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Determining Stresses in the Presence of Nonlinearities in Interplanar Spacing vs. Sin2ψ

Published online by Cambridge University Press:  06 March 2019

I. C. Noyan
Affiliation:
Northwestern University, Dept. of Mat. Sci. and Eng., Technological Institute, Evanston, Il. 60201
J. B. Cohen
Affiliation:
Northwestern University, Dept. of Mat. Sci. and Eng., Technological Institute, Evanston, Il. 60201
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Abstract

The physical meaning of non-linearities in “d” vs. sin2ψ lines, encountered in X-ray measurements of surface residual stresses in polycrystalline materials is investigated. It is shown that when oscillations are present in any one reflection, switching to another reflection to obtain a straight line in “d“ vs. sin2.ψ is feasible only under very special conditions. We also discuss the effect of “quasi-homogeneous” strain distributions and investigate the effects of ψ-range on the accuracy of X-ray residual stress measurements when ψ-splitting” is present. A new geometric error is also discussed that can not be detected by the “annealed powder” method often used for alignment.

Type
II. X-Ray Strain and Stress Determination
Copyright
Copyright © International Centre for Diffraction Data 1983

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References

1. Cullity, B. D., Elements of X-ray diffraction, 2nd ed., Addison--Wesley, Reading M A., pp. 447479 (1978)Google Scholar
2. Barret, C. S., Massalski, T. B., Structure of Metals, 3rd ed,, McGraw-Hill, New York, NY, pp. 465485 (1966)Google Scholar
3. Shiraiwa, T., Sakamoto, Y. X-ray Stress Measurement and Its Application to Steel, Smito Search, 7:159–2 (1972) Metall. Trans. A, 11 A:159 (1980)Google Scholar
4. Dolle, H., Cohen, J. B., Residual Stresses in Ground Steels, Metall. Trans. A, 11 A:159 (1980)Google Scholar
5. Ho, J. W., Noyan, I. C., Cohen, J. B., Khanna, V. D., Z. Eliezer:Residual Stresses and Sliding Wear, Wear, 84:183 (1983)Google Scholar
6. Dolle, H., Influence of Multi-Axial Stress States, Stress Gradients and Elastic Anisotropy on the Evaluation of Residual Stresses by X-rays, J. Appl, Cryst. 12:489 (1979)Google Scholar
7. Cohen, J. B., Dolle, H., James, M. R., Stress Analysis From Powder Diffraction Patterns, National Bureau of Standards Special Publication 567, p. 453–77 (1980)Google Scholar
8. Noyan, I. C., Equilibrium Equations for the Average Stresses measured by X-rays:Met. Trans. A., in pressGoogle Scholar
9. Noyan, I. C., Effect of Gradients in Multi-Axial Stress States on Residual Stress Measurements with X-Rays.Met. Trans. A, 14:249(1982)Google Scholar
10. Marion, R. H., Cohen, J. B., Anomalies in Measurement of Residual Stress by X-ray Diffraction,in “Adv. in X-ray Analysis vol. 18” eds. Pickles, W. I., Barret, C. S., Newkirk, J. B., Ruud, C. O., Plenum, New York, N.Y. (1978) 18:466 (1975)Google Scholar
11. Lode, W., Peiter, A. Nijmerik Rontgenograptiischer Eigenspannungsanalysen Oberflaschennaher Schichten, Harterei Tech. Mitt. 32:235 (1977)Google Scholar
12. Nye, J. F., Physical Properties of Crystals, Oxford, pp. 3-30. (1976)Google Scholar
13. Dalle, H. and Gohen, J. B., Evaluation of (Residual) Stresses in Textured Cubic Materials, Met. Trans. A, 11 A:831 (1980)Google Scholar
14. McEwen, S. R., Faber, J., Turner, A. P. L., Hie use of Time-of-flight Neutron Diffraction to the Study of Grain interaction Stresses, Acta. Met., vol. 31:657 (1983)Google Scholar
15. Hashimoto, K., Margolin, H. The Role of Elastic intraction Stresses on the Onset of Slip in Etolycrystalline Alpha Brass, Acta. Met. 31:pp. 773785 (1983)Google Scholar
16. Ibid., pp. 787800 Google Scholar
17. Greenough, G. B., Residual Stresses in plastically Deformed Polycryst alline Metal Aggregates, Proc. Roy. Soc., 167-A:556 (1949)Google Scholar
18. James, M. R., ph. D. Thesis, Northwestern Uni, Evanston, 111., pp.74 (1977)Google Scholar
19. Mura, T., Micromechanics of Defects in Solids, Martinus Nijhoff, Hague (1982)Google Scholar