Skip to main content
Log in

Numerical Simulation of Fatigue Damage and Shape Instability Behavior of Steel 40Cr by the Damage-Coupled Crystal Plastic Model

  • Published:
Strength of Materials Aims and scope

A representative volume element is developed based on the Voronoi tessellation to reveal the mechanism of shape instability behavior. In the model, a damage-coupled crystal plastic model is established to describe the shape instability behavior. The heterogeneity of materials is introduced into the model with the aim of simulating the microstructure of materials. The experimental and simulation results show that the fatigue damage in the elastic deformation stage with high cyclic stress level is the initial motivation of shape instability behavior. The cyclic softening and ratcheting properties of materials accelerate the plastic strain accumulated rate.

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.

Similar content being viewed by others

References

  1. Y. F. Li, X. D. Pan, and G. L. Wang, “Low cycle fatigue and ratcheting properties of steel 40Cr under stress controlled tests,” Int. J. Fatigue, 55, 74–80 (2013).

    Article  Google Scholar 

  2. S. J. Park., K. S. Kim, and H. S. Kim, “Ratcheting behaviour and mean stress considerations in uniaxial low-cycle fatigue of Inconel 718 at 649°C,” Fatigue Fract. Eng. Mater. Struct., 30, 1076–1083 (2007).

    Article  Google Scholar 

  3. C. B. Lim, K. S. Kim, and J. B. Seong, “Ratcheting and fatigue behavior of a copper alloy under uniaxial cyclic loading with mean stress,” Int. J. Fatigue, 31, 501–507 (2009).

    Article  Google Scholar 

  4. G. Z. Kang, Y. J. Liu, J. Ding, and Q. Gao, “Uniaxial ratcheting and fatigue failure of tempered 42CrMo steel: Damage evolution and damage-coupled viscoplastic constitutive model,” Int. J. Plasticity, 25, 838–860 (2009).

    Article  Google Scholar 

  5. H. Lim, J. D. Carroll, C. C. Battaile, et al., “Grain-scale experimental validation of crystal plasticity finite element simulations of tantalum oligocrystals,” Int. J. Plasticity, 60, 1–18 (2014).

    Article  Google Scholar 

  6. D. Yu, K. An, Y. Chen, and X. Chen, “Revealing the cyclic hardening mechanism of an austenitic stainless steel by real-time in situ neutron diffraction,” Scripta Mater., 89, 45–48 (2014).

    Article  Google Scholar 

  7. S. Keshavarz and S. Ghosh, “Multi-scale crystal plasticity finite element model approach to modeling nickel-based superalloys,” Acta Mater., 61, 6549–6591 (2013).

    Article  Google Scholar 

  8. M. Naderi, S. H. Hoseini, and M. M. Khonsari, “Probabilistic simulation of fatigue damage and life scatter of metallic components,” Int. J. Plasticity, 43, 101–115 (2013).

    Article  Google Scholar 

  9. S. Ghosh and M. Anahid, “Homogenized constitutive and fatigue nucleation models from crystal plasticity FE simulations of Ti alloys, Part 1: Macroscopic anisotropic yield function,” Int. J. Plasticity, 47, 182–201 (2013).

    Article  Google Scholar 

  10. C. O. Frederick and P. J. Armstrong, A Mathematical Representation of the Multiaxial Bauschinger Effect, Report RD/B/N 731, Central Electricity Generating Board (1966).

  11. N. Ohno and J.-D. Wang, “Kinematic hardening rules with critical state of dynamic recovery, part I: formulation and basic features for ratchetting behavior,” Int. J. Plasticity, 9, 375–389 (1993).

    Article  Google Scholar 

  12. N. Ohno and J.-D. Wang, “Kinematic hardening rules with critical state of dynamic recovery, part II: Application to experiments of ratchetting behavior,” Int. J. Plasticity, 9, 391–403 (1993).

    Article  Google Scholar 

  13. J. Lemaitre and J. L. Chaboche, Mechanics of Solid Materials, Cambridge University Press, Cambridge (1990).

    Book  Google Scholar 

  14. G. Z. Kang, Q. Gao, L. X. Cai, and Y. F. Sun, “Experimental study on uniaxial and nonproportionally multiaxial ratcheting of SS304 stainless steel at room and high temperatures,” Nucl. Eng. Des., 216, 13–26 (2002).

    Article  Google Scholar 

  15. F. Bogard, P. Lestriez, and Y. Q. Guo, “Damage and rupture simulation of mechanical parts under cyclic loading,” J. Eng. Mater. Technol., 132, 0210031–0210038 (2010).

    Article  Google Scholar 

  16. G. Sines and G. Ohgi, “Fatigue criteria under combined stressee or straine,” J. Eng. Mater. Technol., 103, 82–90 (1981).

    Article  Google Scholar 

  17. Y. Liu and D. Chen, “Measurement of material mechanical properties using nanoindentation and finite element simulation,” J. Wuhan Univ. Technol., 27, 690–693 (2003).

    Google Scholar 

  18. N. Ohno, “Constitutive modeling of cyclic plasticity with emphasis on ratcheting,” Int. J. Mech. Sci., 40, 251–261 (1998).

    Article  Google Scholar 

  19. N. Ohno, M. Abdel-Karim, M. Kobayashi, and T. Igari, “Ratchetting characteristics of 316FR steel at high temperature, part I: strain-controlled ratchetting experiments and simulations,” Int. J. Plasticity, 14, 355–372 (1998).

    Article  Google Scholar 

  20. N. Ohno and M. Abdel-Karim, “Uniaxial ratchetting of 316FR steel at room temperature – Part II: Constitutive modeling and simulation,” J. Eng. Mater. Technol., 122, 35–41 (2000).

    Article  Google Scholar 

Download references

Acknowledgments

This study is supported by the National Natural Science Foundation of China (51405101), the research and innovation fund of Harbin Institute of Technology (Grant Number HIT.NSRIF.2015 053), the China Postdoctoral Science Foundation (Grant Numbers 2014M561340 and 2016T90277) and Heilongjiang Postdoctoral Fund (Grant Number LBH-Z14100).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Y. F. Li.

Additional information

Translated from Problemy Prochnosti, No. 1, pp. 132 – 139, January – February, 2017.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wu, G.C., Li, Y.F., Pan, X.D. et al. Numerical Simulation of Fatigue Damage and Shape Instability Behavior of Steel 40Cr by the Damage-Coupled Crystal Plastic Model. Strength Mater 49, 118–124 (2017). https://doi.org/10.1007/s11223-017-9849-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11223-017-9849-5

Keywords

Navigation