Abstract
Evolution of texture components during deformation of lightweight aluminum alloy sheet under different strain paths is studied by analyzing the evolution of element rotation calculated using a rate-dependent crystal plasticity finite element model. Based on a stability criteria proposed by Ali et al. (Light Metals 2016. Wiley, London, pp. 159–162, 2016), data from cold rolling, shear and compression simulations is analyzed to determine stable texture components. The predicted stable texture components, for the same microstructure, for rolling, shear and compression using the stability criteria are in-line with experimental observations. Further analysis of simulated data yields a simpler methodology that stable texture components are those that are aligned with the loading direction. Using this methodology, stable textures under rolling, shear and plane-strain compression are analytically identified and the results show an excellent conformity to experimental data. This new methodology can be included in robust non-texture based phenomenological modelling to predict texture evolution in engineering design problems.
References
U. Ali, A. Brahme, R.K. Mishra, K. Inal, Multi-scale numerical modeling of rolling using a crystal plasticity based element free galerkin model, in SPD 06 (Metz, France, 2014)
U. Ali, A.P. Brahme, R.K. Mishra, K. Inal, New methodology to determine stable texture components under cold rolling in FCC metals, in Light Metals 2016 (Wiley, London, 2016), pp. 159–162
R.J. Asaro, A. Needleman, Texture development and strain hardening in rate dependent polyrystals. Acta Metall 33, 923–953 (1985)
A. Brahme, M.H. Alvi, D. Saylor, J. Fridy, A.D. Rollett, 3D reconstruction of microstructure in a commercial purity aluminum. Scr. Mater. 55, 75–80 (2006)
J. Cho, A.D. Rollett, K.H. Oh, Determination of a mean orientation in electron backscatter diffraction measurements of average orientations. Metall. Mater. Trans. A 36, 3427–3438 (2005)
C.-H. Choi, J.-W. Kwon, K.H. Oh, D.N. Lee, Analysis of deformation texture in homogeneity and stability condition of shear components in F.C.C metals. Acta Metall. 45, 5119–5128 (1997)
E.D. Cyr, M. Mohammadi, R.K. Mishra, K. Inal, A three dimensional (3D) thermo-elasto-viscoplastic constitutive model for FCC polycrystals. Int. J. Plast 70, 166–190 (2015)
L. Delannay, O.V. Mishin, Crystal plasticity modeling of the through-thickness texture heterogeneity in heavily rolled aluminum. Key Eng. Mater. 554–557, 1189–1194 (2013). doi:10.4028/www.scientific.net/KEM.554-557.1189
O. Engler, M. Crumback, S. Li, Alloy-dependent rolling texture simulation of aluminium alloys with a grain-interaction model. Acta Mater. 53, 2241–2257 (2005). doi:10.1016/j.actamat.2005.01.032
D. Ghaffari Tari, M.J. Worswick, U. Ali, M.A. Gharghouri, Mechanical response of AZ31B magnesium alloy: experimental characterization and material modeling considering proportional loading at room temperature. Int. J. Plast 55, 247–267 (2014). doi:10.1016/j.ijplas.2013.10.006
J. Hirsch, K. Lücke, Overview no. 76: mechanism of deformation and development of rolling textures in polycrystalline f.c.c. metals—I. Description of rolling texture development in homogeneous CuZn alloys. Acta Metall. 36, 2863–2882 (1988)
J. Hirsch, K. Lücke, Overview no. 76: mechanism of deformation and development of rolling textures in polycrystalline f.c.c. metals—II. Simulation and interpretation of experiments on the basis of Taylor-type theories. Acta Metall. 36, 2883–2904 (1988)
J. Hirsch, K. Lücke, M. Hatherly, Overview no. 76: mechanism of deformation and development of rolling textures in polycrystalline f.c.c. metals—III. The influence of slip inhomogeneities and twinning. Acta Metall. 36, 2905–2927 (1988)
M. Hölscher, D. Raabe, K. Lücke, Relationship between rolling textures and shear textures in f.c.c. and b.c.c. metals. Acta Metall. Mater. 42, 879–886 (1994). doi:10.1016/0956-7151(94)90283-6
P. Van Houtte, A.K. Kanjarlaa, A. Van Baela, M. Seefeldta, L. Delannay, Multiscale modelling of the plastic anisotropy and deformation texture of polycrystalline materials. Eur. J. Mech. A/Solids 25, 634–648 (2006)
G. Hu, P. Wriggers, On the adaptive finite element method of steady-state rolling contact for hyperelasticity in finite deformations. Comput. Methods Appl. Mech. Eng. 191, 1333–1348 (2002). doi:10.1016/S0045-7825(01)00326-7
K. Inal, K.W. Neale, A. Aboutajeddine, Forming limit comparisons for FCC and BCC sheets. Int. J. Plast 21, 1255–1266 (2005). doi:10.1016/j.ijplas.2004.08.001
K. Inal, P.D. Wu, K.W. Neale, Large strain behaviour of aluminium sheets subjected to in-plane simple shear. Model. Simul. Mater. Sci. Eng. 10, 237–252 (2002)
