Skip to main content
SpringerLink
Log in

High-temperature fatigue crack propagation study of superalloy GH4169 by single-lens 3D digital image correlation

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

The characterization of fatigue crack propagation behavior is crucial for performance and reliability evaluation of aerospace materials. In this study, high-temperature (maximum: 650°C) fatigue crack propagation experiments of Ni-based superalloy GH4169 were conducted. The bi-prism-based single-lens 3D digital image correlation (BSL 3D DIC) technique was used to in-situ measure the displacement and strain fields near fatigue crack tip. Based on the deformation information, the mode I stress intensity factor range ΔK and the crack opening displacement (COD) were determined for characterizing the crack closure effect. As the major fatigue crack growth model, the parameters of modified Paris’ law were obtained based on the effective stress intensity factor range ΔKeff and the fatigue crack propagation rate (FCPR). Additionally, two kinds of J integrals, JP (path integral method) and JK (stress intensity factor K method), were used to evaluate the small-scale yielding approximation.

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

Similar content being viewed by others

References

  1. Salvati E, O’Connor S, Sui T, et al. A study of overload effect on fatigue crack propagation using EBSD, FIB-DIC and FEM methods. Eng Fract Mech, 2016, 167: 210–223

    Google Scholar 

  2. ASTM E647-15e1. Standard test method for measurement of fatigue crack growth rates. ASTM International, West Conshohocken, PA, 2008

    Google Scholar 

  3. Huang X, Wang L, Hu Y, et al. Fatigue crack propagation behavior of Ni-based superalloys after overloading at elevated temperatures. Prog Nat Sci-Mater Int, 2016, 26: 197–203

    Google Scholar 

  4. Paris P, Erdogan F. A critical analysis of crack propagation laws. J Basic Eng, 1963, 85: 528–533

    Google Scholar 

  5. Nowell D, Paynter R J H, De Matos P F P. Optical methods for measurement of fatigue crack closure: Moiré interferometry and digital image correlation. Fatigue Fract Eng Mater Struct, 2010, 33: 778–790

    Google Scholar 

  6. Larsen J M, Nicholas T. Cumulative-damage modeling of fatigue crack growth in turbine engine materials. Eng Fract Mech, 1985, 22: 713–730

    Google Scholar 

  7. Chudnovsky A. Slow crack growth, its modeling and crack-layer approach: A review. Int J Eng Sci, 2014, 83: 6–41

    MathSciNet  MATH  Google Scholar 

  8. Wolf E. Fatigue crack closure under cyclic tension. Eng Fract Mech, 1970, 2: 37–45

    Google Scholar 

  9. Chang T, Li G, Hou J. Effects of applied stress level on plastic zone size and opening stress ratio of a fatigue crack. Int J Fatigue, 2005, 27: 519–526

    MATH  Google Scholar 

  10. Díaz F, Yates J R, Patterson E A. Some improvements in the analysis of fatigue cracks using thermoelasticity. Int J Fatigue, 2004, 26: 365–376

    Google Scholar 

  11. Kim K S, Kim S C, Shim C S, et al. A study of overload effects on fatigue crack propagation under cyclic loading using ESPI system. In: Lee S S, Yoon D J, Lee J H, et al, eds. Key Engineering Materials, Vols. 270–273. Advances in Nondestructive Evaluation. Jeju Island: Trans Tech Publications, 2004. 709–714

    Google Scholar 

  12. Zhang Q, Jiang Z, Jiang H, et al. On the propagation and pulsation of Portevin-Le Chatelier deformation bands: An experimental study with digital speckle pattern metrology. Int J Plast, 2005, 21: 2150–2173

    Google Scholar 

  13. Jiang Z, Zhang Q, Jiang H, et al. Spatial characteristics of the Portevin-Le Chatelier deformation bands in Al-4at%Cu polycrystals. Mater Sci Eng-A, 2005, 403: 154–164

    Google Scholar 

  14. Mokhtarishirazabad M, Lopez-Crespo P, Moreno B, et al. Optical and analytical investigation of overloads in biaxial fatigue cracks. Int J Fatigue, 2017, 100: 583–590

