Abstract
The mechanical response of magnesium AZ31 processed using severe plastic deformation is characterized using a two-surface, pressure-insensitive plasticity model. The model captures the 3D plastic anisotropy and the tension–compression asymmetry as the behavior evolves during straining. The model may be viewed as a reduced-order quasi-crystal plasticity model, whereby the two activation surfaces represent glide- and twinning-dominated flow. The two-surface formulation enables independent, yet coupled, hardening laws in terms of effective plastic strains accumulated on either generic deformation system. Material identification was completed using tension and compression specimens oriented along the principal directions of the processed material, E, L, and F, as well as off-axes specimens that bisected the principal planes E–F, L–F, and L–E. Using the nominal stress–strain and lateral strain data from the experiments, this model can capture the anisotropic behavior of this material.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
W. F. Hosford. The Mechanics of Crystals and Textured Polycrystals. Oxford University Press, Oxford, 1993.
X. Y. Lou, M. Li, R. K. Boger, S. R. Agnew, and R. H. Wagoner. Hardening evolution of AZ31B Mg sheet. International Journal of Plasticity, 23:44–86, 2007.
A. S. Khan, A. Pandey, T. Gnaupel-Herold, and R. K. Mishra. Mechanical response and texture evolution of az31 alloy at large strains for different strain rates and temperatures. International Journal of Plasticity, 27:688–706, 2011.
D. G. Tari, M. J. Worswick, U. Ali, and M. A. Gharghouri. Mechanical response of AZ31B magnesium alloy: Experimental characterization and material modeling considering proportional loading at room temperature. International Journal of Plasticity, 55:247–267, 2014.
B. Kondori and A. A. Benzerga. Fracture strains, damage mechanisms and anisotropy in a magnesium alloy across a range of stress triaxialities. Experimental Mechanics, 54:493–499, 2014.
B. Kondori, Y. Madi, J. Besson, and A. A. Benzerga. Evolution of the 3D plastic anisotropy of HCP metals: experiments and modeling. International Journal of Plasticity, 2018. In press.
S. Basu, E. Dogan, B. Kondori, I. Karaman, and A. A. Benzerga. Towards Designing Anisotropy for Ductility Enhancement: A Theory-Driven Investigation in Mg-alloys. Acta Materialia, 131:349–362, 2017.
R. Hill. A theory of yielding and plastic flow of anisotropic solids. Proceedings of the Royal Society of London A, 193:281–297, 1948.
O. Cazacu, B. Plunkett, and F. Barlat. Orthotropic yield criterion for hexagonal closed packed metals. International Journal of Plasticity, 22:1171–1194, 2006.
J. H. Kim, D. Kim, Y.-S. Lee, M.-G. Lee, K. Chung, H.-Y. Kim, and R. H. Wagoner. A temperature-dependent elasto-plastic constitutive model for magnesium alloy AZ31 sheets. International Journal of Plasticity, 50:66–93, 2013.
D. Steglich, X. Tian, and J. Besson. Mechanism-based modelling of plastic deformation in magnesium alloys. European Journal of Mechanics, 55:289–303, 2016.
M. Al-Maharbi, I. Karaman, I. J. Beyerlein, D. Foley, K. T. Hartwig, L. J. Kecskes, and S. N. Mathaudhu. Microstructure, crystallographic texture, and plastic anisotropy evolution in an Mg alloy during equal channel angular extrusion processing. Materials Science and Engineering: A, 528:7616–7627, 2011.
S. R. Kalidindi. Incorporation of deformation twinning in crystal plasticity models. Journal of the Mechanics and Physics of Solids, 46:267–290, 1998.
B. Selvarajou, B. Kondori, A. A. Benzerga, and S. P. Joshi. On Plastic Flow in Notched Hexagonal Close Packed Single Crystals. Journal of the Mechanics and Physics of Solids, 94:273–297, 2016.
F. Barlat, D. J. Lege, and J. C. Brem. A six-component yield function for anisotropic materials. International Journal of Plasticity, 7:693–712, 1991.
D. W. Marquardt. An algorithm for least-squares estimation of nonlinear parameters. SIAM J. Appl. Math., 11:431–441, 1963.
Acknowledgements
JSH and AAB gratefully acknowledge support of this work by the National Science Foundation under grant number CMMI-1563580.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 The Minerals, Metals & Materials Society
About this paper
Cite this paper
Herrington, J.S., Madi, Y., Besson, J., Benzerga, A.A. (2019). Modeling the 3D Plastic Anisotropy of a Magnesium Alloy Processed Using Severe Plastic Deformation. In: Joshi, V., Jordon, J., Orlov, D., Neelameggham, N. (eds) Magnesium Technology 2019. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-030-05789-3_42
Download citation
DOI: https://doi.org/10.1007/978-3-030-05789-3_42
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-05788-6
Online ISBN: 978-3-030-05789-3
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)