Abstract
Molecular dynamics (MD) simulations are used to investigate the compression of nickel nanopillars in the ranges from 3 to 18 nm grain size (d) and from 12 to 30 nm specimen size (D). The results reveal that grain size play a more significant role than specimen size. There is a strong grain size effect—smaller is weaker—on the yield as well as the flow stress. The deformation is mainly governed by grain boundary (GB) motion for d < 12 nm, while for \( d \ge 12\;{\text{nm}} \), it is governed by dislocation activity. When the grain size is small enough, the deformation of nanopillar is specimen size independent. For larger grain sizes, an irregular fluctuation in flow stress is observed resulting from sensitivity to grain orientation, fracture, and coalescence. Extended dislocations and twins play important roles in grain-shape evolution during compression. Due to the high fraction of surface grains, the “theory based on GB-shear and surface layer” is found inapplicable to explain the size effect in the plasticity of specimens with small number of grains across their diameter. Consequently, an expression of flow stress is proposed that includes effects of grain and specimen sizes, and the specimen-to-grain size ratios.
Similar content being viewed by others
References
H. Gleiter: Progress in Materials Science, 1989, vol. 33, pp. 223-315.
M.A. Meyers, A. Mishra, and D.J. Benson: Progress in Materials Science, 2006, vol. 51, pp. 427-556.
H. van Swygenhoven, M. Spaczer, A. Caro, and D. Farkas: Physical Review B, 1999, vol. 60, pp. 22-25.
E.O. Hall: Proceedings of the Physical Society. Section B, 1951, vol. 64, pp. 747.
N.L. Petch: The Journal of the Iron and Steel Institute, 1953, vol. 174, pp. 25-28.
A.H. Chokshi, A. Rosen, J. Karch, H. Gleiter: Scripta Metall. 1989, vol. 23, pp. 1679–1683.
J. Schiøtz, F.D. Di Tolla, K.W. Jacobsen: Nature, 1998, vol. 39, pp. 561.
G.E. Fougere, J.R. Weertman, R.W. Siegel, S. Kim: Scripta Metallurgica et Materialia, 1992, vol. 26, pp. 1879-1883.
J. Schiøtz, K.W. Jacobsen: Science, 2003, vol. 301, pp. 1357–1359.
A. Kunz, S. Pathak, and J.R. Greer: Acta Materialia, 2011, vol. 59, pp. 4416-4424.
D. Jang, and J.R. Greer: Scripta Materialia, 2011, vol. 64, pp. 77-80.
X.X. Chen, and A.H.W. Ngan: Scripta Materialia, 2011, vol. 64, pp. 717-720.
X.W. Gu, C.N. Loynachan, Z. Wu, Y.W. Zhang, D.J. Srolovitz, and J.R. Greer: Nano letters, 2012, vol. 12, pp. 6385-6392.
T. Nagoshi, M. Mutoh, T.F.M. Chang, T. Sato, and M. Sone: Materials Letters, 2014, vol. 117, pp. 256-259.
J.Y. Zhang, K. Kishida, and H. Inui: International Journal of Plasticity, 2017, vol. 92, pp. 45-56.
J.R. Greer, W.C. Oliver, and W.D. Nix: Acta Materialia, 2005, vol.53, pp. 1821-1830.
J.R. Greer, and W.D. Nix: Physical Review B, 2006, vol, 73, pp. 245410.
T.A. Parthasarathy, S.I. Rao, D.M. Dimiduk, M.D. Uchic, and D.R. Trinkle: Scripta Materialia, 2007, vol. 56, pp. 313-316.
S.I. Rao, D.M. Dimiduk, M.D. Uchic, T.A. Parthasarathy, and C. Woodward: Philosophical Magazine, 2007, vol. 87, pp. 4777-4794.
S.I. Rao, D.M. Dimiduk, T.A. Parthasarathy, M.D. Uchic, M. Tang, and C. Woodward: Acta Materialia, 2008, vol. 56, pp. 3245-3259.
S. Xu, Y.F. Guo, and A.H.W. Ngan: International Journal of Plasticity, 2013, vol. 43, pp. 116-127.
F. Hammami, and Y. Kulkarni: Journal of Applied Physics, 2014, vol. 116, pp. 033512.
Y. Mohammadreza, and G.Z. Voyiadjis: Acta Materialia, 2016, vol. 121, pp. 190-201.
A.T. Jennings, M.J. Burek, and J.R. Greer: Physical review letters, 2010, vol. 104, pp. 135503.
