Study of Johnson-Cook Model Comprehensiveness at Moderate Strain Rate and Inverse Analysis to Modify the Constitutive Parameters Using Cold Wire Drawing Process
محورهای موضوعی : Metal FormingAshkan Mahmoud Aghdami 1 , Behnam Davoodi 2
1 - Department of Manufacturing Engineering, Faculty of Mechanical Engineering, University of Tabriz
2 - School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
کلید واژه: Wire Drawing, Johnson- cook, Moderate strain rate, Inverse analysis,
چکیده مقاله :
Johnson cook constitutive equation was utilized to model the 10100 copper alloy wires at the cold wire drawing process. Johnson cook parameters were determined using several quasi-static tensile tests at different strain rates. The wire drawing experiments carried out at seven drawing conditions with two areal reductions and four drawing speeds caused the strain rate ranged from 37 to 115 s-1. Wire Drawing forces were measured using a load cell connected to the die. Analytical and finite element with VUHARD subroutine solutions were implemented to calculate the drawing forces using the Johnson cook parameters as well. Results showed that the Johnson cook model with parameters determined from a quasi-static condition was not able to predict the material behavior at the wire drawing process with a moderate strain rate. Inverse analysis using the Newton- Raphson method to minimize the objective function was carried out to modify the Johnson cook parameters. Updated Johnson cook parameters showed much more correlation with experimental results.
[1] Vega, G., Haddi, A. and Imad, A. 2009. Investigation of process parameters effect on the copper-wire drawing. Materials & Design. 30(8):3308-3312.
[2] Haddi, A., Imad, A. and Vega, G. 2011. Analysis of temperature and speed effects on the drawing stress for improving the wire drawing process. Materials & Design. 32(8-9):4310-4315.
[3] Luis, C., Leon, J. and Luri, R. 2005. Comparison between finite element method and analytical methods for studying wire drawing processes. Journal of materials processing technology. 164:1218-1225.
[4] Celentano, D.J., Palacios, M.A. Rojas, E.L. M.A., Cruchaga, A.A. Artigas, and Monsalve, A.E. 2009. Simulation and experimental validation of multiple-step wire drawing processes. Finite Elements in Analysis and Design. 45(3):163-180.
[5] He, S., Van Houtte, P., Van Bael, A., Mei, Sarban, F., Boesman, A. P., Gálvez, F. and Atienza, J. 2002. Strain rate effect in high-speed wire drawing process. Modelling and Simulation in Materials Science and Engineering. 10(3): 267-270.
[6] Parnian, P. and Parsa, M. 2015. The Effect of Strain Rate on Ultra-Fine Grained Structure of Cold Drawn 304L Stainless Steel Wires. Procedia Materials Science. 11: p. 24-31.
[7] Committee, A.I.H., ASM handbook: mechanical testing and evaluation. 2000. ASM International.
[8] Johnson, G.R. and Cook, W.H. 1983. A constitutive model and data for metals subjected to large strain, high strain rates and high temperatures. Proceedings of the 7th International Symposium on Ballistics.
[9] Lin, Y., Chen, X.-M. and Liu, G. 2010. A modified Johnson–Cook model for tensile behaviors of typical high-strength alloy steel. Materials Science and Engineering: A. 527(26): 6980-6986.
[10] Chen, G., Ren, C., Ke, Z., Li, J. and Yang, X. 2016. Modeling of flow behavior for 7050-T7451 aluminum alloy considering microstructural evolution over a wide range of strain rates. Mechanics of Materials. 95:146-157.
[11] Tan, J.Q., Zhan, M., Liu, S., Huang, Guo, T. J. and Yang, H. 2015. A modified Johnson–Cook model for tensile flow behaviors of 7050-T7451 aluminum alloy at high strain rates. Materials Science and Engineering: A. 631:214-219.
[12] Zhang, D.-N., Shangguan, Q.-Q., Xie, C.-J. and Liu, F. 2015. A modified Johnson–Cook model of dynamic tensile behaviors for 7075-T6 aluminum alloy. Journal of Alloys and Compounds. 619:186-194.
[13] Vural, M. and Caro, J. 2009. Experimental analysis and constitutive modeling for the newly developed 2139-T8 alloy. Materials Science and Engineering: A. 520(1-2):56-65.
[14] Shin, H. and Kim, J.-B. 2010. A phenomenological constitutive equation to describe various flow stress behaviors of materials in wide strain rate and temperature regimes. Journal of Engineering Materials and Technology. 132(2):021009.
