Skip to main content
SpringerLink
Log in

Cycle Number Estimation Method on Fatigue Crack Initiation using Voronoi Tessellation and the Tanaka Mura Model

  • Technical Article---Peer-Reviewed
  • Published:
Journal of Failure Analysis and Prevention Aims and scope Submit manuscript

Abstract

This paper deals with the short crack initiation of the material 9Cr-1Mo (P91) under cyclic loading at different temperatures (T = 24 °C and T = 650 °C) concluded with the estimation of the short crack initiation Wöhler (S/N) Curve. Short crack initiation under the influence of microstructures is analyzed to derive their crack initiation curves. An artificial but representative microstructural model microstructure was generated using the Voronoi tessellation (VT) method and the non-uniform stress distribution is calculated by Finite Element Method accordingly afterwards. The number of cycles needed for crack initiation is estimated on the basis of the stress distribution in the microstructural model by applying the physically-based Tanaka-Mura model (TMM). Since mechanical properties are highly correlated with temperature, the research indicates that the number of cycles required to initiate cracks at room temperature is significantly higher than at elevated temperatures.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. R.Y. Cui et al., Quantifying operational lifetimes for coal power plants under the Paris goals. Nat. Commun. 10, 1–9 (2019)

    Article  Google Scholar 

  2. S. Salifu, D. Desai, S. Kok, Numerical investigation of creep-fatigue interaction of straight P91 steam pipe subjected to start-up and shutdown cycles. Mater. Today Proc. 38, 1018–1023 (2021)

    Article  Google Scholar 

  3. M. Speicher, A. Klenk, and K. Coleman, Creep-Fatigue Interactions in P91 Steel. in 13th International Conference on Fracture, 16–21 June 2013 (China), p 1–10 (2013)

  4. F. Bassi, S. Beretta, A. Lo Conte, and M. Cristea, Creep-Fatigue Crack Growth in Power Plant Components Contact data Key Words Material and Creep-fatigue tests, in 4th International ECCC Confrerence, 10–14 September 2017 (Germany), p 1–10 (2017)

  5. A. Saxena and S. Narasimhachary, Creep-fatigue crack growth testing of p91 steel: result of the round robin for assessing ASTM Standard E-2760–10, EPRI, Palo Alto, CA, (2018)

  6. A. Mehmanparast, M. Yatomi, F. Biglari, S. Maleki, K. Nikbin, Experimental and numerical investigation of the weld geometry effects on Type IV cracking behaviour in P91 steel. Eng. Fail. Anal. 117, 1–12 (2020)

    Article  Google Scholar 

  7. M. Mlikota and S. Schmauder, Numerical determination of component Wöhler curve, Anwendungsspezifsche Werkstoffgesetze für die Bauteilsimulation, DVM-Bericht 1684, DVM e.V., Berlin, 26–28 April 2017 (Germany), p 111–124 (2017)

  8. M. Mlikota, S. Schmauder, Ž Božić, Calculation of the Wöhler (S-N) curve using a two-scale model. Int. J. Fatigue. 114, 289–297 (2018)

    Article  Google Scholar 

  9. M. Mlikota, Multiscale Modelling and Simulation of Metal Fatigue and its Applications. (Ph.D. Thesis. Universität Stuttgart, Stuttgart, 2020)

    Google Scholar 

  10. N. Jezernik, J. Kramberger, T. Lassen, S. Glodež, Numerical modelling of fatigue crack initiation and growth of martensitic steels. Fatigue Fract. Eng. Mater. Struct. 33, 714–723 (2010)

    Google Scholar 

  11. J. Kramberger, N. Jezernik, P. Göncz, S. Glodež, Extension of the Tanaka-Mura model for fatigue crack initiation in thermally cut martensitic steels. Eng. Fract. Mech. 77, 2040–2050 (2010)

    Article  Google Scholar 

  12. X. Wu, On Tanaka-Mura’s fatigue crack nucleation model and validation. Fatigue Fract. Eng. Mater. Struct. 41(4), 894–899 (2018)

    Article  Google Scholar 

  13. A. Brückner-Foit, X. Huang, Numerical simulation of micro-crack initiation of martensitic steel under fatigue loading. Int. J. Fatigue. 28, 963–971 (2006)

    Article  Google Scholar 

  14. K. Tanaka, T. Mura, A dislocation model for fatigue crack initiation. J. Appl. Mech. 48(1), 97–103 (1981)

    Article  Google Scholar 

  15. K. Tanaka, T. Mura, A theory of fatigue crack initiation at inclusions. Metall. Tarns. A. 13, 117–123 (1982)

    Article  Google Scholar 

  16. J. Zhou, R.A. Barrett, S.B. Leen, A physically-based method for predicting high temperature fatigue crack initiation in P91 welded steel. Int. J. Fatigue. 153, 1–15 (2021)

