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A Comparison of Diffraction Elastic Constants of Steel Measured With X-Rays and Neutrons

Published online by Cambridge University Press:  06 March 2019

P. J. Rudnik
Affiliation:
Department of Materials Science and Engineering Northwestern University Evanston, IL 60201
A. D. Krawitz
Affiliation:
Department of Mechanical and Aerospace Engineering University of Missouri Columbia, MO 65211
D. G. Reichel
Affiliation:
Research Reactor University of Missouri Columbia, MO 55211
J. B. Cohen
Affiliation:
Department of Materials Science and Engineering Northwestern University Evanston, IL 60201
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Abstract

The diffraction elastic constants have been measured for the 211 and 310 peaks of a high-strength, low-alloy ferritic steel using X-rays and neutrons. The X-ray measurements were performed using both a uniaxial tension and a bending device. The neutron measurements were performed using a uniaxial tensile device. Ten X-ray and four neutron measurements were made for each case. Statistical errors were calculated and compared with the standard deviations of the average values. In addition, neutron measurements were made for the 310 peak utilizing an interior probe volume.

The results indicate that the calculated statistical errors and the observed standard deviations were almost the same for each radiation. The X-ray and neutron tensile device measurements yielded similar results within experimental error. Furthermore, the X-ray tensile and bending results were similar as were the neutron internal volume measurements. These results suggest that near-surface X-ray measurements adequately sample the bulk material in the case of steel, and that different measurement techniques can be used to obtain reliable diffraction elastic constants.

Type
III. X-Ray Stress/Strain Determination, Fractography, Diffraction, Line Broadening Analysis
Copyright
Copyright © International Centre for Diffraction Data 1987

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References

1. James, M.R. and Cohen, J.B., The Measurement of Residual Stresses by X-Ray Diffraction Techniques, Treatise on Matls. Sci. and Tech. 19A:1-62 (1980).Google Scholar
2. Prevey, P.S., A Method of Determining the Elastic Properties of Alloys in Selected Crystallographic Directions for X-ray Diffraction Residual Stress Measurement, Adv. in X-Ray Anal. 20:345354 (1977).Google Scholar
3. Zhong, R.M., Noyan, I.C. and Cohen, J.B., X-ray Elastic Constants and Their Meaning for Al and Fe, Adv. in X-Ray Anal. 29:1720 (1986).Google Scholar
4. Taira, S., Hayashi, K. and Watase, Z., X-ray Investigation of the Deformation of Polycrystalline Metals, Proc. 12th Japan Cong, on Matl. Res Soc. Matl. Sci., 1969.Google Scholar
5. Esquivel, A.L., X-ray Diffraction Study of the Effect of Uniaxial Plastic Deformation on Residual Stress Measurements, Adv. in X-Ray Anal. 12:269300 (1969).Google Scholar
6. Mariofl, R.H. and Cohen, J.B., The Need for Experimentally Determined X-ray Elastic Constants, Adv. in X-Ray Anal. 20:355367 (1977).Google Scholar
7. Nishioka, K., Hanabusa, T. and Fujiwara, H., Scr. Metall. 8:13491350 (1974).Google Scholar
8. Takei, N., Nishioka, K., Hanabusa, T. and Fujiwara, H., Scr. Metall. 11: 619621 (1977).Google Scholar
9. Hanabusa, T., Nishioka, K., and Fujiwara, H., Z.|Metallkd. 74:307313 (1983).Google Scholar
10. Krawitz, A.D., The Use of X-ray Stress Analysis for WC-Base Cermets, Matls. Sci and Engrg. 75:2936 (1985).Google Scholar
11. Voigt, W., Lehrbuch der Kristallphysik, Teubner, Leipzig/Berlin, 1928.Google Scholar
12. Reuss, A., Calculation of Flow Limits of Mixed Crystals on Basis of Plasticity of Single Crystals, I.Z.Angew. Math. Mech. 9:4958 (1929).Google Scholar
13. Neerfeld, H., The Calculation of Stress from X-ray Elongation Measurements, Mitt. KWI Eisenforsch. Dusseldorf 24:6170 (1942).Google Scholar
14. Kroner, E., Berechnuiig der Elastischen Konstanten des Vielkristalls aus dsn Konstanten des Einkristalls, Z. Phys. 151: 504508 (1958.Google Scholar
15. Petty, K., Noyan, I.C., Rudnik, F.J. and Cohen, J.B., The Measurement of Elastic Constants for the Determination of Stresses by X-rays, Adv. In X-Ray Anal. 27: 159170 (1984.Google Scholar
16. Rudnik, P. J., A Comparison of Diffraction Elastic Constants Measured by X-rays and Neutrons, M.S. Thesis, Northwestern University, 1986.Google Scholar
17. Perry, K. A., Experimental Determination of X-ray Elastic Constants, M.S. Thesis, Northwestern University, 1982.Google Scholar
18. Krawitz, A. D., Brune, J. E. and Schmank, M. J., Measurements of Stress in the Interior of Solids with Neutrons, in: Residual Stress and Stress Relaxation, eds. Kula, E. and Weiss, V., Plenum Press, New York, 1982, pp. 139156.Google Scholar
19. Allen, A. J., Hutchings, M. T., Windsor, C. G. and Andreani, C., Neutron Diffraction Methods for the Study of Residual Stress Fields, Adv. in Phys. 34:445473 (1985).Google Scholar
20. Pintschovius, L., Jung, V., Macherauch, E. and Vohringer, O., Residual Stress Measurements by Means of Neutron Diffraction, Matls. Sci. and Engrg. 61:4350 (1983).Google Scholar
21. Butler, B. D., In-Situ Stress Measurement by Neutron Diffraction, M.S. Thesis, University of Missouri-Columbia, 1985.Google Scholar
22. Tompson, C. W., Mildner, D. F. R., Mehregany, M., Berliner, R. and Yelon, W. B., A Position Sensitive Detector for Neutron Powder Diffraction, J. Appl. Cryst. 17:385394 (1984).Google Scholar
23. Krawita, A. D., Rudnik, P. J., Butler, B. D. and Cohen, J. B., Neutron Stress Measurements with a Position Sensitive Detector, Adv. in X-Ray Anal. 29:163171 (1986).Google Scholar
24. Soc. of Automotive Engrs., Residual Stress Measurements by X-ray Diffraction, SAE Handbook J784a, 2nd ed., Soc. Auto, Engrs., Inc., New York, 1971.Google Scholar