Characterization of Flow and Hardening Parameters of 1100 Aluminium Alloy by Combining Nanoindentation Test and Crystal Plasticity Finite Element Simulation

Authors

1 Ph.D. Student, Department of Mechanical Engineering, Faculty of Engineering, Urmia University, Urmia, Iran

2 Assoc. Prof., Department of Mechanical Engineering, Faculty of Engineering, Urmia University, Urmia, Iran

Abstract

The mechanical response of crystalline materials is affected by the flow and hardening of dislocations; that to describe them as a material model in finite element calculations, the flow and hardening parameters are implemented in the crystal plasticity code. In the present study, flow and hardening parameters for 1100 aluminium alloy were characterized by combining the experimental nanoindentation test and 3D crystal plasticity finite element simulations. Extracted parameters were validated by comparing the stress-strain curves of the experimental uniaxial tensile test and simulation of 3D crystal plasticity finite element on single crystal and polycrystal models. Also, the effect of the friction coefficient in determining the flow and hardening parameters was discussed. The results of this study showed that (i) parameters of initial yield stress, reference shear strain rate, and saturation stress, respectively had the highest positive correlation with the maximum load; (ii) the load-displacement curve obtained from the simulation of the nanoindentation test using the characterized parameters has a relative error of 0.50% compared to the experimental nanoindentation test at the maximum indentation depth; (iii) The characterized parameters significantly can estimate the yield stress and ultimate tensile strength with a relative error of 2.60% and 0.20% for the single crystal model and 10.18% and 12.44% for the polycrystal model, respectively. However, while accurately modeling the yield zone in the polycrystalline model, the accuracy of the characterized parameters is affected by the grain boundary orientation.

