PSI - Issue 23

Atri Nath et al. / Procedia Structural Integrity 23 (2019) 263–268 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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materials. Thus, it can be inferred that the evolution of backstress is typically linear for the investigated non-ferrous materials. In contrast, the non-linear second backstress component ( α 2 ) has a higher contribution for ferrous materials, i.e., the backstress evolution is primarily non-linear. The individual backstress evolutions related to the kinematic hardening are associated with the underlying deformation mechanism of the material (Chaboche, 1991), and this is reflected from the comparison of the contribution of the different backstress components.

Fig. 5: Comparison of backstress contribution to plastic deformation for the investigated materials

5. Conclusions

This work presents a generalized approach based on combined isotropic-kinematic hardening model to simulate the deformation behavior of cyclically stable ferrous and non-ferrous materials. The proposed methodology provides a single set of hardening parameters obtained using genetic algorithm optimization technique which is used to simulate the response of cyclically stable materials under both monotonic and cyclic loading conditions. The proposed methodology is found to provide better accuracy in simulating the cyclic-plastic response of both ferrous and non ferrous materials. A marked difference in the contribution of the backstresses to plastic response for ferrous and non ferrous materials is noted. The difference is attributed to the underlying deformation characteristics dictated by the substructure and microstructure of the investigated materials. The results indicate that (i) the fourth backstress component of the kinematic hardening and (ii) the linear components of the third and fourth backstress parameters, provide significantly higher predominance towards plastic deformation response for non-ferrous materials than that for ferrous materials. Agius, D., Kourousis, K.I., Wallbrink, C., Hu, W., Wang, C.H., Dafalias, Y.F., 2017. Aluminum Alloy 7075 Ratcheting and Plastic Shakedown Evaluation with the Multiplicative Armstrong – Frederick Model. AIAA Journal 55, 2461 – 2470. Bari, S., Hassan, T., 2000. Anatomy of coupled constitutive models for ratcheting simulation. International Journal of Plasticity 16, 381 – 409. Chaboche, J.L., 1991. On some modifications of kinematic hardening to improve the description of ratchetting effects. International Journal of Plasticity 7, 661 – 678. Hassan, T., Kyriakides, S., 1992. Ratcheting in cyclic plasticity, part I: Uniaxial behavior. International Journal of Plasticity 8, 91 – 116. Kan, Q.H., Yan, W.Y., Kang, G.Z., Guo, S.J., 2011. Experimental Observation on the Uniaxial Cyclic Deformation Behaviour of TA16 Titanium Alloy. Advanced Materials Research 415 – 417, 2318 – 2321. Kourousis, K.I., 2013. A Cyclic Plasticity Model for Advanced Light Metal Alloys. Applied Mechanics and Materials 391, 3 – 8. Nath, A., Ray, K.K., Barai, S. V., 2019. Evaluation of ratcheting behaviour in cyclically stable steels through use of a combined kinematic isotropic hardening rule and a genetic algorithm optimization technique. International Journal of Mechanical Sciences 152, 138 – 150. Paul, S.K., Sivaprasad, S., Dhar, S., Tarafder, M., Tarafder, S., 2010. Simulation of cyclic plastic deformation response in SA333 C – Mn steel by a kinematic hardening model. Computational Materials Science 48, 662 – 671. Ramezansefat, H., Shahbeyk, S., 2015. The Chaboche hardening rule: A re-evaluation of calibration procedures and a modified rule with an evolving material parameter. Mechanics Research Communications 69, 150 – 158. Sivaprasad, S., Paul, S.K., Gupta, S.K., Bhasin, V., Narasaiah, N., Tarafder, S., 2010. Influence of uniaxial ratchett ing on low cycle fatigue behviour of SA 333 Gr. 6 C-Mn steel. International Journal of Pressure Vessels and Piping 87, 464 – 469. References