    Article  Google Scholar 

  17. G. Monnet, M.A. Pouchon, Determination of the critical resolved shear stress and the friction stress in austenitic stainless steels by compression of pillars extracted from single grains. Mater. Lett. 98, 128–130 (2013)

    Article  CAS  Google Scholar 

  18. D.F. Li, B.J. Golden, N.P. O’Dowd, Multiscale modelling of mechanical response in a martensitic steel: a micromechanical and length-scale-dependent framework for precipitate hardening. Acta Mater. 80, 445–456 (2014)

    Article  CAS  Google Scholar 

  19. ABAQUS 6.13, Theory Guide, Dassault Systemes Simula Corp, Providence, RI, USA.

  20. ABAQUS 6.13, Scripting Reference Guide Dassault Systemes Simula Corp, Providence, RI, USA.

  21. Y. Gorash and D. Mackenzie, Safety structural design for fatigue and creep using cyclic yield strength,in Conference: 3rd International ECCC Creep & Fracture ConferenceAt: Barceló Aran Mantegna Hotel, Rome, Italy, p 1–7 (2014)

  22. H.J. Kim, Y.H. Kim, J.W. Morris, Thermal mechanisms of grain and packet refinement in a lath martensitic steel. ISIJ Int. 38, 1277–1285 (1998)

    Article  CAS  Google Scholar 

  23. G. Sasikala, S.K. Ray, Evaluation of quasistatic fracture toughness of a modified 9Cr-1Mo (P91) steel. Mater. Sci. Eng. A. 479, 105–111 (2008)

    Article  Google Scholar 

  24. K. Kaede, A. Jäger, V. Gärtnerová, C. Takushima, T. Yamamuro, S. Tsurekawa, Measurement of local mechanical properties of T91 steel corroded by molten lead-bismuth eutectic alloy via Micropillar compression test. MRS Adv. 3(8–9), 419–425 (2018)

    Article  CAS  Google Scholar 

  25. Y. Kawabe, Data Sheets on the Elevated Temperature, Time-Dependent Low-Cycle Fatigue Properties of ASTM A387 Grade 91 (9Cr-1Mo) Steel Plate for Pressure Vessels. (National Research Institute for Metals, Tokyo, 1993)

    Google Scholar 

  26. V. Shankar, K. Mariappan, R. Sandhya, M.D. Mathew, Evaluation of low cycle fatigue damage in grade 91 steel weld joints for high temperature applications. Procedia Eng. 55, 128–135 (2013)

    Article  CAS  Google Scholar 

Download references

Acknowledgments

The authors would like to express their gratitude to staff members of the Institute for Materials Testing, Materials Science and Strength of Materials (IMWF) at the University of Stuttgart, Germany, the Smart Manufacturing Research Institute (SMRI) at School of Mechanical Engineering, Universiti Teknologi MARA (UiTM), Malaysia, the Department of Occupational Safety and Health (DOSH), Malaysia as well as NIMS for the use of the experimental data. This research is financially supported by the Public Service Department of Malaysia with reference number JPA(I)870614145415.

Author information

Authors and Affiliations

  1. Institute for Materials Testing, Materials Science and Strength of Materials (IMWF), University of Stuttgart, 70569, Stuttgart, Germany

    M. R. A. Rahim, S. Schmauder, P. Binkele & K. Dogahe

  2. SMRI and School of Mechanical Engineering, Universiti Teknologi MARA (UiTM), 40450, Shah Alam, Selangor, Malaysia

    Y. H. P. Manurung

  3. Department of Mechanical and Manufacturing Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia (UKM), 43600, Bandar Baru Bangi, Selangor, Malaysia

    M. I. M. Ahmad

  4. Department of Occupational Safety and Health (DOSH) Sarawak, 93100, Kuching, Sarawak, Malaysia

    M. R. A. Rahim

  5. Graduate School of Advanced Manufacturing Engineering (GSaME), Nobelstraße 12, 70569, Stuttgart, Germany

    K. Dogahe

Authors
  1. M. R. A. Rahim
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Schmauder
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Y. H. P. Manurung
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. P. Binkele
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. M. I. M. Ahmad
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. K. Dogahe
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. R. A. Rahim.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This article is an invited paper selected from presentations at the 6th Symposium on Damage Mechanism in Materials and Structures (SDMMS 2022), held August 16–17, 2022 in Kuantan, Malaysia. The manuscript has been expanded from the original presentation. The special issue was organized by Nasrul Azuan Alang, Norhaida Ab Razak, and Aizat Alias, Universiti Malaysia Pahang.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rahim, M.R.A., Schmauder, S., Manurung, Y.H.P. et al. Cycle Number Estimation Method on Fatigue Crack Initiation using Voronoi Tessellation and the Tanaka Mura Model. J Fail. Anal. and Preven. 23, 548–555 (2023). https://doi.org/10.1007/s11668-023-01603-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11668-023-01603-0

Keywords

Search

Navigation