Optimal Calibration of Q235B Steel Johnson-Cook Model Parameters Based on Global Response Surface Algorithm

Abstract

This study investigates the mechanical properties of Q235B steel through quasi-static tests at both room temperature and elevated temperature. The initial values of the Johnson-Cook model parameters are determined using a fitting method. The global response surface algorithm is employed to optimize and calibrate the Johnson-Cook model parameters for Q235B steel under both room temperature and elevated temperature conditions. A simulation model is established at room temperature, and the simulated mechanical performance curves for displacement and stress are monitored. Multiple optimization algorithms are applied to optimize and calibrate the model parameters at room temperature. The global response surface algorithm is identified as the most suitable algorithm for this optimization problem. Sensitivity analysis is conducted to explore the impact of model parameters on the objective function. The analysis indicates that the optimized material model better fits the experimental values, aligning more closely with the actual test results of material strain mechanisms over a wide temperature range.

Keywords

Q235B / Mechanical property test / Numerical simulation / Johnson cook model / Global response surface algorithm

References

[1] Cao J, Yan Z, Xu X (2015) A modified Levenberg-Marquardt approach to explore the limit operation state of AC/DC hybrid system. In: 2015 IEEE Power & Energy Society General Meeting. https://doi.org/10.1109/PESGM.2015.7285610

[2] Guo Q, Zhao Y, Xing Y, Jiao J, Fu B, Wang Y (2022) Experimental and numerical analysis of mechanical behaviors of long-term atmospheric corroded Q235 steel. Structures. Elsevier, 115–131. https://doi.org/10.1016/j.istruc.2022.03.027

[3] Johnson GR (1983) A constitutive model and date for metals subject to large strains, high strain rate and high temperatures. In: Proc. of 7th Int. Symp. on Ballistics, The Hague, 541–547

[4] Li Z, Xu J, Demartino C, Zhang K. Extremely-low cycle fatigue fracture of Q235 steel at different stress triaxialities. Journal of Constructional Steel Research, 2020, 169: 106060

[5] Liu Z, Mao PL, Wang CY. High strain rate compression behavior and constitutive relation of as-extruded Mg-Gd-Y magnesium alloy. Materials Science Forum, 2011, 686: 162-167

[6] Myshlyaev M, Mironov SY, Perlovich YA, Isaenkova M. Analysis of mechanisms of plastic deformation of aluminum-based alloys for different temperature—velocity modes. Doklady Physics, 2010, 55(2): 64-67

[7] Sellars CM, McTegart W. On the mechanism of hot deformation. Acta Metallurgica, 1966, 14(9): 1136-1138

[8] Seo JM, Jeong SS, Kim YJ, Kim JW, Oh CY, Tokunaga H, Miura N. Modification of the Johnson–Cook model for the strain rate effect on tensile properties of 304/316 austenitic stainless steels. Journal of Pressure Vessel Technology, 2022, 144(1): 011501

[9] Steinberg DJ, Cochran S, Guinan MW. A constitutive model for metals applicable at high-strain rate. Journal of applied physics, 1980, 51(3): 1498-1504

[10] Wang Y, Zeng X, Chen H, Yang X, Wang F, Zeng L. Modified Johnson-Cook constitutive model of metallic materials under a wide range of temperatures and strain rates. Results in Physics, 2021, 27: 104498

[11] Wang Z, Hu Z, Liu K, Chen G. Application of a material model based on the Johnson-Cook and Gurson-Tvergaard-Needleman model in ship collision and grounding simulations. Ocean Engineering, 2020, 205: 106768

[12] Zerilli FJ, Armstrong RW. Dislocation-mechanics-based constitutive relations for material dynamics calculations. Journal of Applied Physics, 1987, 61(5): 1816-1825

[13] Zhu S, Liu J, Deng X. Modification of strain rate strengthening coefficient for Johnson-Cook constitutive model of Ti6Al4V alloy. Materials Today Communications, 2021, 26: 102016