Journal of Failure Analysis and Prevention

, Volume 18, Issue 6, pp 1361–1368 | Cite as

Thermo-Mechanical Fatigue Life Assessment of a Gas Turbine Rotor Through Reliability Approach

  • S. Esakki MuthuEmail author
  • Raghu V. Prakash
  • R. K. Mishra
  • A. Sakthivel
Technical Article---Peer-Reviewed


Turbine rotor is a critical and life-limiting component in gas turbine engines. The thermo-mechanical fatigue (TMF) life of a turbine rotor was studied using reliability method. The fatigue life was estimated using (a) Marrow’s model and (b) Smith–Watson–Topper model. The creep life was estimated based on Larson Miller equations and finite element analysis. The cumulative fatigue–creep damage was estimated, and the turbine rotor TMF life was estimated against the data variation. The reliability approach takes care of material property variations, load variations and geometrical variations. These variations bring out the scatter in component stress–strain and further into life. The scattered life spells out the component reliability. The TMF life was modeled as Weibull distribution, and the reliability was estimated. The component was tested for structural integrity through hot cyclic spin test, and the results were compared with the predictions. The blade growth and strain estimations using Marrow and SWT–creep methods were found in good agreement with the test values.


Turbine rotor Fatigue life Creep Weibull Reliability 

List of symbols


Smith–Watson–Topper method


Thermo-mechanical fatigue


Low-cycle fatigue


High-cycle fatigue


Ultimate tensile strength


Larson Miller parameter


Fatigue ductility exponent

\( \sigma_{f}^{{\prime }} \)

Fatigue strength coefficient

\( \epsilon_{f}^{{\prime }} \)

Fatigue ductility coefficient


Young’s Modulus


Total strain amplitude


Elastic strain amplitude


Plastic strain amplitude


Maximum stress


Weibull scale parameter


Weibull shape parameter



The authors acknowledge the Chief Designer of Aero Engine R&D Centre and engineers of Hindustan Aeronautics Limited, Bangalore, India, for their support and permission to publish this work.


  1. 1.
    H. Cohen, G.F.C. Rogers, H.I.H. Saravanamuttoo, Gas Turbine Theory, vol. 5 (Wiley, New York, 2001)Google Scholar
  2. 2.
    B.A. Cowles, High cycle fatigue in aircraft gas turbines—an industry perspective. Int. J. Fract. 80(2–3), 147–163 (1996)CrossRefGoogle Scholar
  3. 3.
    S.P. Zhu, H.Z. Huang, Y. Liu et al., An efficient life prediction methodology for low cycle fatigue-creep based on ductility exhaustion theory. Int. J. Damage Mech 22(4), 556–571 (2012)CrossRefGoogle Scholar
  4. 4.
    S.P. Zhu, H.Z. Huang, P.L. He et al., A generalized energy-based fatigue–creep damage parameter for life prediction of turbine disk alloys. Eng. Fract. Mech. 90, 89–100 (2012)CrossRefGoogle Scholar
  5. 5.
    S.S. Manson, G. Halford, A method of estimating high temperature low cycle fatigue behaviour of materials, in Proceedings of Int. Conference on Thermal and High Strain Fatigue (Metals and Metallurgy Trust, London, 1967), pp. 154–170Google Scholar
  6. 6.
    S. Majumdar, P.S. Maiya, A damage equation for creep–fatigue interaction, in Winter Annual Meeting of ASME, New York, 1976, pp. 323–336Google Scholar
  7. 7.
    T. Goswami, Low cycle fatigue life prediction—a new model. Int. J. Fatigue 19(2), 109–115 (1997)CrossRefGoogle Scholar
  8. 8.
    S.S. Manson, G.R. Halford, M.H. Hirschberg, Creep–fatigue analysis by strain-range partitioning, in First Symposia on Design for Elevated Temperature Environment, ASME, 1971, pp. 12–28Google Scholar
  9. 9.
    W.J. Ostergren, A damage foundation hold time and frequency effects in elevated temperature low cycle fatigue. J. Test. Eval. 4, 327–339 (1967)Google Scholar
  10. 10.
    E.V. Zaretsky, R.C. Hendricks, Weibull-based design methodology for rotating structures in aircraft engines. Int. J. Rotating Mach. 9, 313–325 (2003)CrossRefGoogle Scholar
  11. 11.
    Harris Jr., J.A., Engine Component Retirement for Cause Volume I—Executive Summary, AFWAL-TR-87-4069 (1987)Google Scholar
  12. 12.
    S.P. Zhu, S. Foletti, S. Beretta Probabilistic framework for multiaxial LCF assessment under material variability. Int. J. Fatigue (2017), Ref. JIJF 4375Google Scholar
  13. 13.
    Y.-L. Lee, J. Pan, RB Hathaway, M.E. Barkey, Fatigue Testing and Analysis (Theory and Practice) (Elsevier Butterworth-Heinemmann), ISBN 0-7506-7719-8Google Scholar
  14. 14.
    S Esakki Muthu, R.V. Prakash,A. Sakthivel, Probabilistic fatigue life assessment of a titanium centrifugal impeller for turboshaft engine application, in ASME Gas Turbine India Conference, (Hyderabad, India, 2015)Google Scholar
  15. 15.
    S. Dileep, S. Esakki Muthu, P. Udayanan, R.K. Mishra, Effect of fatigue damage parameter on the cumulative life of a turbine rotor under multiaxial loading. J. Fail. Anal. Prevent. 16(4), 612–621 (2016). CrossRefGoogle Scholar
  16. 16.
    R.K. Mishra, S. Dileep, A novel methodology to estimate life of gas turbine components under multiaxial variable amplitude loading. J. Fail. Anal. Prevent. 17(4), 731–739 (2017). CrossRefGoogle Scholar
  17. 17.
    B.A. Cowles, High cycle faigue failure in aircraft gas turbines: an industry perspective. Int. J. Fract. 80, 147–163 (1996)CrossRefGoogle Scholar
  18. 18.
    W.Z. Zhuang, N.S. Swauan, Thermo mechanical fatigue like prediction: a credical review, DSTO-TR-0609Google Scholar
  19. 19.
    M.H. Dirikolu, A. Aktas, B. Birgoren, Statistical analysis of fracture strength of composite materials using Weibull distribution. Turk. J. Eng. Environ. Sci. 26, 45–48 (2002)Google Scholar
  20. 20.
    H. Endo, R. Wetherbee, N. Kaushal, Advancement in heated spin testing technologies by GT2013-94152, ASME Turbo Expo 2013, Taxes, USAGoogle Scholar

Copyright information

© ASM International 2018

Authors and Affiliations

  • S. Esakki Muthu
    • 1
    Email author
  • Raghu V. Prakash
    • 2
  • R. K. Mishra
    • 3
  • A. Sakthivel
    • 3
  1. 1.Aero Engine R&D CentreHALBangaloreIndia
  2. 2.Indian Institute of Technology MadrasChennaiIndia
  3. 3.Centre for Military AirworthinessBanagloreIndia

Personalised recommendations