Skip to main content
SpringerLink
Log in

Compliance-based testing method for fatigue crack propagation rates of mixed-mode I–II cracks

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

Abstract

Mixed-mode I-II crack-based fatigue crack propagation (FCPI-II) usually occurs in engineering structures; however, no theoretical formula or effective compliance test methods have been established for FCPI-II to date. For mixed-mode I-II flawed components, based on the principle of mean-value energy equivalence, we propose a theoretical method to describe the relationship between material elastic parameters, geometrical dimensions, load (or displacement), and energy. Based on the maximum circumferential stress criterion, we propose a uniform compliance model for compact tensile shear (CTS) specimens with horizontal cracks deflecting and propagating (flat-folding propagation) under different loading angles, geometries, and materials. Along with an innovative design of the fixture of CTS specimens used for FCPI-II tests, we develop a new compliance-based testing method for FCPI-II. For the 30Cr2Ni4MoV rotor steel, the FCP rates of mode I, mode II, and mixed-mode I-II cracks were obtained via FCP tests using compact tension, Arcan, and CTS specimens, respectively. The obtained da/dN versus ΔJ curves of the FCP rates are close. The loading angle α and dimensionless initial crack length a0/W demonstrated negligible effects on the FCP rates. Hence, the FCP rates of mode I crack can be used to predict the residual life of structural crack propagation.

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. Richard H A. Specimens for investigating biaxial fracture and fatigue processes. In: Biaxial and Multiaxial Fatigue (EGF 3). Hoboken: John Wiley & Sons, Inc., 1989. 217–228

    Google Scholar 

  2. Mahanty D K, Maiti S K. Experimental and finite element studies on mode I and mixed mode (I and II) stable crack growth—I. Experimental. Eng Fract Mech, 1990, 37: 1237–1250

    Article  Google Scholar 

  3. Buzzard R J, Gross B, Srawley J E. Mode II fatigue crack growth specimen development. In: Proceedings of National Symposium on Fracture Mechanics. Albany, 1983. 329–346

  4. Otsuka A, Tohgo K, Matsuyama H. Fatigue crack initiation and growth under mixed mode loading in aluminum alloys 2017-T3 and 7075-T6. Eng Fract Mech, 1987, 28: 721–732

    Article  Google Scholar 

  5. Richard H A, Benitz K. A loading device for the creation of mixed mode in fracture mechanics. Int J Fract, 1983, 22: R55–R58

    Article  Google Scholar 

  6. Richard H A. Fracture Mechanical Predictions for Cracks with Superimposed Normal and Shear Loading. Düsseldorf: VDI-Verlag, 1985

    Google Scholar 

  7. Heirani H, Farhangdoost K. Mixed mode I/II fatigue crack growth under tensile or compressive far-field loading. Mater Res Express, 2017, 4: 116505

    Article  Google Scholar 

  8. Heirani H, Farhangdoost K. Effect of compressive mode I on the mixed mode I/II fatigue crack growth rate of 42CrMo4. J Materi Eng Perform, 2018, 27: 138–146

    Article  Google Scholar 

  9. Kim J K, Kim C S. Fatigue crack growth behavior of rail steel under mode I and mixed mode loadings. Mater Sci Eng-A, 2002, 338: 191–201

    Article  Google Scholar 

  10. Peixoto D F C, de Castro P M S T. Mixed mode fatigue crack propagation in a railway wheel steel. Procedia Struct Integrity, 2016, 1: 150–157

    Article  Google Scholar 

  11. Arcan M, Hashin Z, Voloshin A. A method to produce uniform plane-stress states with applications to fiber-reinforced materials. Exp Mech, 1978, 18: 141–146

    Article  Google Scholar 

  12. Erdogan F, Sih G C. On the crack extension in plates under plane loading and transverse shear. J Basic Eng, 1963, 85: 519–525

    Article  Google Scholar 

  13. Richard H A, Fulland M, Sander M. Theoretical crack path prediction. Fat Frac Eng Mat Struct, 2005, 28: 3–12

    Article  Google Scholar 

  14. Richard H A, Schöllmann M, Fulland M, et al. Experimental and numerical simulation of mixed mode crack growth. In: Proceedings of the 6th International Conference on Biaxial/multiaxial Fatigue & Fracture. Lisbon, 2001. 623–30

  15. Guo Y, Li Q. Material configurational forces applied to mixed mode crack propagation. Theor Appl Fract Mech, 2017, 89: 147–157

    Article  Google Scholar 

  16. Eshelby J D. The elastic energy-momentum tensor. J Elasticity, 1975, 5: 321–335

    Article  MathSciNet  Google Scholar 

  17. Chen H, Cai L. Theoretical model for predicting uniaxial stress-strain relation by dual conical indentation based on equivalent energy principle. Acta Mater, 2016, 121: 181–189

    Article  Google Scholar 

  18. Chen H, Cai L. Unified elastoplastic model based on a strain energy equivalence principle. Appl Math Model, 2017, 52: 664–671

    Article  MathSciNet  Google Scholar 

  19. Chen H, Cai L. An elastoplastic energy model for predicting the deformation behaviors of various structural components. Appl Math Model, 2019, 68: 405–421

    Article  MathSciNet  Google Scholar 

  20. Qi S, Cai L X, Bao C, et al. Analytical theory for fatigue crack propagation rates of mixed-mode I–II cracks and its application. Int J Fatigue, 2019, 119: 150–159

    Article  Google Scholar 

  21. Rice J R. A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech, 1968, 35: 379–386

    Article  Google Scholar 

  22. Tanaka K. Fatigue crack propagation from a crack inclined to the cyclic tensile axis. Eng Fract Mech, 1974, 6: 493–507

    Article  Google Scholar 

  23. Shih C F. Elastic-plastic analysis of combined mode crack problems. Dissertation for Doctoral Degree. Cambridge: Harvard University. 1973. 1–3

    Google Scholar 

  24. Irwin G R. Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech, 1957, 24: 361–364

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Shuang Qi, LiXun Cai & XiaoKun Liu

  2. Taishan Nuclear Power Joint Venture Co., Ltd., Jiangmen, 529200, China

    Shuang Qi, WenXin Xiang, ChunBing Shao & FangMao Ning

  3. Power Plant Life Management Research Center, Suzhou Nuclear Power Research Institute, Suzhou, 215004, China

    Shuang Qi, JinHua Shi & WeiWei Yu

Authors
  1. Shuang Qi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. WenXin Xiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. LiXun Cai
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. XiaoKun Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. ChunBing Shao
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. FangMao Ning
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. JinHua Shi
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. WeiWei Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Shuang Qi or LiXun Cai.

Additional information

This work was supported by the National Key Research and Development Program of China (Grant No. 2017YFB0702200), the National Natural Science Foundation of China (Grant No. 11872320), and the Policy Guidance Program of Jiangsu Province (Grant No. BZ2020057).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Qi, S., Xiang, W., Cai, L. et al. Compliance-based testing method for fatigue crack propagation rates of mixed-mode I–II cracks. Sci. China Technol. Sci. 64, 2577–2585 (2021). https://doi.org/10.1007/s11431-020-1872-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-020-1872-8

Keywords

Search

Navigation