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Neutron and X-Ray Diffraction Study of Internal Stress in Thermomechanically Fatigued Single-Crystal Superalloy

  • Symposium: Neutron and X-Ray Studies for Probing Materials Behavior
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Abstract

The relationship between internal stress and thermomechanical fatigue (TMF) in a Ni-based single-crystal superalloy is studied by neutron and X-ray diffraction. The extents of internal stress, deformation, lattice mismatch, and distortion during TMF are characterized by the determined deviatoric stress invariants and lattice parameters and compared with relevant microstructural information from scanning electron microscopy (SEM) and transmission electron microscopy (TEM). The results show that, in general, the macroscopic stress, plastic deformation, lattice mismatch, and distortion have all increased during TMF. The lattice mismatches of the TMF samples are at a high level, where the values along [100]/[010] are negative, but those along [001] are positive. The tetragonal lattice distortion of the γ matrix is slightly greater than that of the γ′ precipitates, where the c/a values of the γ matrix are smaller than 1, but that of the γ′ precipitate larger than 1. The γ matrix yields and becomes hardened at the initial TMF cycle and gradually loses most of its strength during the earlier TMF cycles, associated with stress relaxation and homogenous deformation. However, the γ′ precipitates yield and become hardened later, bearing the most stress up to the necking of the superalloy. This process is associated with a buildup of stress and significant concentrated and inhomogeneous distribution of deformation in the γ′ precipitate. The residual deformation states of the superalloy and its component phases at the earlier TMF are basically shearing, and only become stretched at a later stage of TMF. The microstructure of the TMF samples shows an initial stage of rafting, where the dislocations are accumulated at the \( \gamma \mathord{\left/ {\vphantom {\gamma {{\gamma }\ifmmode{'}\else$'$\fi }}} \right. \kern-\nulldelimiterspace} {{\gamma }\ifmmode{'}\else$'$\fi } \) interfaces of the γ matrix channels, but both dislocation networks and stacking faults are inhomogeneously distributed in the γ′ precipitates.

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References

  1. H.A. Kuhn, H. Biermann, T. Ungar, H. Mughrabi: Acta Metall. Mater., 1991, vol. 39, pp. 2783–94

    Article  CAS  Google Scholar 

  2. L. Muller, U. Glatzel, M. Feller-Kniepmeier: Acta Metall. Mater., 1993, vol. 41, pp. 3401–11

    Article  Google Scholar 

  3. H. Mughrabi, U. Tetzlaff: Adv. Eng. Mater., 2000, vol. 2, pp. 319–26

    Article  CAS  Google Scholar 

  4. V. Brien, L.P. Kubin, B. Decamps: Philos. Mag. A, 2001, vol. 81, pp. 2285–2301

    CAS  Google Scholar 

  5. Z. Lu, F. Pyczak, H. Biermann, H. Mughrabi: Philos. Mag. A, 2002, vol. 82, pp. 1219–34

    CAS  Google Scholar 

  6. K. Tanaka, T. Kajikawa, T. Ichitsubo, M. Osawa, T. Yokokawa, H. Harada: Mater. Sci. Forum, 2005, vols. 475–479, pp. 619–22

    Google Scholar 

  7. B. Marty, P. Moretto, P. Gergaud, J.L. Lebrun, K. Ostolaza, V. Ji: Acta Mater., 1997, vol. 45, pp. 791–800

    Article  CAS  Google Scholar 

  8. E.C. Dickey, V.P. Dravid, C.R. Hubbard: J. Am. Ceram. Soc., 1997, vol. 80, pp. 2773–80

    Article  CAS  Google Scholar 

  9. R.A. Winholtz, J.B. Cohen: Mater. Sci. Eng. A, 1992, vol. 154, pp. 155–63

    Article  Google Scholar 

  10. H. Biermann, B. von Grossmann, T. Ungar, S. Mechsner, A. Souvorov, M. Drakopoulos, A. Snigirev, H. Mughrabi: Acta Mater., 2000, vol. 48, pp. 2221–30

