Cyclic hardening and softening of high-strength steels

Authors

  • Norhaida Ab Razak Faculty of Mechanical and Automotive Engineering Technology, Universiti Malaysia Pahang Al-Sultan Abdullah, 26600 Pekan, Pahang, Malaysia
  • Nasrul Azuan Alang Faculty of Mechanical and Automotive Engineering Technology, Universiti Malaysia Pahang Al-Sultan Abdullah, 26600 Pekan, Pahang, Malaysia
  • Nurizzatul Atikha Rahmat Faculty of Mechanical and Automotive Engineering Technology, Universiti Malaysia Pahang Al-Sultan Abdullah, 26600 Pekan, Pahang, Malaysia

DOI:

https://doi.org/10.15282/jmes.20.1.2026.3.0863

Keywords:

low cycle , cyclic hardening, cyclic softening

Abstract

316L and P91 steels, commonly used for high-temperature applications in power plants, experience low-cycle fatigue. In this work, the cyclic stress-strain behaviour of 316L and P91 materials was analyzed. Experimental data from the material's hysteresis loops and cyclic stress response were used to derive material parameters for numerical simulation of the cyclic behaviour. The displacement-controlled model with strain amplitudes of 0.4% and 0.6% and a constant strain rate of 0.001 s-1 was used in the simulation. The simulation results show that 316L stainless steel exhibits cyclic hardening, with the maximum stress increasing from 311.3 MPa in the first cycle to 354.7 MPa at the half-cycle, corresponding to approximately 14% cyclic hardening. In contrast, P91 steel exhibits cyclic softening of about 8.3%, as the stress decreases from 497.9 MPa in the first cycle to 456.7 MPa at the half cycle. The findings also demonstrated that tension and compression loadings with larger strain amplitudes produced higher maximum stress. It also demonstrates that higher strain amplitudes result in a greater decrease in stress near the half cycle because hardening/softening is more pronounced at higher strain amplitudes.

References

[1] A. Shibli and F. Starr, “Some aspects of plant and research experience in the use of new high-strength martensitic steel P91,” International Journal of Pressure Vessels and Piping, vol. 84, no. 1, pp. 114–122, 2007.

[2] V. Shankar, K. Mariappan, R. Sandhya, and K. Laha, “Understanding low cycle fatigue and creep–fatigue interaction behavior of 316 L(N) stainless steel weld joint,” International Journal of Fatigue, vol. 82, pp. 487–496, 2016.

[3] D. W. Hoeppner, “Cyclic Loading and Cyclic Stress,” in Encyclopedia of Tribology, Q. J. Wang and Y.-W. Chung, Eds., Boston, MA: Springer US, 2013, pp. 691–698.

[4] V. S. Srinivasan, M. Valsan, R. Sandhya, K. Bhanu Sankara Rao, S. L. Mannan, and D. H. Sastry, “High temperature time-dependent low cycle fatigue behaviour of a type 316L(N) stainless steel,” International Journal of Fatigue, vol. 21, no. 1, pp. 11–21, 1999.

[5] L. Zhao, Y. Song, L. Xu, Y. Han, and K. Hao, “Investigation of the high-temperature low-cycle fatigue failure characteristics of p91 steel weld joints and their fatigue strength reduction factors under various load control regimes,” International Journal of Fatigue, vol. 180, Art. no. 108085, 2024.

[6] G. Golański and S. Mroziński, “Low cycle fatigue and cyclic softening behaviour of martensitic cast steel,” Engineering Failure Analysis, vol. 35, pp. 692–702, 2013.

[7] N. A. A. Razak, Creep and creep fatigue interaction in new and service-exposed P91 steel. Imperial College London, 2018. [Online]. Available: https://books.google.com.my/books?id=_D7vzQEACAAJ

[8] W. Prager, “A new method of analyzing stresses and strains in work-hardening plastic solids,” Journal of Applied Mechanics, vol. 23, no. 4, pp. 493–496, 2021.

[9] A. F. Fossum, “Parameter estimation for an internal variable model using nonlinear optimization and analytical/numerical response sensitivities,” Journal of Engineering Materials and Technology, vol. 119, no. 4, pp. 337–345, 1997.

[10] J. L. Chaboche and G. Rousselier, “On the Plastic and Viscoplastic Constitutive Equations—Part I: Rules Developed with Internal Variable Concept,” Journal of Pressure Vessel Technology, Transactions of the ASME, vol. 105, no. 2, pp. 153–158, 1983.

