235
Views
0
CrossRef citations to date
0
Altmetric
Part A: Materials Science

Characteristic stepwise strain hardening behaviour induced by slip and twinning of large-deformed copper single crystals: crystal plasticity modelling and simulation

, , &
Pages 1245-1273 | Received 08 May 2020, Accepted 10 Feb 2021, Published online: 11 Mar 2021

References

  • B. Bacroix and R. Brenner, A phenomenological anisotropic description for dislocation storage and recovery processes in FCC crystals. Comp. Mater. Sci. 54 (2012), pp. 97–100.
  • X.Z. Xiao, L.R. Chen, L. Yu, and H.L. Duan, Modelling nano-indentation of ion-irradiated FCC single crystals by strain-gradient crystal plasticity theory. Int. J. Plast. 116 (2019), pp. 216–231.
  • M. Niewczas, Z.S. Basinski, S.J. Basinski, and J.D. Embury, Deformation of copper single crystals to large strains at 4.2 K. Philo. Mag. A. 81 (2001), pp. 1121–1142.
  • M. Niewczas, Z.S. Basinski, and J.D. Embury, Deformation of copper single crystals to large strains at 4.2 K. Philo. Mag. A. 81 (2001), pp. 1143–1159.
  • M. Niewczas, O. Engler, and J.D. Embury, The recrystallization of copper single crystals deformed at 4.2 K. Acta Mater. 52 (2004), pp. 539–552.
  • D. Kiener, W. Grosinger, G. Dehm, and R. Pippan, A further step towards an understanding of size-dependent crystal plasticity: in situ tension experiments of miniaturized single-crystal copper samples. Acta Mater. 56 (2008), pp. 580–592.
  • E. Demir and D. Raabe, Mechanical and microstructural single-crystal Bauschinger effects: observation of reversible plasticity in copper during bending. Acta Mater. 58 (2010), pp. 6055–6063.
  • K.R. Narayanan, S. Subbiah, and I. Sridhar, Indentation response of single-crystal copper using rate-independent crystal plasticity. App. Phy. A. 105 (2011), pp. 453–461.
  • A.T. Jennings, C. Gross, F. Greer, Z.H. Aitken, S.W. Lee, C.R. Weinberger, and J.R. Greer, Higher compressive strengths and the Bauschinger effect in conformally passivated copper nanopillars. Acta Mater. 60 (2012), pp. 3444–3455.
  • R.J. Asaro, Micromechanics of crystals and polycrystals. Adv. Appl. Mech. 23 (1983), pp. 1–115.
  • U.S. Dixit, S.N. Joshi, and J.P. Davim, Incorporation of material behavior in modeling of metal forming and machining processes: a review. Mater. Des. 32 (2011), pp. 3655–3670.
  • S.R. Kalidindi, C.A. Bronkhost, and L. Anand, Crystallgraphic texture evolution in bulk deformation processing of FCC metals. J. Mech. Phys. Solids 40 (1992), pp. 537–579.
  • H.M. Zhang and X.H. Dong, Physically based crystal plasticity FEM including geometrically necessary dislocations: numerical implementation and applications in micro-forming. Comp. Mater. Sci. 110 (2015), pp. 308–320.
  • S.R. Kalidindi, Incorporation of deformation twinning in crystal plasticity models. J. Mech. Phys. Solids 46 (1998), pp. 267–290.
  • S.R. Kalidindi, Modeling anisotropic strain hardening and deformation textures in low stacking fault energy FCC metals. Int. J. Plast. 17 (2001), pp. 837–860.
  • A.A. Salem, S.R. Kalidindi, and S.L. Semiatin, Strain hardening due to deformation twinning in α-titanium: constitutive relations and crystal-plasticity modeling. Acta Mater. 53 (2005), pp. 3495–3502.
  • H. Abdolvand, M.R. Daymond, and C. Mareau, Incorporation of twinning into a crystal plasticity finite element model: evolution of lattice strains and texture in zircaloy-2. Int. J. Plast. 27 (2011), pp. 1721–1738.
  • S.R. Niezgoda, A.K. Kanjarla, I.J. Beyerlein, and C.N. Tomé, Stochastic modeling of twin nucleation in polycrystals: an application in hexagonal close-packed metals. Int. J. Plast. 56 (2014), pp. 119–138.
  • H. Wang, P.D. Wu, and J. Wang, Modelling the role of slips and twins in magnesium alloys under cyclic shear. Comp. Mater. Sci. 96 (2015), pp. 214–218.
  • X. Wu, S. Kalidindi, C. Necker, and A. Salem, Prediction of crystallographic texture evolution and anisotropic stress-strain curves during large plastic strains in high purity α-titanium using a Taylor-type crystal plasticity model. Acta Mater. 55 (2007), pp. 423–432.
  • J. Zhang and S.P. Joshi, Phenomenological crystal plasticity modeling and detailed micromechanical investigations of pure magnesium. J. Mech. Phys. Solids 60 (2012), pp. 945–972.
  • M. Lindroos, G. Cailletaud, A. Laukkanen, and V.T. Kuokkala, Crystal plasticity modeling and characterization of the deformation twinning and strain hardening in Hadfield steels. Mater. Sci. Eng. A. 720 (2018), pp. 145–159.
  • Y. Tadano, Y. Yoshihara, and S. Hagihara, A crystal plasticity modeling considering volume fraction of deformation twinning. Int. J. Plast. 84 (2016), pp. 88–101.