    Google Scholar 

  15. Xiang G F, Zhang Q C, Liu H W, et al. Time-resolved deformation measurements of the Portevin-Le Chatelier bands. Scripta Mater, 2007, 56: 721–724

    Google Scholar 

  16. Chen J L, Zhang X C, Zhan N. Extended digital image correlation method for micro-region deformation measurement. Sci China Tech Sci, 2011, 54: 1355–1361

    MATH  Google Scholar 

  17. Su Y, Zhang Q, Gao Z, et al. Fourier-based interpolation bias prediction in digital image correlation. Opt Express, 2015, 23: 19242–19260

    Google Scholar 

  18. Gao Y, Cheng T, Su Y, et al. High-efficiency and high-accuracy digital image correlation for three-dimensional measurement. Optics Lasers Eng, 2015, 65: 73–80

    Google Scholar 

  19. Pan B, Tian L, Song X. Real-time, non-contact and targetless mesurement of vertical deflection of bridges using off-axis digital image correlation. NDT E Int, 2016, 79: 73–80

    Google Scholar 

  20. Pan B, Qian K, Xie H, et al. Two-dimensional digital image correlation for in-plane displacement and strain measurement: A review. Meas Sci Technol, 2009, 20: 062001

    Google Scholar 

  21. Riddell W T, Piascik R S, Sutton M A, et al. Determining fatigue crack opening loads from near-crack-tip displacement measurements. In: McClung R, Newman J, eds. Advances in Fatigue Crack Closure Measurementand Analysis: Second Volume. WestConshohocken, PA: ASTM International, 1999. 157–174

    Google Scholar 

  22. Sutton M A, Zhao W, McNeill S R, et al. Local crack closure measurements: Development of a measurement system using computer vision and a far-field microscope. In: McClung R, Newman J, eds. Advances in Fatigue Crack Closure Measurement and Analysis: Second Volume. West Conshohocken, PA: ASTM International, 1999. 145–156

    Google Scholar 

  23. Hu D, Mao J, Song J, et al. Experimental investigation of grain size effect on fatigue crack growth rate in turbine disc superalloy GH4169 under different temperatures. Mater Sci Eng-A, 2016, 669: 318–331

    Google Scholar 

  24. Nowell D, Kartal M E, De Matos P F P. Digital image correlation measurement of near-tip fatigue crack displacement fields: Constant amplitude loading and load history effects. Fatigue Fract Eng Mater Struct, 2013, 36: 3–13

    Google Scholar 

  25. O’Connor S J, Nowell D, Dragnevski K I. Measurement of fatigue crack deformation on the macro- and micro-scale: Uniform and non-uniform loading. Int J Fatigue, 2016, 89: 66–76

    Google Scholar 

  26. Rabbolini S, Pataky G J, Sehitoglu H, et al. Fatigue crack growth in Haynes 230 single crystals: An analysis with digital image correlation. Fatigue Fract Engng Mater Struct, 2015, 38: 583–596

    Google Scholar 

  27. Mao W G, Chen J, Si M S, et al. High temperature digital image correlation evaluation of in-situ failure mechanism: An experimental framework with application to C/SiC composites. Mater Sci Eng-A, 2016, 665: 26–34

    Google Scholar 

  28. Pan B, Wu D, Wang Z, et al. High-temperature digital image correlation method for full-field deformation measurement at 1200°C. Meas Sci Technol, 2011, 22: 015701

    Google Scholar 

  29. Pan B, Wu D, Xia Y. High-temperature deformation field measurement by combining transient aerodynamic heating simulation system and reliability-guided digital image correlation. Optics Lasers Eng, 2010, 48: 841–848

    Google Scholar 

  30. Wu L, Zhu J, Xie H, et al. Single-lens 3D digital image correlation system based on a bilateral telecentric lens and a bi-prism: Systematic error analysis and correction. Optics Lasers Eng, 2016, 87: 129–138

    Google Scholar 

  31. Wu L F, Zhu J G, Xie H M, et al. An accurate method for shape retrieval and displacement measurement using bi-prism-based single lens 3D digital image correlation. Exp Mech, 2016, 56: 1611–1624

