Abstract
In residual stress measurements with X-rays, the interplanar spacing is often assumed to alter linearly with the orientation of the reflecting grains with respect to the stress system; the calculation of the stresses is based on this assumption when either the well-known two-tilt or sin2ψ methods are employed. But in materials with strong texture, large oscillations have sometimes been reported. A method proposed in the literature for evaluating stresses in such a situation in terms of elastic anisotropy has been tested and shown to provide a reasonable stress system; however, the texture must be known in detail, so as to calculate the effective anisotropic X-ray elastic constants. More importantly, the theory predicts that well-established standard methods (and measured or calculated isotropic X-ray elastic constants)can be used, and without knowledge of the texture,if hoo andhhh reflections are employed; this has been verified experimentally in this study. It is recommended that such reflections be employed in the future, rather than the common ones now utilized.
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References
B. D. Cullity:Elements of X-ray Diffraction, 2nd ed., pp. 447–79, Addison- Wesley, Reading, MA, 1978.
C. S. Barrett and T. B. Massalski:Structure of Metals, 3rd ed., pp. 466–85, McGraw-Hill, New York, 1966.
R. H. Marion and J. B. Cohen:Adv. X-ray Anal., 1911, vol. 20, pp. 335–67.
H. Dölle:J. Appl. Cryst., 1979, vol. 12, pp. 489–501.
J. B. Cohen, H. Dölle, and M. R. James: “Stress Analysis from Powder Diffraction Patterns”, Symposium on Accuracy in Powder Diffraction, NBS, Washington, D.C., in press.
F. Bollenrath, V. Hauk, and W. Weidemann:Arch. Eisenhuettenwes., 1967, vol. 38, pp. 793–800.
F. Bollenrath, V. Hauk, and W. Ohly:Härterei. Tech. Mitt., 1968, vol. 23, pp. 311–13.
T. Shiraiwa and Y. Sakamoto:Proc. 13th Jpn Congr. on Mater. Res. Metal Mater., pp. 25–32, Kyoto, 1970.
R. H. Marion and J. B. Cohen:Adv. X-Ray Anal, 1975, vol. 18, pp. 466–501.
V. Hauk, D. Herlach, and H. Sesemann:Z. Metallk., 1975, vol. 66, pp. 734–37.
H. Dölle, V. Hauk, and H. Zegers:Z. Metallk., 1978, vol. 69, pp. 766–72.
G. B. Greenough:Proc. Roy. Soc., 1949, vol. 197A, pp. 556–67.
H. Dölle and V. Hauk:Z. Metallk., 1978, vol. 69, pp. 410–17.
H. Dölle and V. Hauk:Härterei. Tech. Mitt., 1976, vol. 31, pp. 165–68.
H. Dölle and J. B. Cohen:Met. Trans. A, 1980, vol. 11 A, pp. 159–64.
S.M. Wecker and P. R.Morris:J. Appl. Cryst., 1978, vol. 11, pp. 211–20.
G. Wassermann and J. Greven:Texturen Metallischer Werkstoffe, 2nd ed., pp. 203–11, Springer, Berlin, 1962.
E. Kröner:Z. Physik, 1958, vol. 151, pp. 504–18.
P. R. Morris:Int. J. Eng. Sci., 1970, vol. 8, pp. 49–61.
A. Reuss:Z. Angew. Math. Mech., 1929, vol. 9, pp. 49–58.
H. Möller and G. Martin:Mitt. K. W. I. Eisenforschg., Düsseldorf, 1939, vol. 21, pp. 261–69.
Crystal and Solid State Physics, Landolt-Börnstein, Group III, vol. 2, K.-H. Hellwege, ed., Springer, Berlin-New York, 1969.
V. Hauk:Naturwiss., 1953, vol. 40, pp. 507–08.
M. R. James and J. B. Cohen:Adv. X-Ray Anal., 1977, vol. 20, pp. 291–309.
E. Macherauch and U. Wolfstieg:Adv. X-Ray Anal., 1977, vol. 20, pp. 369–78.
G. Faninger, V. Hauk, E. Macherauch, and U. Wolfstieg:Härterei. Tech. Mitt., 1976, vol. 31, pp. 109–11.
H. Dölle and V. Hauk:Z. Metallk., 1979, vol. 70, pp. 682–85.
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H. DÖLLE formerly Visiting Scholar, Northwestern University.
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Dölle, H., Cohen, J.B. Evaluation of (residual) stresses in textured cubic metals. Metall Trans A 11, 831–836 (1980). https://doi.org/10.1007/BF02661212
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DOI: https://doi.org/10.1007/BF02661212