H. Jin, D.J. Lloyd, The different effects of asymmetric rolling and surface friction on formation of shear texture in aluminium alloy AA5754. Mater. Sci. Technol. 26, 754–760 (2010). doi:10.1179/174328409X405634
M. Knezevic, B. Drach, M. Ardeljan, I.J. Beyerlein, Three dimensional predictions of grain scale plasticity and grain boundaries using crystal plasticity finite element models. Comput. Methods Appl. Mech. Eng. (2014). doi:10.1016/j.cma.2014.05.003
M. Knezevic, S.R. Kalidindi, D. Fullwood, Computationally efficient database and spectral interpolation for fully plastic Taylor-type crystal plasticity calculations of face-centered cubic polycrystals. Int. J. Plast 24, 1264–1276 (2008). doi:10.1016/j.ijplas.2007.12.002
U. Kocks, C. Tome, H.-R. Wenk, Texture and Anisotropy: Preferred Orientations in Polycrystals and their Effect on Materials Properties (Cambridge University Press, Cambridge, 1998)
H.R. Le, M.P.F. Sutcliffe, Analysis of surface roughness of cold-rolled aluminium foil. Wear 244, 71–78 (2000)
R.A. Lebensohn, C.N. Tomé, A self-consistent viscoplastic model: prediction of rolling textures of anisotropic polycrystals. Mater. Sci. Eng. A 175, 71–82 (1994)
J. Lévesque, K. Inal, K.W. Neale, R.K. Mishra, Numerical modeling of formability of extruded magnesium alloy tubes. Int. J. Plast 26, 65–83 (2010). doi:10.1016/j.ijplas.2009.05.001
S. Li, S.R. Kalidindi, I.J. Beyerlein, A crystal plasticity finite element analysis of texture evolution in equal channel angular extrusion. Mater. Sci. Eng. A 410, 207–212 (2005)
LSTC, LS-DYNA Theory Manual, Version 970 (Livermore, CA, 2003)
W. Mao, Z. Sun, Inhomogeneity of rolling texture in Fe-28Al-2Cr alloy. Scr. Metall. 29, 217–220 (1993)
W. Muhammad, M. Mohammadi, J. Kang, R.K. Mishra, K. Inal, An elasto-plastic constitutive model for evolving asymmetric/anisotropic hardening behavior of AZ31B and ZEK100 magnesium alloy sheets considering monotonic and reverse loading paths. Int. J. Plast 70, 30–59 (2015)
K.W. Neale, K. Inal, P.D. Wu, Effects of texture gradients and strain paths on localization phenomena in polycrystals. Int. J. Mech. Sci. 45, 1671–1686 (2003). doi:10.1016/j.ijmecsci.2003.12.002
J.C. Neil, S.R. Agnew, Crystal plasticity-based forming limit prediction for non-cubic metals: application to Mg alloy AZ31B. Int. J. Plast 25, 379–398 (2009)
E. Popova, Y. Staraselski, A. Brahme, R.K. Mishra, K. Inal, Coupled crystal plasticity—probabilistic cellular automata approach to model dynamic recrystallization in magnesium alloys. Int. J. Plast 66, 85–102 (2015). doi:10.1016/j.ijplas.2014.04.008
D. Raabe, R.C. Becker, Coupling of a crystal plasticity finite-element model with a probabilistic cellular automaton for simulating primary static recrystallization in aluminium coupling of a crystal plasticity finite-element model with a probabilistic cellular automaton for si. Model. Simul. Mater. Sci. Eng. 445, 445–462 (2000)
D. Raabe, M. Sachtleber, H. Weiland, G. Scheele, Grain-scale micromechanics of polycrystal surfaces during plastic straining. Acta Mater. 51, 1539–1560 (2003). doi:10.1016/S1359-6454(02)00557-8
J. Rossiter, A. Brahme, K. Inal, R.K. Mishra, Numerical analyses of surface roughness during bending of FCC single crystals and polycrystals. Int. J. Plast 46, 82–93 (2013). doi:10.1016/j.ijplas.2013.01.016
J. Rossiter, A. Brahme, M.H. Simha, K. Inal, R.K. Mishra, A new crystal plasticity scheme for explicit time integration codes to simulate deformation in 3D microstructures: effects of strain path, strain rate and thermal softening on localized deformation in the aluminum alloy 5754 during simple shear. Int. J. Plast 26, 1702–1725 (2010). doi:10.1016/j.ijplas.2010.02.007
P. Van Houtte, S. Li, M. Seefeldt, L. Delannay, Deformation texture prediction: from the Taylor model to the advanced Lamel model. Int. J. Plast 21, 589–624 (2005)
Y. Zhou, L.S. Tóth, K.W. Neale, On the stability of the ideal orientations of rolling textures for f.c.c. polycrystals. Acta Mater. 40, 3179–3193 (1992)
Acknowledgements
This work was supported by the Natural Sciences and Engineering Research Council Automotive Partnership Collaboration (NSERC-APC) Program under grant no. APCPJ 441668-12 and General Motors of Canada. The authors would also like to acknowledge the support of the High Performance Computing Center at the University of Sherbrooke and insightful discussions with Waqas Muhammad and Jaspreet Singh Nagra.
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Ali, U., Brahme, A., Mishra, R.K., Inal, K. (2017). Determining a Stable Texture Condition Under Complex Strain Path Deformations in Face Centered Cubic Metals. In: Ratvik, A. (eds) Light Metals 2017. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-319-51541-0_51
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