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Determination of Strain and Stress Fields by Diffraction Methods

  • Chapter
Residual Stress

Part of the book series: Materials Research and Engineering ((MATERIALS))

Abstract

Up to this point the mechanical and micromechanical behavior of solids and basic concepts of x-ray and neutron scattering from crystalline solids have been presented. In this chapter these concepts are combined in the derivation of the basic equations of residual stress determination with diffraction. The fundamental assumptions inherent in these derivations and the limits they impose on the applicability of the stress measurement will also be discussed. Various problems in an actual stress measurement, such as the effect of stress gradients, the separation of micro and macrostresses, determination of stresses in thin films and single crystals, etc., are also considered, with special emphasis on the interpretation of the data within the limitations of the theory.

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References

  1. H. Dölle, J. Appl. Cryst, 12, 489 (1979)

    Article  Google Scholar 

  2. H. Dölle and V. Hauk, Z.f. Metalkde, 68, 728 (1977)

    Google Scholar 

  3. H.H. Lester and R.M. Aborn, Army Ordnance 6, 120, 200, 283, 364 (1925–1926)

    Google Scholar 

  4. Soc. Automotive Eng., Residual Stress Measurement by X-ray Diffraction, SAE J784a, 2nd ed. (1971)

    Google Scholar 

  5. H. Dölle and J.B. Cohen, Met. Trans. A, 11-A, 831 (1980)

    Article  Google Scholar 

  6. V. Hauk, P.J.T. Stuitje, and G. Vaessen, Härterei-Tech. Mitt., Beiheft, 129 (1982)

    Google Scholar 

  7. I.C. Noyan, Met. Trans. A, 14A, 1907 (1983)

    Article  Google Scholar 

  8. C.N.J. Wagner, Acta. Met, 5 427 (1957)

    Article  Google Scholar 

  9. H.M. Otte, J. Appl. Phys., 33, 1436 (1962)

    Article  Google Scholar 

  10. R.L. Rothman and J.B. Cohen, J. Appl. Phys., 42, 971 (1971)

    Article  Google Scholar 

  11. V.M. Hauk, R.W.M. Oudelhoven, and G.H.J. Vaessen, Met. Trans. A, 13A, 1239 (1982)

    Article  Google Scholar 

  12. I.C. Noyan, Adv. X-ray Anal, (in print)

    Google Scholar 

  13. T. Imura, S. Weissman, and J.J. Slade, Jr., Acta Cryst., 786 (1962)

    Google Scholar 

  14. S. Weissman and W.E. Mayo, ASM Metals/Matls. Tech. Series, 8311–006, 185 (1984)

    Google Scholar 

  15. W.E. Mayo, J. Chaudhuri, and S. Weissman, ASM Metals/Matls. Tech. Series, 8311–005, 129 (1984)

    Google Scholar 

  16. A. Segmüller and M. Murakami, in “Analytical Techniques for Thin Films”, K.N. Tu and R. Rosenberg Eds., Tratises on Mat. Sci. and Technology, Academic Press, New York (in print)

    Google Scholar 

  17. M. Murakami, CRC Critical Reviews in Mat. Sci., 11, 317 (1983)

    Article  Google Scholar 

  18. V.S. Speriosu and T. Vreeland Jr., J. Appl. Phys., 56, 1591 (1984)

    Article  Google Scholar 

  19. V.S. Speriosu, J. Appl. Phys., 52 6094 (1981)

    Article  Google Scholar 

  20. A. Segmüller, P. Krishna, and L. Esaki, J. Appl. Cryst, 10, 1 (1977)

    Article  Google Scholar 

  21. A. Segmüller, J. Angiello, and S.J. La Placa, J. Appl. Phys., 51, 6224 (1980)

    Article  Google Scholar 

  22. U. Wolfstieg, Harterei-Tech. Mitt, 31 83 (1976)

    Google Scholar 

  23. I.C. Noyan, Mat. Sci and Eng. (in print)

    Google Scholar 

  24. C.M. van Baal, Laboratory for Metallurgy Report, Delft Uni. of Tech., Rotterdamsurg, Netherlands (1982)

    Google Scholar 

  25. C.M. Brakman, J. Appl. Cryst, 16, 325 (1983)

    Article  Google Scholar 

  26. V.M. Hauk, Adv. in X-ray Anal, 27, 101 (1983)

    Google Scholar 

  27. I.C. Noyan, Ph. D. Thesis, Northwestern University, Tech. Institute, Evanston II. 60201 (1984)

    Google Scholar 

  28. I.C. Noyan and J.B. Cohen, Adv. in X-ray Anal., 27, 129 (1983)

    Google Scholar 

  29. N.R. Draper and H. Smith, “Applied Regression Analysis”, Wiley-Interscience, New York, NNY (1966)

    Google Scholar 

  30. R. Marion, Ph. D. Thesis, Northwestern University, Tech. Institute, Evanston. II. 60201 (1972)

    Google Scholar 

  31. C.M. Sayers, Publication MPD/NBS/233, Materials Physics Division, Harwell Oxfordshire, England (1983)

    Google Scholar 

  32. L. Pintschovius, V. Jung, E. Macherauch, and O. Vöhringer, Mat. Sci. and Eng., 61, 43 (1983)

    Article  Google Scholar 

  33. A. Krawitz, J.E. Brune, and M.J. Schmank in “Residual Stress and Stress Relaxation”, E. Kula, V. Weiss Eds., Plenum Press, New York, NY, 139 (1981)

    Google Scholar 

  34. C.W. Tompson, D.F.R. Mildner, M. Mehregany, R. Berliner, and W.B. Yelon, J. Appl. Cryst 17, 385 (1984)

    Article  Google Scholar 

  35. A.D. Krawitz, R. Roberts, and J. Faber, Adv. in X-ray Anal, 27, 239 (1983)

    Google Scholar 

  36. W.B. Pearson, “A Handbook of Lattice Spacings and Structures of Metals and Alloys”, Pergamon Press, New York, 19–54 (1958)

    Book  Google Scholar 

  37. C.S. Barrett and T.B. Massalski, “Structure of Metals”, 3rd ed., McGraw-Hill, New York, 357–379 (1966)

    Google Scholar 

  38. C.S. Roberts, Trans. AIME, 191, 203 (1953)

    Google Scholar 

  39. S. Kodama, Proc. Int. Cong. Mech. Behav. of Materials, Soc. Mat. Sci. Japan, Kyoto, 111 (1972)

    Google Scholar 

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© 1987 Springer-Verlag New York Inc.

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Noyan, I.C., Cohen, J.B. (1987). Determination of Strain and Stress Fields by Diffraction Methods. In: Residual Stress. Materials Research and Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9570-6_5

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  • DOI: https://doi.org/10.1007/978-1-4613-9570-6_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9571-3

  • Online ISBN: 978-1-4613-9570-6

  • eBook Packages: Springer Book Archive

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