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The ϕ-Integral Method for X-Ray Residual Stress Measurements

Published online by Cambridge University Press:  06 March 2019

C.N.J. Wagner ,
B. Eigenmann  and
M.S. Boldrick
C.N.J. Wagner
Affiliation:
Department of Materials Science and Engineering University of California, Los Angeles, CA 90024
B. Eigenmann
Affiliation:
Department of Materials Science and Engineering University of California, Los Angeles, CA 90024
M.S. Boldrick
Affiliation:
Department of Materials Science and Engineering University of California, Los Angeles, CA 90024
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Abstract

Residual stress measurements were made on a ground rail steel (0.75 %C) using the newly developed ϕ-integral method and the conventional ψ-differential method. The strains <εϕψ> were measured as a function of the azimuth angle ϕ, the angle of rotation about an axis perpendicular to the specimen surface, from 0° to 360° in steps of 15°, at fixed tilt angles ψ, the angle between the normals to the specimen surface and the reflecting planes (hkl), set between 0° and 45° in steps of 9°.

It was found that <εϕψ> plotted as a function of ϕ is not periodic with the period of 180° and consequently exhibits the so-called ψ-splitting when plotted as a function of sin2ψ at constant ϕ. The Fourier coefficients of the function <εϕψ> plotted versus ϕ were used to evaluate the strain tensor <εij> in the integral method. Assuming that isotropic elasticity theory is applicable, the stress tensor <σij> was calculated, and excellent agreement was found between the values determined with the ϕ integral and ψ-differential methods.

Type
III. X-Ray Stress/Strain Determination, Fractography, Diffraction, Line Broadening Analysis
Information
Advances in X-Ray Analysis , Volume 31: Thirty-Sixth Annual Conference on Applications of X-ray Analysis, August 3-7, 1987 , 1987 , pp. 181 - 190
Copyright
Copyright © International Centre for Diffraction Data 1987

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References

1. Hauk, V.M. and Macherauch, E., Advances in X-Ray Analysis, 27: 81, (1984).Google Scholar
2. Cullity, B.D., “Elements of X-Ray Diffraction”, 2nd Edition, Addison Wesley, Reading, Massachuset (1978).Google Scholar
3. James, M.R. and Cohen, J.B., “Experimental Methods in Materials Science”, in Treatise on Materials Science and Technology, Vol. 19A, ed. Herman, H., Academic Press, Orlando, Florida, (1980) p. 20.Google Scholar
4. Carpenter, J.M., Lander, G.H. and Windsor, C.G., Rev. Scientific Instr. 50: 1019 (1984).Google Scholar
5. Predecki, P. and Barrett, C.S., J. Composite Materials 16: 260 (1982).Google Scholar
6. Lode, W. and Peiter, A., Metal 35: 758 (1981).Google Scholar
7. Wagner, C.N.J., Boldrick, M.S. and Perez-Mendez, V., Advances in X-Ray Analysis 26: 275 (1983).Google Scholar
8. Cohen, J.B., Doelle, H. and James, M.R., “Accuracy in Powder Diffraction”, eds. Block, S. and CHibbard, R., NBS Special Publication 567, Government, U.S. Printing Office, Washington, D.C. (1980) p. 453.Google Scholar
9. Doelle, H. and Cohen, J.B., Me tall. Transactions 11A: 159 (1980).Google Scholar
10. Wagner, J.C.N., “Local Atomic Arrangement Studied by X-Ray Diffraction”, eds. Cohen, J.B. and Hilliard, J.E., Gordon and Breach, New York, (1966), p. 219.Google Scholar
11. Macherauch, E., Wohlfahrt, H. and Wolfstieg, U., Haerterei-Technische Mitteilungen 28: 201 (1973).Google Scholar
12. Noyan, I.C., Metall. Transactions 14A: 1907 (1983).Google Scholar
13. Sines, G., “Elasticity and Strength”, Allyn and Bacon, Boston, (1969).Google Scholar