    Article  CAS  Google Scholar 

  11. D. Dye, K.T. Conlon, R.C. Reed: Metall. Mater. Tran. A, 2004, vol. 35A, pp. 1703–13

    Article  CAS  Google Scholar 

  12. B. von Grossmann, H. Biermann, H. Mughrabi: Philos. Mag. A, 2000, vol. 80, pp. 1743–57

    Article  Google Scholar 

  13. J.R. Santisteban, M.R. Daymond, J.A. James, L. Edwards: J. Appl. Cryst., 2006, vol. 39, pp. 812–25

    Article  CAS  Google Scholar 

  14. T. Pirling, G. Bruno, P.J. Withers: Mater. Sci. Eng. A, 2006, vol. 437, pp. 139–44

    Article  CAS  Google Scholar 

  15. H. Zhou, I. Okada, Y. Ro, H. Harada, Y. Koizumi, T. Kobayashi: Metall. Mater. Trans. A, 2004, vol. 35A, pp. 1779–87

    Article  CAS  Google Scholar 

  16. H. Zhou, H. Harada, Y. Ro, I. Okada: Mater. Sci. Eng. A, 2005, vol. 394, pp. 161–67

    Article  CAS  Google Scholar 

  17. Y.C. Wang, S.X. Li, S.H. Ai, F. Liu, L. Zhou, H. Zhang: Acta Metall. Sin., 2003, vol. 39, pp. 337–41

    CAS  Google Scholar 

  18. E. Wu, J. Zhang, B. Chen, G. Sun, V. Ji, D. Hughes, T. Pirling: J. Phys.: Condens Mater, 2008, vol. 20, pp. 1042–55

    Google Scholar 

  19. W.L. Hu, Z.R. Wang: J. Mater. Process. Technol., 2002, vol. 121, pp. 202–06

    Article  Google Scholar 

  20. J.F. Ganghoffer, A. Hazotte, S. Denis, A. Simon: Scripta Metall. Mater., 1991, vol. 25, pp. 2491–96

    Article  CAS  Google Scholar 

  21. J. Zhang, S.C. Wang, E. Wu, J. Zhang, L.H. Lou: Acta Metall. Sinica, 2007, vol. 43, pp. 1161–65

    CAS  Google Scholar 

  22. S. Ma, P. Rangaswamy, B.S. Majumdar: Scripta Mater., 2003, vol. 48, pp. 525–30

    Article  CAS  Google Scholar 

  23. B.J. Piearcey, B.H. Kear, R.W. Smashey: Trans. Am. Soc. Met., 1967, vol. 60, pp. 634–43

    CAS  Google Scholar 

  24. P. Beardmore, R.G. Davies, T.L. Johnston: Trans. TMS-AIME, 1969, vol. 245, pp. 1537–45

    CAS  Google Scholar 

  25. N. Jia, R. Lin Peng, Y.D. Wang, S. Johansson, P.K. Liaw: Acta Mater., 2008, vol. 56, pp. 782–93

    Article  CAS  Google Scholar 

  26. Y.D. Wang, H.B. Tian, A.D. Stoica, X.L. Wang, P.K. Liaw, J.W. Richardson: Nat. Mater., 2003, vol. 2, pp. 101–06

    Article  CAS  Google Scholar 

  27. H. Biermann, M. Strehler, H. Mughrabi: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 1003–14

    Article  CAS  Google Scholar 

  28. G. Schumacher, N. Darowski, I. Zizak, H. Klingelhoffer, W. Chen, W. Neumann: Mater Sci. Forum, 2007, vols. 539–543, pp. 3059–63

    Article  Google Scholar 

  29. W. Chen, N. Darowski, I. Zizak, G. Schumacher, H. Klingelhoffer, W. Neumann: Nucl. Instr. Meth. Phys. Res. B, 2006, vol. 246, pp. 201–05

    Article  CAS  Google Scholar 

  30. N. Miura, K. Kurita, Y. Kondo, T. Matsuo: Mater Sci. Forum, 2007, vols. 539–543, pp. 3024–29

    Google Scholar 

  31. L. Zhou, S.X. Li, Y.C. Wang, Z.G. Wang: Acta Metall. Sinica, 2005, vol. 41, pp. 245–50

    CAS  Google Scholar 

  32. J.C. Li: Master’s Thesis, IMR, Shenyang, China, 2008

  33. G. Xie: Ph.D. Thesis, IMR, Shenyang, China, 2008

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Acknowledgments

We appreciate L.H. Lou, J.L. Wen, and G. Yao, IMR, for their assistance with the experiments. One of the authors (EW) acknowledges the beam time and associated facilities provided by ILL and the traveling assistance provide by the Chinese Spallation Neutron Source (CSNS).

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Correspondence to Erdong Wu.

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This article is based on a presentation given in the symposium entitled “Neutron and X-Ray Studies for Probing Materials Behavior,” which occurred during the TMS Spring Meeting in New Orleans, LA, March 9–13, 2008, under the auspices of the National Science Foundation, TMS, the TMS Structural Materials Division, and the TMS Advanced Characterization, Testing, and Simulation Committee.

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Wu, E., Li, J., Zhang, J. et al. Neutron and X-Ray Diffraction Study of Internal Stress in Thermomechanically Fatigued Single-Crystal Superalloy. Metall Mater Trans A 39, 3141–3148 (2008). https://doi.org/10.1007/s11661-008-9694-z

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