Abstract
In this work, tension and compression tests have been carried out on aluminium samples at low and high strain rate, the latter performed by means of a direct tension Hopkinson bar equipment. The parameters of the Johnson-Cook constitutive model have been identified using different approaches; the first method consists in the classical Finite Element Model Updating, where numerical simulations are repeated with different material parameters until the mismatch between the experimental and numerical load–displacement curves falls below an acceptable threshold.
The second method is based on the analysis of the digital images acquired by a fast camera during the tests; this permitted to calibrate the JC model by an analytical minimization procedure, without any FE simulation. A third inverse technique was also implemented, consisting in applying the FE model updating but using an enriched cost function, where also the mismatch between the numerical and acquired specimen shape profiles is included and minimized.
The advantages and drawbacks of the different techniques are assessed and compared.
This paper was presented during the SEM Annual Meeting in Costa Mesa, CA, June 2015
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References
Hopkinson, B.: A method of measuring the pressure produced in the detonation of explosives or by the impact of bullets. Phil. Trans. Roy. Soc. Lond. 213, 437–456 (1914)
Davies, R.: A critical study of the hopkinson pressure bar. Phil. Trans. Roy. Soc. Lond. 240, 375–457 (1948)
Kolsky, H.: An investigation of the mechanical properties of materials at very high rates of load. Proc. R. Soc. Lond. B 62(11), 676–700 (1949)
Harding, J., Wood, E., Campbell, J.: Tensile testing of materials at impact rates of strain. J. Mech. Eng. Sci. 2(2), 88–96 (1960)
Staab, G., Gilat, A.M.O.S.: Exp. Mech. 31(3), 232–235 (1991)
Nicholas, T.: Tensile testing at high rates of strain. Exp. Mech. 21(5), 177–185 (1981)
Lewis, J.L., Campbell, J.: The development and use of a torsional Hopkinson-bar apparatus. Exp. Mech. 12(11), 520–524 (1972)
Sasso, M., Newaz, G., Amodio, D.: Material characterization at high strain rate by Hopkinson bar tests and finite element optimization. Mater. Sci. Eng. A487, 289–300 (2008)
Sedighi, M., Khandaei, M., Shokrollahi, H.: An approach in parametric identification of high strain rate constitutive model using Hopkinson pressure bar test results. Mater. Sci. Eng. A 527(15), 3521–3528 (2010)
Rossi, M., Pierron, F.: Identication of plastic constitutive parameters at large deformations from three dimensional displacement fields. Comput. Mech. 49(1), 53–71 (2012)
Rossi, M., Pierron, F., Forquin, P.: Assessment of the metrological performance of an in situ storage image sensor ultra-high speed camera for full-field deformation measurements. Meas. Sci. Technol. 25(1), 025401 (2014)
Chakrabarty, J.: Applied Plasticity, 2nd edn, pp. 161–163. Springer, New York (2010)
Cross, L., Bless, A., Rajendran, E., Strader, E., Dawicke, D.: New technique to investigate necking in a tensile Hopkinson Bar. Exp. Mech. 24(3), 184–186 (1984)
Dunnett, T., Balint, D., MacGillivray, H., Church, P., Gould, P.: Scale effects in necking. EPJ Web Conf. 26, 01008 (2012)
Sasso, M., Fardmoshiri, M., Mancini, E., Rossi, M., Cortese, L.: High speed imaging for material parameters calibration at high strain rate. Eur Phys J Special Topics, 225(2), 295–309 (2016)
Chen, W., Song, B.: Split Hopkinson (Kolsky) Bar, Design, Testing and Applications. Mechanical engineering series, pp. 11–17. Springer, New York (2011)
Cowper, P.S.G.: Strain hardening and strain rate effect in the impact loading of Cantilever beams. Brown University, Applied Mathematics Report (1958)
Klopp, R., Clifton, R.: Pressure-shear impact and the dynamic viscoplastic response of metals. Mech. Mater. 4(3), 375–385 (1985)
Litonski, J.: Plastic flow of a tube under adiabatic torsion. Bull. Acad. Pol. Sci. Ser. Sci. Tech. XXV, 7 (1977)
Zerilli, F.J., Armstrong, R.W.: Deformation twinning and grain size aspects of numerical simulations of plastic flow. MRS Proc. 362 (1994)
Johnson, R., Cook, W.H.: A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. Int. Symp. Ballistics 7, 541–547 (1983)
Johnson, J., Cook, W.: Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng. Fract. Mech. 21(1), 31–48 (1985)
Meyers, M.A.: Dynamic Behavior of Materials. Wiley, New York (1994)
“Abaqus FEA,” D S Simulia. © Dassault Systemes, 2004, 2012.
Han, S.: A globally convergent method for nonlinear programming. J. Optim. Theory Appl. 22, 297 (1977)
MATLAB version 8.2. The MathWorks Inc., Natick (2013)
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Fardmoshiri, M., Sasso, M., Mancini, E., Chiappini, G., Rossi, M. (2017). Identification of Constitutive Model Parameters in Hopkinson Bar Tests. In: Quinn, S., Balandraud, X. (eds) Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 9. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-42255-8_23
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