Obtaining Constants of Johnson-Cook Material Model Using a Combined Experimental, Numerical Simulation and Optimization Method

Authors: F. Rahimi Dehgolan, M. Behzadi, J. Fathi Sola

Abstract:

In this article, the Johnson-Cook material model’s constants for structural steel ST.37 have been determined by a method which integrates experimental tests, numerical simulation, and optimization. In the first step, a quasi-static test was carried out on a plain specimen. Next, the constants were calculated for it by minimizing the difference between the results acquired from the experiment and numerical simulation. Then, a quasi-static tension test was performed on three notched specimens with different notch radii. At last, in order to verify the results, they were used in numerical simulation of notched specimens and it was observed that experimental and simulation results are in good agreement. Changing the diameter size of the plain specimen in the necking area was set as the objective function in the optimization step. For final validation of the proposed method, diameter variation was considered as a parameter and its sensitivity to a change in any of the model constants was examined and the results were completely corroborating.

Keywords: Constants, Johnson-Cook material model, notched specimens, quasi-static test, sensitivity.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1126143

References:

[1] C. J. Maiden and S. J. Green, Compressive strain-rate tests on six selected materials at strain rates from 10-5 to105s-1, Journal of applied mechanics, Vol. 33 1966 pp. 4961-4970.
[2] U. S. Lindholm, A. Nagy, G. R. Johnson and J. M. Hoegfedt, Large Strain, High Strain Rate Testing of Copper, J. Eng. Mater. Technol 102(4), 376-381 Oct. 1980.
[3] F. E. Hauser, Techniques for measuring stress-strain relations at high strain rates, Exp. Mech., 1966 pp. 395-402.
[4] A. Nadia and M. J. Manjoine, High speed tension tests at elevated temperature-Part I and II, Trans. ASME, 1941 63, A77.
[5] A. Benallal, T. Berstad , An experimental and numerical investigation of the behaviour of AA5083 aluminium alloy in presence of the Portevin–Le Chatelier effect, International Journal of Plasticity 24 2008 1916–1945.
[6] K. M .Zhao, J.K. Lee, finite element analysis of the three-point sheet metals, Journal of material processing technology, 122 2002 6-11.
[7] M. Sasso, G. Newaz, and D. Amodioa, Material characterization at high strain rate by Hopkinson bar tests and finite element optimization, Journal Materials Science and Engineering A 487 2008 289–300.
[8] G. H. Majzoobi, S. F. Z. Khosroshahi, H. B. Mohammadloo, Determination of the Constants of Zerilli-Armstrong Constitutive Relation Using Genetic Algorithm, Advanced Materials Research, Vols. 264-265, pp. 862-870, Jun. 2011.
[9] G. H. Majzoobi, F. Rahimi Dehgolan, Determination of the constants of damage models, Procedia Engineering 10 2011 764—773.
[10] F. J. Zerilli and R. W.Armstrong, Dislocation-mechanics-based constitutive relation for material dynamic calculation, journal of applied physics, Vol. 61. 1987 pp 1816-1825.
[11] G. R. Johnson, W. H. Cook, Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressure, EngngFractMech, Vol. 21(1) 1985 pp. 31-48.
[12] J. H. Holland, Adaptation in Natural and Artificial Systems, University of Michigan Press, Ann Arbor, Michigan, USA 1975.