Keywords

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References

[1]  Phillips, R., Crystals, defects and microstructures: modeling across scales. 2001: Cambridge University Press.
[2]   Asaro, R. and V. Lubarda, Mechanics of solids and materials. 2006: Cambridge University Press.
[3]   Herrera-Solaz, V., et al., An inverse optimization strategy to determine single crystal mechanical behavior from polycrystal tests: Application to AZ31 Mg alloy. International J. Plastic., 2014. 57: p. 1-15.
[4]   Chakraborty, A. and P. Eisenlohr, Evaluation of an inverse methodology for estimating constitutive parameters in face-centered cubic materials from single crystal indentations. Europ. J. Mech.-A/Solids, 2017. 66: p. 114-124.
[5]   Li, L., et al., Three-dimensional crystal plasticity finite element simulation of nanoindentation on aluminium alloy 2024. Materials Science and Engineering: A, 2013. 579: p. 41-49.
[6]   Horstemeyer, M., et al., A multiscale analysis of fixed-end simple shear using molecular dynamics, crystal plasticity, and a macroscopic internal state variable theory. Modelling and Simulation in Materials Science and Engineering, 2003. 11(3): p. 265.
[7]   Aghabalaeivahid, A. and M. Shalvandi, Microstructure-based crystal plasticity modeling of AA2024-T3 aluminum alloy defined as the α-Al, θ-Al2Cu, and S-Al2CuMg phases based on real metallographic image. Materials Research Express, 2021. 8(10): p. 106521.
[8]   Zirkle, T. and D.L. McDowell, Modeling cyclic deformation of austenitic stainless steels at elevated temperatures using a physically-based mesoscale crystal plasticity framework. Materials Science and Engineering: A, 2022. 832: p. 142377.
[9]   Jasim, S.A., et al., Role of Alloying Composition on Mechanical Properties of CuZr Metallic Glasses During the Nanoindentation Process. Metals and Materials International, 2022: p. 1-8.
[10] Viswanathan, G., et al., Direct observations and analyses of dislocation substructures in the α phase of an α/β Ti-alloy formed by nanoindentation. Acta materialia, 2005. 53(19): p. 5101-5115.
[11] Liu, Y., et al., Combined numerical simulation and nanoindentation for determining mechanical properties of single crystal copper at mesoscale. J..Mech. .Physic. Solids, 2005. 53(12): p. 2718-2741.
[12] Wu, B., et al., Prediction of plasticity and damage initiation behaviour of C45E+ N steel by micromechanical modelling. Materials & Design, 2017. 121: p. 154-166.
[13] Hammerquist, C.C. and J.A. Nairn, Modeling nanoindentation using the material point method. J. Materials Research, 2018. 33(10): p. 1369-1381.
[14] عین القضاتی، مونا و عاصم‌پور، احمد. (1400). تاثیر ویژگی‌های ریزساختار بر رفتار فولاد با سمانتیت کروی‌شده با استفاده از روش پلاستیسیته کریستالی. نشریه مهندسی مکانیک امیرکبیر. 53 (شماره 6 (Special Issue)): 4094-4079.
[15] Yin, B., et al., Experiments and crystal plasticity simulations for the deformation behavior of nanoindentation: Application to the α2 phase of TiAl alloy. Materials Science and Engineering: A, 2022. 831: p. 142283.
[16] Liu, M., et al., A combined experimental-numerical approach for determining mechanical properties of aluminum subjects to nanoindentation. Scientific reports, 2015. 5(1): p. 1-16.
[17] Durán, A.I., et al., Experimental and Numerical Analysis on the Formability of a Heat-Treated AA1100 Aluminum Alloy Sheet. J. Materials Eng. . Perform., 2015. 24(10): p. 4156-4170.
[18] Tang, D., et al., Evolution of the material microstructures and mechanical properties of AA1100 aluminum alloy within a complex porthole die during extrusion. Materials, 2018. 12(1): p. 16.
[19] Kim, M.-S., et al., Unraveling the formation mechanism of deformation bands in AA1100 alloy during plane forging and return-plane forging. International J. Mech. Sci., 2022. 223: p. 107268.
[20] Rice, J.R., Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity. J. Mech. Physic. Solids, 1971. 19(6): p. 433-455.
[21] Peirce, D., R.J. Asaro, and A. Needleman, Material rate dependence and localized deformation in crystalline solids. Acta metallurgica, 1983. 31(12): p. 1951-1976.
[22] Asaro, R.J., Crystal plasticity. 1983.
[23] Peirce, D., R. Asaro, and A. Needleman, An analysis of nonuniform and localized deformation in ductile single crystals. Acta metallurgica, 1982. 30(6): p. 1087-1119.
[24] Huang, Y., A user-material subroutine incroporating single crystal plasticity in the ABAQUS finite element program. 1991: Harvard Univ.
[25] Karimzadeh, A., M. Ayatollahi, and M. Alizadeh, Finite element simulation of nano-indentation experiment on aluminum 1100. Computational Materials Science, 2014. 81: p. 595-600.
[26] Retamoso, C., et al., Exploration of the initial photocatalytic activity parameters of αFe2O3–rutile for methylene blue discoloration in water through the OFAT process. J. Photochem. Photobio. A: Chemistry, 2023. 438: p. 114495.
[27] Evans, J.A., et al., Determining elastic anisotropy of textured polycrystals using resonant ultrasound spectroscopy. J. Materials Sci., 2021. 56(16): p. 10053-10073.
[28] Lim, H., et al., Investigating mesh sensitivity and polycrystalline RVEs in crystal plasticity finite element simulations. Int. J. Plastic., 2019. 121: p. 101-115.
[29] Mata, M. and J. Alcala, The role of friction on sharp indentation. J. Mech. Physic Solids, 2004. 52(1): p. 145-165.
[30] Burley, M., et al., Johnson-Cook parameter evaluation from ballistic impact data via iterative FEM modelling. Int. J. Impact Eng., 2018. 112: p. 180-192.
[31] Durst, K., M. Göken, and G.M. Pharr, Finite element simulation of spherical indentation in the elastic–plastic transition. Int. J. Materials Research, 2022. 93(9): p. 857-861.
[32] Liu, M., et al., A crystal plasticity study of the effect of friction on the evolution of texture and mechanical behaviour in the nano-indentation of an aluminium single crystal. Computational materials science, 2014. 81: p. 30-38.
[33] Karthik, V., et al., Finite element analysis of spherical indentation to study pile-up/sink-in phenomena in steels and experimental validation. International J. Mech. Sci., 2012. 54(1): p. 74-83.
 
[34] Howe, S. and C. Elbaum, The relation between the plastic deformation of aluminium single crystals and polycrystals. Philosophical Magazine, 1961. 6(61): p. 37-48.
Journal of Solid and Fluid Mechanics
Volume 13, Issue 3
May and June 2023
Pages 97-113

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