Skip to main content
Log in

Research on fretting fatigue life estimation model considering plastic effect

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

The contact surface between the aero-engine turbine blade and the disk dovetail junction structure is small, which results in severe fretting fatigue. The fretting fatigue of the structure is sharply aggravated by the plastic effect under the action of alternating loads. The existing fatigue life estimation model may need to be improved in considering fretting and plastic effects, making the result greatly differ from those found in practice. Accordingly, this work intends to propose a fretting fatigue life estimation model based on plastic effects and standard surface-to-surface contact theory. The distribution of both the equivalent and contact stresses found in the contact area was analyzed using finite elements. The aim was to determine the fatigue critical point of the structure. The maximum cyclic load stress value was obtained through the fretting fatigue experiments to verify the model accuracy. The model applicability was verified and analyzed using dovetail experiments. The experimental results have shown that the error between the values obtained using the proposed estimation model and experiment is below 12%, meaning that the accuracy is high. Therefore, the estimation model is suitable for estimation the dovetail structure fretting fatigue life. This paper provides theoretical support for the design of the dovetail tenon structure. The contact surface between the aero-engine turbine blade and the dovetail junction structure is small, which results in severe fretting fatigue. The fretting fatigue of the structure is sharply aggravated by the plastic effect under the action of alternating loads. The existing fatigue life estimation model may need to be improved in considering fretting and plastic effects, making the result greatly differ from those found in practice. Accordingly, this work intends to propose a fretting fatigue life estimation model based on plastic effects and standard surface-to-surface contact theory. The finite element analysis is used to analyze the distribution of equivalent stress and contact stress in the contact area, in order to determine the fatigue risk point of the structure. The accuracy of the model is verified by obtaining the maximum cyclic load stress value through the fretting fatigue experiment. The universal applicability of the model is verified through the dovetail experiment analysis. The experimental results show that the error between the theory and experiment of the proposed estimation model is below 12%. Therefore, it is suitable for the estimation of the fretting fatigue life of the dovetail structure.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Data availability

The data will be available on reasonable request to the corresponding author.

Abbreviations

D crit :

Critical damage

D :

Damage variable

A :

Undamaged surface cross-section area

à :

Effective load area (which is the actual area)

\(\sigma\) :

Axial stress

\(\tilde{\sigma }\) :

Effective stress

\(\varepsilon\) :

Strain

F :

Force

E :

Undamaged elastic modulus

:

Damaged elastic modulus

σ fretting :

Fretting stress

N :

Life

N f :

Remaining life

σ 0 :

Peak axial stress

p h :

Maximum contact area load

μ :

Friction coefficient on the contact surface

F T :

Tangential load amplitude between standard sample and contact pad

F N :

Normal load

σ R :

Material resistance stress

m :

Material parameter

Δε_p :

The maximum plastic strain range

ω :

Is the fitting parameter

K N :

Generalized stress intensity factor of the normal stress distribution

a round :

Load contact area radius

t :

Horizontal contact edge coordinate

R :

Edge radius

E* :

Elastically similar materials

ρ :

Density

f :

Frequency

ν :

Poisson's ratio

References

  1. Pereira K, Abdel Wahab MA (2017) Fretting fatigue crack propagation lifetime prediction in cylindrical contact using an extended MTS criterion for non-proportional loading. Tribol Int 115:525–534. https://doi.org/10.1016/j.triboint.2017.06.026

    Article  Google Scholar 

  2. Sharma A, Sadeghi F, Sharma A (2020) Experimental investigation of fretting wear of coated spring clip and inlet ring in land-based gas turbines at elevated temperature - ScienceDirect. Wear. https://doi.org/10.1016/j.wear.2020.203200

    Article  Google Scholar 

  3. Lemoine E, Nélias D, Thouverez F, Vincent C (2020) Influence of fretting wear on bladed disks dynamic analysis. Tribol Int. https://doi.org/10.1016/j.triboint.2020.106148

