Abstract
A new physical model of plastic deformation in nanocrystalline (NC) materials with finest grains (whose grain size is 2–4 nm) is suggested and theoretically described. The model represents the effect of the finest grains located at triple junctions on the fracture toughness of NC materials in the case that there are multiple dislocations pile-up at grain boundaries (GBs). The maximum number n of the pile-up dislocations is determined by both the capacity of dislocations emitting associated with the crack propagation and the capacity of dislocations pile-up due to the existence of the finest grains. The calculation indicates that the parameter n increases with increment of the grain size and decreases with the finest grain size increasing. The results theoretically reveal that the triple junctions with finest grains can significantly improve the fracture toughness of NC materials compared with the normal triple junctions in wide ranges of their structural parameters.
Similar content being viewed by others
References
K.M. Youssef, R.O. Scattergood, K.L. Murty, J.A. Horton, C.C. Koch, and N. Carolina: Ultrahigh strength and high ductility of bulk nanocrystalline copper. Appl. Phys. Lett. 87, 091904 (2005).
Z. Shan, E.A. Stach, J.M.K. Wiezorek, J.A. Knapp, D.M. Follstaedt, and S.X. Mao: Grain boundary-mediated plasticity in nanocrystalline nickel. Science 305, 654 (2004).
A.K. Mukherjee: An examination of the constitutive equation for elevated temperature plasticity. Mater. Sci. Eng. A 322, 1 (2002).
C.C. Koch: Structural nanocrystalline materials: An overview. J. Mater. Sci. 42, 1403 (2007).
H. Van Swygenhoven and M. Spaczer: Microscopic description of plasticity in computer generated metallic nanophase samples: A comparison between Cu and Ni. Acta Mater. 47, 3117 (1999).
H. Van Swygenhoven and P. Derlet: Grain-boundary sliding in nanocrystalline fcc metals. Phys. Rev. B 64, 224105 (2001).
J. Monk, B. Hyde, and D. Farkas: The role of partial grain boundary dislocations in grain boundary sliding and coupled grain boundary motion. J. Mater. Sci. 41, 7741 (2006).
F. Yang and W. Yang: Brittle versus ductile transition of nanocrystalline metals. Int. J. Solids Struct. 45, 3897 (2008).
F. Yang and W. Yang: Crack growth versus blunting in nanocrystalline metals with extremely small grain size. J. Mech. Phys. Solids 57, 305 (2009).
M.Y. Gutkin, T. Ishizaki, S. Kuramoto, I.A. Ovid’ko, and N.V. Skiba: Giant faults in deformed gum metal. Int. J. Plasticity 24, 1333 (2008).
I. Zizak, N. Darowski, S. Klaumünzer, G. Schumacher, J. Gerlach, and W. Assmann: Ion-beam-induced collective rotation of nanocrystals. Phys. Rev. Lett. 101, 065503 (2008).
S.P. Joshi and K.T. Ramesh: Rotational diffusion and grain size dependent shear instability in nanostructured materials. Acta Mater. 56, 282 (2008).
I.A. Ovid’ko and A.G. Sheinerman: Special rotational deformation in nanocrystalline metals and ceramics. Scripta Mater. 59, 119 (2008).
N.F. Morozov, I.A. Ovid’ko, A.G. Sheinerman, and E.C. Aifantis: Special rotational deformation as a toughening mechanism in nanocrystalline solids. J. Mech. Phys. Solids 58, 1088 (2010).
Y. Liu, J. Zhou, T.D. Shen, and D. Hui: Grain rotation dependent fracture toughness of nanocrystalline materials. Mater. Sci. Eng. A 528, 7684 (2011).
X. Li, J. Zhou, R. Zhu, Y. Liu, and H. Jiang: Grain rotation dependent non-homogeneous deformation behavior in nanocrystalline materials. Mater. Sci. Eng. A 527, 5677 (2010).
A.J. Asaro, P. Krysl, and B. Kad: Deformation mechanism transitions in nanoscale fcc metals. Philos. Mag. Lett. 83,733 (2003).
I.A. Ovid’ko and A.G. Sheinerman: Ductile vs. brittle behavior of pre-cracked nanocrystalline and ultrafine-grained materials. Acta Mater. 58, 5286 (2010).