    Google Scholar 

  32. Wu L, Zhu J, Xie H. Single-lens 3D digital image correlation system based on a bilateral telecentric lens and a bi-prism: Validation and application. Appl Opt, 2015, 54: 7842–7850

    Google Scholar 

  33. Wu L F, Zhu J G, Xie H M. A modified virtual point model of the 3D DIC technique using a single camera and a bi-prism. Meas Sci Technol, 2014, 25: 115008

    Google Scholar 

  34. Wu L F, Yin Y J, Zhang Q, et al. Bi-prism-based single-lens three dimensional digital image correlation system with a long working distance: Methodology and application in extreme high temperature deformation test. Sci China Tech Sci, 2018, 61: 37–50

    Google Scholar 

  35. Wu L F. Research on the bi-prism-based single lens three dimensional digital image correlation method (in Chinese). Dissertation of Doctoral Degree. Beijing: Tsinghua University, 2017

    Google Scholar 

  36. Yin Y, Wu L, Li J, et al. High-temperature fracture mechanics parameter measurement and yielding zone analysis of superalloy GH4169 based on single-lens 3D digital image correlation. Exp Mech, 2019, doi: https://doi.org/10.1007/s11340-019-00490-7

  37. Yin Y J, Xie H M, He W. In situ SEM-DIC technique and its application to characterize the high-temperature fatigue crack closure effect. Sci China Tech Sci, 2019, doi: https://doi.org/10.1007/s11431-018-9477-6

  38. Gao H L, Jiang W, Liu H, et al. The measurement of the fatigue crack-tip displacement and strain fields under high frequency resonant loading applying DIC method. In: Yan G, ed. Applied Mechanics and Materials, Vol 710. Innovations in Material Science, Applied Mechanics, Control and Information Technologies. Switzerland: Trans Tech Publications, 2015. 83–90

    Google Scholar 

  39. de Matos P F P, Nowell D. Experimental and numerical investigation of thickness effects in plasticity-induced fatigue crack closure. Int J Fatigue, 2009, 31: 1795–1804

    Google Scholar 

  40. Carroll J, Efstathiou C, Lambros J, et al. Investigation of fatigue crack closure using multiscale image correlation experiments. Eng Fract Mech, 2009, 76: 2384–2398

    Google Scholar 

  41. Yoneyama S, Morimoto Y, Takashi M. Automatic evaluation of mixed-mode stress intensity factors utilizing digital image correlation. Strain, 2006, 42: 21–29

    Google Scholar 

  42. Yates J R, Zanganeh M, Tai Y H. Quantifying crack tip displacement fields with DIC. Eng Fract Mech, 2010, 77: 2063–2076

    Google Scholar 

  43. Hosdez J, Witz J F, Martel C, et al. Fatigue crack growth law identification by digital image correlation and electrical potential method for ductile cast iron. Eng Fract Mech, 2017, 182: 577–594

    Google Scholar 

  44. Gonzáles G L G, González J A O, Castro J T P, et al. A J-integral approach using digital image correlation for evaluating stress intensity factors in fatigue cracks with closure effects. Theor Appl Fract Mech, 2017, 90: 14–21

    Google Scholar 

  45. Malitckii E, Remes H, Lehto P, et al. Strain accumulation during microstructurally small fatigue crack propagation in bcc Fe-Cr ferritic stainless steel. Acta Mater, 2018, 144: 51–59

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Key Laboratory of Applied Mechanics, School of Aerospace Engineering, Tsinghua University, Beijing, 100084, China

    YuanJie Yin, Wei He, HuiMin Xie & LiFu Wu

Authors
  1. YuanJie Yin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wei He
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. HuiMin Xie
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. LiFu Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Wei He or HuiMin Xie.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11672153 & 11802156), and the China Postdoctoral Science Foundation (Grant No. 2018M641331).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yin, Y., He, W., Xie, H. et al. High-temperature fatigue crack propagation study of superalloy GH4169 by single-lens 3D digital image correlation. Sci. China Technol. Sci. 63, 693–704 (2020). https://doi.org/10.1007/s11431-019-9525-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-019-9525-3

Keywords

Search

Navigation