    Article  Google Scholar 

  4. Li ZY, Liu XL, Wu GQ, Sha W (2017) Observation of fretting fatigue cracks of Ti6Al4V titanium alloy. Mater Sci Eng, A 707:51–57. https://doi.org/10.1016/j.msea.2017.09.005

    Article  Google Scholar 

  5. Araújo JA, Almeida GMJ, Ferreira JLA, da Silva CRM, Castro FC (2016) Early cracking orientation under high stress gradients: the fretting case. Int J Fatigue 100:611–618. https://doi.org/10.1016/j.ijfatigue.2016.12.013

    Article  Google Scholar 

  6. Vantadori S, Valeo JV, Zanichelli A (2020) Fretting fatigue and shot peening: a multiaxial fatigue criterion including residual stress relaxation. Tribol Int. https://doi.org/10.1016/j.triboint.2020.106537

    Article  Google Scholar 

  7. Bhatti NA, Abdel Wahab M (2018) Fretting fatigue damage nucleation under out of phase loading using a continuum damage model for non-proportional loading. Tribol Int 121:204–213. https://doi.org/10.1016/j.triboint.2018.01.038

    Article  Google Scholar 

  8. Bhatti NA, Pereira K, Abdel Wahab MA (2017) A continuum damage mechanics approach for fretting fatigue under out of phase loading. Tribol Int 117:39–51. https://doi.org/10.1016/j.triboint.2017.08.009

    Article  Google Scholar 

  9. Arnaud P, Fouvry S (2019) Modeling the fretting fatigue endurance from partial to gross slip: the effect of debris layer - ScienceDirect. Tribol Int. https://doi.org/10.1016/j.triboint.2019.106069

    Article  Google Scholar 

  10. Pinto AL, Araújo JA, Talemi R (2021) Effects of fretting wear process on fatigue crack propagation and life assessment. Tribol Int. https://doi.org/10.1016/j.triboint.2020.106787

    Article  Google Scholar 

  11. Araújo JA, Susmel L, Pires MST, Castro FC (2016) A multiaxial stress-based critical distance methodology to estimate fretting fatigue life. Tribol Int 108:2–6. https://doi.org/10.1016/j.triboint.2016.07.028

    Article  Google Scholar 

  12. Fleury RMN, Hills DA, Barber JR (2016) A corrective solution for finding the effects of edge-rounding on complete contact between elastically similar bodies. Part I: contact law and normal contact considerations. Int J Solids Struct 85–86:89–96. https://doi.org/10.1016/j.ijsolstr.2015.11.031

    Article  Google Scholar 

  13. Mario L, Daniele B (2018) Fretting fatigue analysis of additively manufactured blade root made of intermetallic Ti-48Al-2Cr-2Nb alloy at high temperature. Materials. https://doi.org/10.3390/ma11071052

    Article  Google Scholar 

  14. Liang S, Wei DS, Wang YR (2016) An investigation of fretting fatigue in a circular arc dovetail assembly. Int J Fatigue 82:226–237. https://doi.org/10.1016/j.ijfatigue.2015.07.025

    Article  Google Scholar 

  15. Bhatti NA, Wahab MA (2017) A numerical investigation on critical plane orientation and initiation lifetimes in fretting fatigue under out of phase loading conditions. Tribol Int 115:307–318. https://doi.org/10.1016/j.triboint.2017.05.036

    Article  Google Scholar 

  16. Walvekar AA, Leonard BD, Sadeghi F, Jalalahmadi B, Bolander N (2014) An experimental study and fatigue damage model for fretting fatigue. Tribol Int 79:183–196. https://doi.org/10.1016/j.triboint.2014.06.006

    Article  Google Scholar 

  17. Han Q, Rui S, Qiu W, Su Y, Ma X, He Z, Cui H, Zhang H, Shi HJ (2019) Subsurface crack formation and propagation of fretting fatigue in Ni-based single-crystal superalloys. Fatigue Fract Eng Mater Struct 42(11):2520–2532. https://doi.org/10.1111/ffe.13049