A. Latapie and D. Farkas: Molecular dynamics investigation of the fracture behavior of nanocrystalline α-Fe. Phys. Rev. B 69, 134110 (2004).
X. Xu, T. Nishimura, N. Hirosaki, R. Xie, Y. Yamamoto, and H. Tanaka: Superplastic deformation of nano-sized silicon nitride ceramics. Acta Mater. 54, 255 (2006).
A.A. Fedorov, M.Y. Gutkin, and I.A. Ovid’ko: Transformations of grain boundary dislocation pile-ups in nano- and polycrystalline materials. Acta Mater. 51, 887 (2003).
J. Schiøtz and K.W. Jacobsen: A maximum in the strength of nanocrystalline copper. Science 301, 1357 (2003).
C. Zheng and Y.W. Zhang: Atomistic simulations of mechanical deformation of high-angle and low-angle nanocrystalline copper at room temperature. Mater. Sci. Eng. A 423, 97 (2006).
A. Satta, E. Pisanu, L. Colombo, and F. Cleri: Microstructure evolution at a triple junction in polycrystalline materials. J. Phys. Condens. Matter 14, 13003 (2002).
H. Gleiter: Our thoughts are ours, their ends none of our own: Are there ways to synthesize materials beyond the limitations of today?Acta Mater. 56, 5875 (2008).
L. Hu, R. Huo, J. Zhou, Y. Wang, and S. Zhang: The effects of the finest grains on the mechanical behaviours of nanocrystalline materials. J. Nanopart. Res. 14, 677 (2012).
Y. Liu, J. Zhou, T. Shen, and D. Hui: Effects of ultrafine nanograins on the fracture toughness of nanocrystalline materials. J. Mater. Res. 26, 1734 (2011).
J.Y. Huang, Y.T. Zhu, H. Jiang, and T.C. Lowe: Microstructures and dislocation configurations in nanostructured Cu processed by repetitive corrugation and straightening. Acta Mater. 49, 1497 (2001).
R.Z. Valiev: Nanostructuring of metals by severe plastic deformation for advanced properties. Nat. Mater. 3, 511 (2004).
S.V. Bobylev, A.K. Mukherjee, I.A. Ovid, and A.G. Sheinerman: Effects of intergrain sliding on crack growth in nanocrystalline materials. Int. J. Plasticity 26, 1629 (2010).
H. Li and F. Ebrahimi: Transition of deformation and fracture behaviors in nanostructured face-centered-cubic metals. Appl. Phys. Lett. 84, 4307 (2004).
S.V. Bobylev, A.K. Mukherjee, and I.A. Ovid’ko: Emission of partial dislocations from amorphous intergranular boundaries in deformed nanocrystalline ceramics. Scripta Mater. 60, 36 (2009).
J.P. Hirth and J. Lothe: Theory of Dislocations (Krieger Publishing Company, Florida, 1982).
N. Du, A. Bower, P. Krajewski, and E. Taleff: The influence of a threshold stress for grain boundary sliding on constitutive response of polycrystalline Al during high temperature deformation. Mater. Sci. Eng. A 494, 86 (2008).
J. Eshelby, F. Frank, and F. Nabarro: XLI. The equilibrium of linear arrays of dislocations. Philos. Mag. 42, 351 (1951).
I.H. Lin and R. Thomson: Cleavage, dislocation emission, and shielding for cracks under general loading. Acta Metall. 34, 187 (1986).
J.R. Rice and R. Thomson: Ductile versus brittle behaviour of crystals. Philos. Mag. 29, 73 (1974).
W.Z. Han, Z.F. Zhang, S.D. Wu, and S.X. Li: Combined effects of crystallographic orientation, stacking fault energy and grain size on deformation twinning in fcc crystals. Philos. Mag. 88, 3011 (2008).
ACKNOWLEDGMENTS
This work was supported by Key Project of Chinese Ministry of Education (211061), National Natural Science Foundation of China (10502025, 10872087, 11272143), and Program for Chinese New Century Excellent Talents in university (NCET-12-0712).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wu, Y., Zhou, J., Liu, H. et al. The effects of intergranular sliding on the fracture toughness of nanocrystalline materials with finest grains. Journal of Materials Research 29, 1086–1094 (2014). https://doi.org/10.1557/jmr.2014.89
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1557/jmr.2014.89