Abstract
We numerically study the large strain free-end torsion of extruded magnesium alloy bars based on the recently developed Elastic Visco-Plastic Self-Consistent (EVPSC) model, in which both slip and twinning contribute to plastic deformation. It is shown that the predicted second-order length change is very sensitive to the initial texture and texture evolution. Numerical results suggest that the free-end torsion test can provide an effective means for assessing the adequacy of polycrystal plasticity models for magnesium alloys.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H.W. Swift, “Length changes in metals under torsional overstrain,” Engineering, 163 (1947), 253–257.
F. Montheillet, M. Cohen, and J.J. Jonas, “Axial stresses and texture development during the torsion testing of Al, Cu and Alpha-Fe,” Acta Metall., 32 (1984), 2077–2089.
S. Harren, T.C. Lowe, R.J. Asaro, and A. Needleman, “Analysis of large-strain shear in rate-dependent Face-Centred Cubic polycrystals: Correlation of micro- and macromechanics,” Philosophical Transactions of the Royal Society of London, A328 (1989), 443–500.
K.W. Neale, L.S. Toth, and J.J. Jonas, “Large strain shear and torsion of rate-sensitive FCC polycrystals,” International Journal of Plasticity, 6 (1991), 45–61.
L.S. Toth, J.J. Jonas, D. Daniel, and J.A. Bailey, “Texture development and length changes in copper bars subjected to free end torsion,” Texture and Microstructure, 19 (1992), 245–262.
P.D. Wu, K.W. Neale, and E. Van der Giessen, “Simulation of the behaviour of FCC polycrystals during reversed torsion,” International Journal of Plasticity, 12 (1996), 1199–1219.
P. Sanchez, A. Pochettino, T. Chauveau, and B. Bacroix, “Torsion texture development of zirconium alloys,” Journal of Nuclear Materials, 298 (2001), 329–339.
W.J. Evans, J.P. Jones, and M.T. Whittaker, “Texture effects under tension and torsion loading conditions in titanium alloys,” International Journal of Fatigue, 27 (2005), 1244–1250.
M.R. Barnett, “Influence of deformation condition and texture on the high temperature flow stress of magnesium AZ31,” Journal of Light Metals, 1 (2001), 167–177.
S. Balasubramanian, and L. Anand, “Plasticity of initially textured hexagonal polycrystals at high homologous temperatures: application to titanium,” Acta Materialia, 50 (2002), 133–148.
B. Beausir, L.S. Toth, F. Qods, and K.W. Neale, “Texture and mechanical behavior of magnesium during free-end torsion,” Journal of Engineering Materials and Technology, 131 (2009), article number 011108.
H. Wang, Y. Wu, P.D. Wu, and K.W. Neale, “Numerical analysis of large strain simple shear and fixed-end torsion of HCP polycrystals,” CMC-Computers, Materials & Continua, 19 (2010), 255–284.
K.W. Neale, and S.C. Shrivastava, “Finite elastic plastic torsion of a circular bar,” Engineering Fracture Mechanics, 21 (1985), 747–754.
A. Molinari, G.R. Canova, and S. Ahzi, “A self-consistent approach of the large deformation polycrystal viscoplasticity,” Acta Metallurgica, 35 (1987), 2983–2994.
R.A. Lebensohn, and C.N. Tomé, “A self-consistent anisotropic approach for the simulation of plastic-deformation and texture development of polycrystals — Application to Zirconium alloys” Acta Metallurgica et Materialia, 41 (1993), 2611–2624.
P.D. Wu, and E. Van der Giessen, “Analysis of elastic-plastic torsion of circular bars at large strains,” Archive of Applied Mechanics, 61 (1991), 89–103.
H. Wang, P.D. Wu, C.N. Tomé, and Y. Huang, “A finite strain elastic-viscoplastic self-consistent model for polycrystalline materials,” Journal of the Mechanics and Physics of Solids, 58 (2010), 594–612.
H. Wang, B. Raeisinia, P.D. Wu, S.R. Agnew, and C.N. Tomé, “Evaluation of self-consistent polycrystal plasticity models for magnesium alloy AZ31B sheet,” International Journal of Solids and Structures, 47 (2010), 2905–2917.
H. Wang, P.D. Wu, and K.W. Neale, “On the role of the constitutive model and basal texture on the mechanical behavior of magnesium alloy AZ31B sheet,” Journal of Zhejiang University — Science, A11 (2010), 744–755.
H. Wang, P.D. Wu, K.P. Boyle, and K.W. Neale, “On crystal plasticity formability analysis for magnesium alloy sheets,” International Journal of Solids and Structures, 48 (2011), 1000–1010.
C.N. Tomé, R.A. Lebensohn, and U.F. Kocks, “A model for texture development dominated by deformation twinning — Application to Zirconium alloys,” Acta Metallurgica et Materialia, 39 (1991), 2667–2680.
P.D. Wu, and E. Van der Giessen, “On large strain inelastic torsion of glassy polymers,” International Journal of Mechanical Sciences, 35 (1993), 935–951.
E. Van der Giessen, P.D. Wu, and K.W. Neale, “On the effect of plastic spin on large strain elastic-plastic torsion of solid bars,” International Journal of Plasticity, 8 (1992), 773–801.
S.R. Agnew, D.W. Brown, and C.N. Tomé, “Validating a polycrystal model for the elastoplastic response of magnesium alloy AZ31 using in situ neutron diffraction,” Acta Materialia, 54 (2006), 4841–4852.
G. Simmons, and H. Wang, Single crystal elastic constants and calculated polycrystal properties (Cambridge (MA): MIT Press, 1971).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 TMS (The Minerals, Metals & Materials Society)
About this chapter
Cite this chapter
Wang, H., Wu, P.D., Neale, K.W. (2012). Length Changes in Extruded Magnesium Alloy Bars Under Large Strain Free-End Torsion. In: Mathaudhu, S.N., Sillekens, W.H., Neelameggham, N.R., Hort, N. (eds) Magnesium Technology 2012. Springer, Cham. https://doi.org/10.1007/978-3-319-48203-3_21
Download citation
DOI: https://doi.org/10.1007/978-3-319-48203-3_21
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-48571-3
Online ISBN: 978-3-319-48203-3
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)