    Article  Google Scholar 

  18. Wei D-S, Shi L, Wang Y-R (2015) Cyclic plastic behavior of dovetail under fretting load. Eng Fail Anal 55:100–114. https://doi.org/10.1016/j.engfailanal.2015.05.009

    Article  Google Scholar 

  19. Gandiolle C, Fouvry S (2015) FEM modeling of crack nucleation and crack propagation fretting fatigue maps: plasticity effect. Wear 330–331:136–144. https://doi.org/10.1016/j.wear.2015.01.037

    Article  Google Scholar 

  20. Hu Z, Lu W, Thouless MD, Barber JR (2016) Effect of plastic deformation on the evolution of wear and local stress fields in fretting. Int J Solids Struct 82:1–8. https://doi.org/10.1016/j.ijsolstr.2015.12.031

    Article  Google Scholar 

  21. Noraphaiphipaksa N, Manonukul A, Kanchanomai C, Mutoh Y (2016) Fretting-contact-induced crack opening/closure behaviour in fretting fatigue. Int J Fatigue 88:185–196. https://doi.org/10.1016/j.ijfatigue.2016.03.029

    Article  Google Scholar 

  22. Tobi ALM, Sun W, Shipway PH (2017) Evolution of plasticity-based wear damage in gross sliding fretting of a Ti-6Al-4V non-conforming contact. Tribol Int 113:474–486. https://doi.org/10.1016/j.triboint.2017.01.010

    Article  Google Scholar 

  23. Mohd Tobi AL, Sun W, Shipway PH (2016) Investigation on the plasticity accumulation of Ti-6Al-4V fretting wear by decoupling the effects of wear and surface profile in finite element modelling. Tribol Int 113:448–459. https://doi.org/10.1016/j.triboint.2016.12.009

    Article  Google Scholar 

  24. Andresen H, Hills DA (2019) A review of partial slip solutions for contacts represented by half-planes including bulk tension and moments. Tribol Int. https://doi.org/10.1016/j.triboint.2019.106050

    Article  Google Scholar 

  25. Hills DA, Thaitirarot A, Barber JR (2012) Correlation of fretting fatigue experimental results using an asymptotic approach. Int J Fatigue. https://doi.org/10.1016/j.ijfatigue.2012.02.006

    Article  Google Scholar 

  26. Nan W, Haitao C, Hongjian Z (2018) High temperature and low cycle fretting fatigue test of tenon joint structure. J Aeronaut Dyn 033(012):3007–3012

    Google Scholar 

  27. Bowei Wu, Hongjian Z, Haitao C (2019) High temperature fretting fatigue life prediction model based on continuum damage mechanics[J]. J Aeronaut Dyn 34(03):151–158

    Google Scholar 

Download references

Funding

This work is supported by NSFC-Liaoning United Key Fund (Grant No. U1708255), National key R & D plan of China (Grant No. 2018YFB1306701), and National Natural Science Foundation of China (Grant No. 51875076).

Author information

Authors and Affiliations

Authors

Contributions

Study design: JH, BY, and JD. Study conduct: JH, BY, and RR. Data collection, analysis and interpretation: BY and RR. Drafting manuscript: JH, BY, and JD. Revising manuscript: JH, BY, and JD. All authors have read and approved the final submitted manuscript.

Corresponding authors

Correspondence to Bowen Yang or Jianghui Dong.

Ethics declarations

Conflict of interest

The authors declare no competing interests.

Additional information

Technical Editor: João Marciano Laredo dos Reis.

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huo, J., Yang, B., Ren, R. et al. Research on fretting fatigue life estimation model considering plastic effect. J Braz. Soc. Mech. Sci. Eng. 44, 112 (2022). https://doi.org/10.1007/s40430-022-03391-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-022-03391-4

Keywords

Navigation