  • A. Arsenlis and D.M. Parks, Modeling the evolution of crystallographic dislocation density in crystal plasticity. J. Mech. Phys. Solids 50 (2002), pp. 1979–2009.
  • S. Dancette, L. Delannay, K. Renard, M.A. Melchior, and P.J. Jacques, Crystal plasticity modeling of texture development and hardening in TWIP steels. Acta Mater. 60 (2012), pp. 2135–2145.
  • M.G. Lee, H. Lim, B.L. Adams, J.P. Hirth, and R.H. Wagoner, A dislocation density-based single crystal constitutive equation. Int. J. Plast. 26 (2010), pp. 925–938.
  • F. Roters, P. Eisenlohr, L. Hantcherli, D.D. Tjahjanto, T.R. Bieler, and D. Raabe, Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications. Acta Mater. 58 (2010), pp. 1152–1211.
  • H.J. Bong, J.W. Lee, M.G. Lee, and D.Y. Kim, Identification of mechanical responses of steel sheets under non-proportional loadings using dislocation-density based crystal plasticity model. Int. J. Mech. Sci. 155 (2019), pp. 461–474.
  • T.M. Povall, A.T. McBride, and B.D. Reddy, Finite element simulation of large-strain single-crystal viscoplasticity: an investigation of various hardening relations. Comp. Mater. Sci. 81 (2014), pp. 386–396.
  • B.D. Reddy, Variational formulations for single-crystal strain-gradient plasticity at large deformations. GAMM-Mitt. 36 (2013), pp. 149–160.
  • R. Hill and K.S. Havner, Perspectives in the mechanics of elasto-plastic crystals. J. Mech. Phys. Solids 30 (1982), pp. 5–22.
  • M.P. Petkov, J.N. Hu, E. Tarleton, and A.C.F. Cocks, Comparison of self-consistent and crystal plasticity FE approaches for modelling the high-temperature deformation of 316H austenitic stainless steel. Int. J. Solids Struct. 171 (2019), pp. 54–80.
  • C. Tomé, R. Lebensohn, and U. Kocks, A model for texture development dominated by deformation twinning: application to zirconium alloys. Acta Metall. 39 (1991), pp. 2667–2680.
  • P.D. Wu, X.Q. Guo, H. Qiao, and D.J. Lloyd, A constitutive model of twin nucleation, propagation and growth in magnesium crystals. Mater. Sci. Eng. A. 625 (2015), pp. 140–145.
  • R.J. Asaro and A. Needleman, Overview no.42 texture development and strain hardening in rate dependent polycrystals. Acta Mater. 33 (1985), pp. 923.
  • F. Roters, P. Eisenlohr, L. Hantcherli, D.D. Tjahjanto, T.R. Bieler, and D. Raabe, Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications. Acta Mater. 58 (2010), pp. 1152–1211.
  • M. Knezevic, M. Zecevic, I.J. Beyerlein, J.F. Bingert, and R.J. McCabe, Strain rate and temperature effects on the selection of primary and secondary slip and twinning systems in HCP Zr. Acta Mater. 88 (2015), pp. 55–73.
  • I.J. Beyerlein and C.N. Tomé, A dislocation-based constitutive law for pure Zr including temperature effects. Int. J. Plast. 24 (2008), pp. 867–895.
  • M.H. Yoo, Slip, twinning, and fracture in hexagonal close-packed metals. Metall. Mater. Trans. A. 12 (1981), pp. 409–418.
  • Q. Yu, Z.W. Shan, J. Li, X. Huang, L. Xiao, J. Sun, and E. Ma, Strong crystal size effect on deformation twinning. Natrue 463 (2010), pp. 335–338.
  • O. Casals, J. Ocenasek, and J. Alcala, Crystal plasticity finite element simulations of pyramidal indentation in copper single crystals. Acta Mater. 55 (2007), pp. 55–68.
  • K. Renard and P.J. Jacques, On the relationship between work hardening and twinning rate in TWIP steels. Mater. Sci. Eng. A. 542 (2012), pp. 8–14.
  • O. Bouaziz, S. Allain, C.P. Scott, P. Cugy, and D. Barbier, High manganese austenitic twinning induced plasticity steels: a review of the microstructure properties relationships. Curr. Opin. Solid St. M. 15 (2011), pp. 141–168.
  • S. Allain, J.-P. Chateau, and O. Bouaziz, A physical model of the twinning-induced plasticity effect in a high manganese austenitic steel. Mater. Sci. Eng. A. 387–389 (2004), pp. 143–147.
  • X. Huang, Grain orientation effect on microstructure in tensile strained copper. Scr. Mater. 38 (1998), pp. 1697–1703.
  • S. Rawat, S. Chandra, V.M. Chavan, S. Sharma, M. Warrier, S. Chaturvedi, and R.J. Patel, Integrated experimental and computational studies of deformation of single crystal copper at high strain rates. J. Appl. Phys. 116 (2014), pp. 213507.
  • J.N. Florando, M.M. LeBlanc, and D.H. Lassila, Multiple slip in copper single crystals deformed in compression under uniaxial stress. Scr. Mater. 57 (2007), pp. 537–540.
  • K.H. Kim and Y.M. Koo, In-situ X-ray diffraction study of single-slip-conditioned copper single crystals during uniaxial deformations. Philos. Mag. A. 81 (2001), pp. 479–448.
  • H. Mughrabi, T. Ungár, W. Kienle, and M. Wilkens, Long-range internal stresses and asymmetric X-ray line-broadening in tensile-deformed [001]-orientated copper single crystals. Philos. Mag. A. 53(6) (1986), pp. 793–813.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.