Computation of material parameters of Chaboche kinematic hardening model using Grey wolf optimization and uniaxial ratcheting prediction of SS316 Stainless Steel

International Journal of Mechanical Engineering

© 2019 by SSRG - IJME Journal

Volume 6 Issue 8

Year of Publication : 2019

Authors : Jagabandhu Shit

10.14445/23488360/IJME-V6I8P105

How to Cite?

Jagabandhu Shit, "Computation of material parameters of Chaboche kinematic hardening model using Grey wolf optimization and uniaxial ratcheting prediction of SS316 Stainless Steel," SSRG International Journal of Mechanical Engineering, vol. 6,  no. 8, pp. 33-38, 2019. Crossref, https://doi.org/10.14445/23488360/IJME-V6I8P105

Abstract:

This paper deals with the computation of hardening parameters using the Grey wolf optimization (GWO) approach with finite element (FE) simulation to study the uniaxial ratcheting behavior of SS316 stainless steel. Chaboche's kinematic hardening model is used to predict this kind of cyclic plastic phenomenon of the material. Ratcheting strain occurs even after the saturation of the material. The parameters obtained from a strain-controlled saturated hysteresis loop are used in the material model. The material model is a plugged infinite element commercial package, ABAQUS, for simulation of ratcheting behavior. The finite element simulation is based on the Von-Mises yield function, flow rule, kinematic hardening rule, and yield surface consistency condition. The proposed optimization technique, GWO, is used for material parameters optimization of SS 316 steel. The simulation results are compared to the one obtained using manually determined parameters. The simulation results confirm the potentiality and efficacy of the proposed KHA method.

Keywords:

hardening parameters, Grey wolf optimization, Finite element, ratcheting, Von-Mises yield function.

References:

[1] W. Prager, "A new method of analyzing stresses and strains in work hardening plastic solids," ASME J. Appl. Mech. 23 (1956) 493-496.
[2] P. J. Armstrong and C. O. Frederick, "A mathematical representation of the multiaxialBauschinger effect," GEGB Report RD/B/N (1966) 731-747.
[3] J. L. Chaboche, "Time-independent constitutive theories for cyclic plasticity," Int. J. Plast., 2 (1986) 149-188.
[4] N. Ohno and J. D. Wang, "Transformation of a nonlinear kinematic hardening rule to a multi-surface form under isothermal and nonisothermal conditions," Int. J. Plast. 7 (1991) 879-891.
[5] Burlet, H., Cailletaud, G., 1986. 'Numerical techniques for cyclic plasticity at variable temperature.' Engng. Compt., 3, 143-153.
[6] Chaboche, J.L., 1991.'" On some modifications of kinematic hardening to improve the description of ratcheting effects'. Int. J. Plasticity, 7, 661-678.
[7] Chaboche, J.L., 1994. 'Modeling of ratcheting: evaluation of various approaches.' Eur. J. Mech., A/Solids, 13, 501-518.
[8] Guionnet, C., 1992. 'Modeling of ratcheting in biaxial experiments.' ASME J. Engng. Mater. Techn., 114, 56-62.
[9] Ohno, N., Wang, J.-D., 1993. 'Kinematic hardening rules with critical state of dynamic recovery, part I: formulations and basic features for ratcheting behavior.' Int. J. Plasticity, 9, 375-390.
[10] Hassan, T., and Kyriakides, S. (1994a). 'Ratcheting of Cyclically Hardening and Softening Materials, Part I: Uniaxial Behavior.' International Journal of Plasticity, Vol 10, pp. 149-184.
[11] Hassan, T., and Kyriakides, S. (1994b). 'Ratcheting of Cyclically Hardening and Softening Materials, Part II: Multiaxial Behavior.' International Journal of Plasticity, Vol 10, pp. 185-212.
[12] Delobelle, P., Robinet, P., and Bocher, L. (1995). 'Experimental Study and Phenomenological Modelization of Ratchet Under Uniaxial and Biaxial Loading on an Austenitic Stainless Steel.' International Journal of Plasticity, Vol 11, pp. 295-330.
[13] McDowell, D.L. (1995). 'Stress State Dependence of Cyclic Ratcheting Behavior of Two Rail Steels.' International Journal of Plasticity, Vol 11, pp. 397-421.
[14] Jiang, Y., Sehitoglu, H., 1996a. 'Modeling of cyclic ratcheting plasticity, part I: development of constitutive relations.' ASME J. App. Mech., 63, 720-725.
[15] Ohno, N. (1997). 'Current State of the Art in Constitutive Modeling for Ratcheting.' Proceedings of the 14th International Conference on SMiRT, Lyon, France, pp. 201-212.
[16] M. Franulovic, R. Basan, I. Prebil, "Genetic algorithm in material model parameters identification for low-cycle fatigue," Computational Materials Science, 45 (2) (2009) 505-510.
[17] A. H. Mahmoudi, S. M. Pezeshki-Najafabadi, H. Badnava, Pezeshki-Najafabadi, and H. Badnava, "Parameter determination of Chaboche kinematic hardening model using a multi-objective Genetic Algorithm," Computational Materials Science, 50 (3) (2011) 1114-1122.
[18] B. M. Chaparro, S. Thuillier, L. F. Menezes, P. Y. Manach, J. V. Fernandes, "Material parameters identification: Gradientbased, genetic and hybrid optimization algorithms," Computational Materials Science, 44 (2) (2008) 339-346.
[19] M. Franulovic, R. Basan, B. Krizan, "Kinematic Hardening Parameters Identification concerning Objective Function," International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, 8 (4) (2014) 685-689.
[20] A.H. Gandomi, A.H. Alavi, "Communications in Nonlinear Science and Numerical Simulation, Krill herd": A new bioinspired optimization algorithm, 17 (12) (2012) 4831-4845.