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Uncertainty Estimate of Charpy Data Using a 5-Factor 8-Run Design of Experiments

[+] Author Affiliations
Charles G. Interrante

Consultant, Bethesda, MD

Jeffrey T. Fong, James J. Filliben, N. Alan Heckert

National Institute of Standards and Technology, Gaithersburg, MD

Paper No. PVP2008-61565, pp. 1475-1501; 27 pages
  • ASME 2008 Pressure Vessels and Piping Conference
  • Volume 6: Materials and Fabrication, Parts A and B
  • Chicago, Illinois, USA, July 27–31, 2008
  • Conference Sponsors: Pressure Vessels and Piping
  • ISBN: 978-0-7918-4829-6
  • Copyright © 2008 by ASME and U.S. Government


Scatter in laboratory data with duplicates on Charpy impact tests is analyzed by identifying several sources of variability such as temperature, manganese sulfide, initial strain, mis-orientation, and notch radius in order to estimate the predictive 95% confidence intervals of the mean energy of absorption for each specific test temperature. Using a combination of real and virtual data on a high-strength pressure vessel grade steel (ASTM A517) over a range of temperatures from −40 °C (−40 °F) to 182 °C (360 °F), and the concept of a statistical design of experiments, we present an uncertainty estimation methodology using a public-domain statistical analysis software named DATAPLOT. A numerical example for estimating the mean, standard deviation, and predictive intervals of the Charpy energy at 48.9 °C (120 °F) is included. To illustrate the application potential of this methodology, we enhance it with formulas of error propagation to estimate the mean, standard deviation, and predictive intervals of the associated static crack initiation toughness, KIc . A discussion of the significance and limitations of the proposed methodology, and a concluding remark are given at the end of this paper.

Copyright © 2008 by ASME and U.S. Government



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