A Cyclic Softening Plastic Model of Carbon Steel 45 under Uniaxial Cyclic Straining


Article Preview

Based on the characteristic of cyclic softening of the quenched and tempered Carbon steel 45, a cyclic plastic constitutive model was proposed to describe the cyclic behavior under symmetrical and unsymmetrical strain cycling with different strain amplitudes. In this model, the phenomenon of the decrease of the up yield limit stress with the increase of strain in the initial 1/4 cycle was taken into account. The proposed evolution equations of the yield size and backstress can simulate the cycling softening under symmetrical and unsymmetrical strain cycling well. The results indicated that either the simulated shape of the cyclic softening hysteresis loops or the evolution of stress amplitude with the increase of the cyclic number during the low cycle fatigue coincides with the experimental ones very well.



Advanced Materials Research (Volumes 343-344)

Edited by:

David Wang




Y. Luo "A Cyclic Softening Plastic Model of Carbon Steel 45 under Uniaxial Cyclic Straining", Advanced Materials Research, Vols. 343-344, pp. 85-91, 2012

Online since:

September 2011





[1] X.J. Yang: Low cycle fatigue and cyclic stress ratcheting failure behavior of Carbon steel 45 under uniaxial cyclic loading, International Journal of Fatigue, 2005, 27: 1124-1132.

DOI: https://doi.org/10.1016/j.ijfatigue.2005.01.004

[2] X.J. Yang, Y. Luo, Q. Gao et al. An experimental study on the evolution of kinematic hardening for the strain cyclic and ratcheting deformations of 45 carbon steel [J]. ACTA Metallurgica Sinica, 2005, 41(2): 133-139.

[3] T. Hassan, S. Kyriakides. Ratcheting of cyclically hardening and softening materials, part I: Uniaxial behavior [J]. Int.J. Plasticity, 1994, 10: 149~184.

DOI: https://doi.org/10.1016/0749-6419(94)90033-7

[4] J.L. Chaboch, D. Nouailhas. Constitutive modeling of ratcheting effects, part I: Experimental facts and properties of classical models[J]. ASME J Eng Mater Technol, 1989, 111(4): 384-392.

DOI: https://doi.org/10.1115/1.3226484

[5] X.H. Peng, Z.H. Gao, M. T Ma et al. Experimental investigation to nonproportional cyclic plasticity of 40CrA steel [J]. Journal of Chongqing University, 1994, 17(2): 17-25.

[6] X.J. Yang, Q. Gao, L.X. Cai et al. Properties of plastic flow of steel 42CrMo under nonproportional cyclic loading [J]. ACTA Metallurgica Sinica, 1995, 31(4): 170-176.

[7] M. Yaguchi, Y. Takahashi. Rachetting of viscoplastic material with cyclic softening, part1: experiments on modified 9Cr-1Mo steel [J]. Int. J. Plasticity, 2005, 21: 43-65.

DOI: https://doi.org/10.1016/j.ijplas.2004.02.001

[8] M. Yaguchi, Y. Takahashi. Rachetting of viscoplastic material with cyclic softening, part2: application of constitutive models [J]. Int. J. Plasticity, 2005, 21: 835-860.

DOI: https://doi.org/10.1016/j.ijplas.2004.05.012

[9] X.J. Yang. A viscoplastic model for 316L stainless steel under uniaxial cyclic straining and stressing at room temperature [J] . Mechanics of Materials. 2004, 36: 1073-1086.

DOI: https://doi.org/10.1016/j.mechmat.2003.08.008

[10] X.J. Yang. Constitutive description of temperature-dependent nonproportional cyclic viscoplasticity [J]. ASME Journal of Engineering Materials and Technology, 1997, 119: 12-19.

DOI: https://doi.org/10.1115/1.2805966

Fetching data from Crossref.
This may take some time to load.