPa over the majority of the cross-section, with localized areas of higher uncertainty, over 50 MPa.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M.B. Prime, Cross-sectional mapping of residual stresses by measuring the surface contour after a cut. J. Eng. Mater. Technol. 123, 162–168 (2001)
J. Kelleher, M.B. Prime, D. Buttle, P.M. Mummery, P.J. Webster, J. Shackleton et al., The measurement of residual stress in railway rails by diffraction and other methods. J Neutron Res 11, 187–193 (2003)
D.W. Brown, T.M. Holden, B. Clausen, M.B. Prime, T.A. Sisneros, H. Swenson et al., Critical comparison of two independent measurements of residual stress in an electron-beam welded uranium cylinder: neutron diffraction and the contour method. Acta Mater. 59, 864–873 (2011)
M.B. Prime, A.T. DeWald, Practical Residual Stress Measurement Methods (Ch. 5) (Wiley, West Sussex, 2013)
A.T. DeWald, J.E. Rankin, M.R. Hill, M.J. Lee, H.-L. Chen, Assessment of tensile residual stress mitigation in Alloy 22 welds due to laser peening. J. Eng. Mater. Technol. 126, 465–473 (2004)
F. Hosseinzadeh, P. Ledgard, P.J. Bouchard, Controlling the cut in contour residual stress measurements of electron beam welded Ti-6Al-4V alloy plates. Exp. Mech. 53, 829–839 (2012)
M.B. Prime, T. Gnäupel-Herold, J.A. Baumann, R.J. Lederich, D.M. Bowden, R.J. Sebring, Residual stress measurements in a thick, dissimilar aluminum-alloy friction stir weld. Acta Mater. 54, 4013–4021 (2006)
F. Hosseinzadeh, P.J. Bouchard, Mapping multiple components of the residual stress tensor in a large P91 steel pipe girth weld using a single contour cut. Exp. Mech. 53, 171–181 (2012)
M.B. Prime, R.J. Sebring, J.M. Edwards, D.J. Hughes, P.J. Webster, Laser surface-contouring and spline data-smoothing for residual stress measurement. Exp. Mech. 44, 176–184 (2004)
M.D. Olson, A.T. DeWald, M.R. Hill, M.B. Prime, Estimation of uncertainty for contour method residual stress measurements. Exp. Mech. 55, 577–585 (2014)
M.B. Prime, M.R. Hill, Uncertainty, model error, and order selection for series-expanded, residual-stress inverse solutions. J. Eng. Mater. Technol. 128, 175 (2006)
H.W. Coleman, W.G. Steele, Experimentation, Validation, and Uncertainty Analysis for Engineers (Ch. 2) (Wiley, Hoboken, 2009)
J.M. Hammersley, D.C. Handscomb, Monte Carlo Methods (Halsted Press, Sydney, 1964)
M.R. Hill, M.D. Olson, Repeatability of the contour method for residual stress measurement. Exp. Mech. 54, 1269–1277 (2014)
SAE Aerospace, Heat Treatment of Wrought Aluminum Alloy Parts, AMS 2770, 2006
J.S. Robinson, D.A. Tanner, C.E. Truman, A.M. Paradowska, R.C. Wimpory, The influence of quench sensitivity on residual stresses in the aluminium alloys 7010 and 7075. Mater. Charact. 65, 73–85 (2012)
M.D. Olson, M.R. Hill, E. Willis, A.G. Peterson, V.I. Patel, O. Muránsky, Assessment of weld residual stress measurement precision: mock-up design and results for the contour method. J. Nuclear Eng. Rad. Sci. 1, 031008 (10 pages) (2015)
Abaqus/Standard, Version 6.10, Providence, RI, 2010
C. Ohms, R.C. Wimpory, D.E. Katsareas, A.G. Youtsos, NET TG1: residual stress assessment by neutron diffraction and finite element modeling on a single bead weld on a steel plate. Int. J. Press. Vessel. Pip. 86, 63–72 (2009)
M.C. Smith, A.C. Smith, NeT bead-on-plate round robin: comparison of residual stress predictions and measurements. Int. J. Press. Vessel. Pip. 86, 79–95 (2009)
P.J. Bouchard, The NeT bead-on-plate benchmark for weld residual stress simulation. Int. J. Press. Vessel. Pip. 86, 31–42 (2009)
Acknowledgements
With gratitude, the authors acknowledge the U.S. Air Force Research Laboratory for providing financial support for this work (contract FA8650-14-C-5026). The authors would also like to acknowledge helpful discussions with David Riha and John McFarland from the Southwest Research Institute related to uncertainty quantification.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Olson, M.D., DeWald, A.T., Prime, M.B., Hill, M.R. (2016). Contour Method Residual Stress Measurement Uncertainty in a Quenched Aluminum Bar and a Stainless Steel Welded Plate. In: Bossuyt, S., Schajer, G., Carpinteri, A. (eds) Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 9. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-21765-9_37
Download citation
DOI: https://doi.org/10.1007/978-3-319-21765-9_37
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-21764-2
Online ISBN: 978-3-319-21765-9
eBook Packages: EngineeringEngineering (R0)