[15] Kang, W., Cho, S., Huh, H. and Chung, D. 1999. Modified Johnson-Cook model for vehicle body crashworthiness simulation. International Journal of Vehicle Design. 21(4):424-435.
[16] Clausen, A.H., Børvik, T., Hopperstad, O.S. and Benallal, A. 2004. Flow and fracture characteristics of aluminium alloy AA5083–H116 as function of strain rate, temperature and triaxiality. Materials Science and Engineering: A. 364(1-2):260-272.
[17] Li, H.-Y., Li, Y.-H., Wang, X.-F., Liu, J.-J. and Wu, Y. 2013. A comparative study on modified Johnson Cook, modified Zerilli–Armstrong and Arrhenius-type constitutive models to predict the hot deformation behavior in 28CrMnMoV steel. Materials & Design. 49:493-501.
[18] Majzoobi, G., Freshteh-Saniee, F., Khosroshahi, S.F.Z. and Mohammadloo, H.B. 2010. Determination of materials parameters under dynamic loading. Part I: Experiments and simulations. Computational Materials Science. 49(2):192-200.
[19] Iwamoto, T. and Yokoyama, T. 2012. Effects of radial inertia and end friction in specimen geometry in split Hopkinson pressure bar tests: a computational study. Mechanics of Materials. 51:97-109.
[20] Bhaduri, A., Mechanical Properties and Working of Metals and Alloys. 2018: Springer.
[21] Majzoobi, G.-H., Hosseinkhani, A.R., Lahmi, S., Pipelzadeh, M.K. and Hardy, S.J. 2014. Determination of the constants of material models at high strain rates and elevated temperatures using shot impact test. The Journal of Strain Analysis for Engineering Design. 49(5):342-351.
[22] Ning, J. and Liang, S.Y. 2018. Model-driven determination of Johnson-Cook material constants using temperature and force measurements. The International Journal of Advanced Manufacturing Technology. 97(1-4):1053-1060.
[23] Ning, J., Nguyen,V., Huang, Y., Hartwig, K.T. and Liang, S.Y. 2018. Inverse determination of Johnson–Cook model constants of ultra-fine-grained titanium based on chip formation model and iterative gradient search. The international journal of advanced manufacturing technology. 99(5-8): 1131-1140.
[24] Agmell, M., Ahadi, A. and Ståhl, J.-E. 2014. Identification of plasticity constants from orthogonal cutting and inverse analysis. Mechanics of Materials. 77:43-51.
[25] Laakso, S.V. and Niemi, E. 2017. Using FEM simulations of cutting for evaluating the performance of different johnson cook parameter sets acquired with inverse methods. Robotics and Computer-Integrated Manufacturing. 47: 95-101.
[26] Grujicic, M., Pandurangan, B., Yen, C.-F. and Cheeseman, B. 2012. Modifications in the AA5083 Johnson-Cook material model for use in friction stir welding computational analyses. Journal of Materials Engineering and Performance. 21(11):2207-2217.
[27] Faurholdt, T.G. 2000. Inverse modelling of constitutive parameters for elastoplastic problems. The Journal of Strain Analysis for Engineering Design. 35(6):471-478.
[28] Frutschy, K. and Clifton, R. 1998. High-temperature pressure-shear plate impact experiments on OFHC copper. Journal of the Mechanics and Physics of Solids. 46(10):1723-1744.
[29] Assadi, H., Gärtner, F., Stoltenhoff, T. and Kreye, H. 2003. Bonding mechanism in cold gas spraying. Acta Materialia. 51(15):4379-4394.
[30] Wright, R.N. 2011. Wire Drawing Technology: Process Engineering and Metallurgy. USA: Elsevier Inc.
[31] Evans, W. and Avitzur, B. 1968. Measurement of friction in drawing, extrusion, and rolling. Journal of Lubrication Technology. 90(1): 72-80.
[32] Avitzur, B. 1963. Analysis of wire drawing and extrusion through conical dies of small cone angle. Journal of Engineering for Industry. 85(1): 89-95.
[33] Richardson, H.W. 1997. Handbook of copper compounds and applications. CRC Press.
[34] Kurlov, A. and Gusev, A. 2013. Tungsten Carbides: Structure, Properties and Application in Hardmetals. Springer, Cham-Heidelberg-NY.
[35] Cho, H. 2007. Development of Advanced Techniques for Identification of Flow Stress and Friction Parameters for Metal Forming Analysis, Doctor of Philosophy, Ohio State University, Industrial and Systems Engineering.