[11] J. L. Chaboche and G. Rousselier, “On the plastic and viscoplastic constitutive equations- Part II: Application of internal variable concepts to the 316 stainless steel,” Journal of Pressure Vessel Technology, Transactions of the ASME, vol. 105, no. 2, pp. 159–164, 1983.

[12] G. Dundulis, R. Janulionis, A. Grybėnas, V. Makarevičius, and R. Dundulis, “Numerical and experimental investigation of low cycle fatigue behaviour in P91 steel,” Engineering Failure Analysis, vol. 79, pp. 285–295, 2017.

[13] B. Das, A. Bakkar, N. Khutia, and D. Das, “Low cycle fatigue performance evaluation of TMT rebar,” Materials Today: Proceedings, vol. 4, no. 2, Part A, pp. 2554–2563, 2017.

[14] P. Kubaschinski, A. Gottwalt, U. Tetzlaff, H. Altenbach, and M. Waltz, “Calibration of a combined isotropic-kinematic hardening material model for the simulation of thin electrical steel sheets subjected to cyclic loading,” Materwiss. Werksttech., vol. 53, no. 4, pp. 422–439, 2022.

[15] M. Subasic, A. Ireland, R. Mansour, et al., “Experimental investigation and numerical modelling of the cyclic plasticity and fatigue behavior of additively manufactured 316 L stainless steel,” International Journal of Plasticity, vol. 176, Art. no. 103966, 2024.

[16] E. Cho and S. W. Han, “A numerical model simulating cyclic behavior of high-strength steel,” Advances in Structural Engineering, vol. 27, no. 9, pp. 1490–1508, 2024.

[17] M. H. Joudivand Sarand and I. B. Misirlioglu, “A physics-based plasticity study of the mechanism of inhomogeneous strain evolution in dual phase 600 steel,” International Journal of Plasticity, vol. 174, Art. no. 103918, 2024.

[18] S. C. Roy, S. Goyal, R. Sandhya, and S. K. Ray, “Low cycle fatigue life prediction of 316 L(N) stainless steel based on cyclic elasto-plastic response,” Nuclear Engineering and Design, vol. 253, pp. 219–225, 2012.

[19] Abaqus, “Abaqus models for metals subjected to cyclic loading,” 2016.

[20] J. L. Chaboche, “Time-independent constitutive theories for cyclic plasticity,” International Journal of Plasticity, vol. 2, no. 2, pp. 149–188, 1986.

[21] M. A. A. Roslin, N. Ab Razak, N. A. Alang, and N. Sazali, “Numerical Simulation of P91 Steel Under Low-Cycle-Fatigue Loading,” Journal of Failure Analysis and Prevention, vol. 23, no. 2, pp. 520–528, 2023.

[22] V. S. Srinivasan, R. Sandhya, K. Bhanu Sankara Rao, S. L. Mannan, and K. S. Raghavan, “Effects of temperature on the low cycle fatigue behaviour of nitrogen alloyed type 316L stainless steel,” International Journal of Fatigue, vol. 13, no. 6, pp. 471–478, 1991.

[23] B. Fournier, F. Dalle, M. Sauzay, J. Longour, M. Salvi, C. Caës et al., “Comparison of various 9–12%Cr steels under fatigue and creep-fatigue loadings at high temperature,” Materials Science and Engineering: A, vol. 528, nos. 22–23, pp. 6934–6945, 2011.

[24] S. K. Basantia, A. Bhattacharya, N. Khutia, and D. Das, “Plastic Behavior of Ferrite–Pearlite, Ferrite–Bainite and Ferrite–Martensite Steels: Experiments and Micromechanical Modelling,” Metals and Materials International, vol. 27, no. 5, pp. 1025–1043, 2021.

[25] P. Lehner, B. Blinn, and T. Beck, “Changes in microstructure and mechanical properties of ferritic high chromium steel and P91 induced by isothermal fatigue,” Materials Science and Engineering: A, vol. 923, Art. no. 147713, 2025.

Downloads

Published

2026-03-31

Issue

Section

Article

How to Cite

[1]
N. Ab Razak, N. A. Alang, and N. A. Rahmat, “Cyclic hardening and softening of high-strength steels”, J. Mech. Eng. Sci., vol. 20, no. 1, pp. 11052–11059, Mar. 2026, doi: 10.15282/jmes.20.1.2026.3.0863.

Similar Articles

1-10 of 211

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)