Statistical Errors in X-Ray Triaxial Stress Analysis by Cos α Method

Abstract:

Currently, the sin²ψ method is established as an effective technique as how to measure the residual stress state of metal materials non-destructively by X-ray diffraction. In recent years, new X-ray stress measurements with two-dimensional detector are developed and spreading in the world. There is the cosα method as one of the new techniques. However, the research about the statistical errors in the method continues. The measurement theory of the cos α method is reviewed on the triaxial stress state. The triaxial stress analysis by the method is examined and discussed from a viewpoint of the derived errors for the determination.

• Periodical: Materials Science Forum (Volume 1016)
• Pages: 423-428
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.1016.423
• Online since: January 2021
• Authors: Shoichi Ejiri*, Hiroaki Ohba, Toshihiko Sasaki
• Keywords: Cos α Method, Internal Stress, Non-Destructive Inspection, Statistical Errors, Two-Dimensional Detector, X-Ray Stress Measurement

References

[1] JSMS, X-ray Stress Measurement Method, Yokendo, (1994).

[2] I.C. Noyan and J.B. Cohen, Residual Stress: Measurement by Diffraction and Interpretation, Springer-Verlag, (1987).

[3] K. Tanaka, K. Suzuki and Y. Akiniwa, Evaluation of Residual Stresses by X-Ray Diffraction, Yokendo, (2006).

[4] S. Taira, K. Tanaka, T. Yamasaki, J. Soc. Mater. Sci., 27 (1977) 251-256.

[5] T. Sasaki and Y. Hirose, J. Soc. Mater. Sci., 44 (1995) 1138-1143.

[6] B.B. He, Powder diffraction, 18 (2), (2003) 71-85.

[7] B.B. He, Two-dimensional X-ray diffraction, John Wiley & Sons, (2009).

[8] S. Ejiri, H. Ohba and T. Sasaki, Mater. Sci. Forum, 94 (2018) 2373-2377.

[9] J. Soc. Maintenology ed., X-ray Stress Using Measurement Area Detector, Yokendo, (2015).

[10] J.R. Taylor, An Introduction to Error Analysis, University Science Books, (1997).

[11] T. Miyazaki and T. Sasaki, Int. J. Mater. Research, 105 (9), (2015) 922-927.