Z.T. Xu, L.F. Peng, M.W. Fu, and X.M. Lai: International Journal of Plasticity, 2015, vol. 68, pp. 34-54.
X.B. Feng, J.Y. Zhang, Y.Q. Wang, Z.Q. Hou, K. Wu, G. Liu, and J. Sun: International Journal of Plasticity, 2017, vol. 95, pp. 264-277.
X.X. Chen, and A.H.W. Ngan: Materials Science and Engineering A, 2012, vol. 539, pp. 74-84.
P.S.S. Leung, and A.H.W. Ngan: Scripta Materialia, 2013, vol. 69, pp. 235-238.
X. Liu, F. Yuan, and Y. Wei: Applied Surface Science, 2013, vol. 279, pp. 159-166.
Y. Zhu, Z. Li, and M. Huang: Journal of Applied Physics, 2014, vol. 115, pp. 233508.
Y.X. Zhu, Z.H. Li, and M.S. Huang: Scripta Materialia, 2013, vol. 68, pp. 663-666.
P.M. Derlet, and H. van Swygenhoven: Physical Review B, 2003, vol. 67, pp. 014202.
Z.X. Wu, Y.W. Zhang, and D.J. Srolovitz: Acta Materialia, 2011, vol. 59, pp. 6890-6900.
V. Yamakov, D. Wolf, S.R. Phillpot, and H. Gleiter: Acta Materialia, 2002, vol. 50, pp. 61-73.
Y. Mishin, D. Farkas, M.J. Mehl, and D.A. Papaconstantopoulos: Physical Review B, 1999, vol. 59, pp. 3393-3407.
S. Plimpton: Journal of Computational Physics, 1995, vol. 117, pp. 1-19.
A. Stukowski: Modelling and Simulation in Materials Science and Engineering, 2010, vol. 18, pp. 015012.
J.D. Honeycutt, and H.C. Andersen: The Journal of Physical Chemistry, 1987, vol. 91, pp. 4950-4963.
H. Tsuzuki, P.S. Branicio, and J.P. Rino: Computer Physics Communications, 2007, vol. 177, pp. 518-523.
D.E. Spearot, and D. I. McDowell: Journal of Engineering Materials and Technology-Transactions of the ASME, 2009, vol 131, pp. 041204.
X.Y. Li, Y.J. Wei, L. Lu, K. Lu, and H.J. Gao: Nature, 2010, vol. 464, pp. 877-880.
F. Shimizu, S. Ogata, and J. Li: Materials Transactions, 2007, vol. 48, pp. 2923-2927.
T.J. Rupert: Journal of Applied Physics, 2013, vol. 114, pp. 033527.
C.A. Schuh, T.G. Nieh, and T. Yamasaki: Scripta Materialia, 2002, vol. 46, pp. 735-740.
C.E. Carlton, and P.J. Ferreira: Acta Materialia, 2007, vol. 55, pp. 3749-3756.
C.J. Wang, C.J. Wang, J. Xu, P. Zhang, D.B. Shan, and B. Guo: Materials Science and Engineering A, 2015, vol. 636, pp. 352-360.
J.L. Wang, M.W. Fu, and S.Q. Shi: Materials & Design, 2017, vol. 131, pp. 69-80.
J.Y. Zhang, G. Liu, R.H. Wang, J. Li, J. Sun, and E. Ma: Physical review B, 2010, vol. 81, pp. 172104.
X. L. Wu, and Y. T. Zhu: Physical review letters, 2008, vol. 101, pp. 025503.
Y. T. Zhu, X. Z. Liao, X. L. Wu, and J. Narayan: Journal of Material Science, 2013, vol. 48, pp. 4467-4475.
Y.T. Zhu, X.Z. Liao, and X.L. Wu: Progress in Materials Science, 2012, vol. 57, pp. 1-62.
H. Conrad: Metallurgical and Materials Transaction A, 2004, vol. 35, pp. 2681-2695.
U. Engel, and R. Eckstein: Journal of Materials Processing Technology, 2002, vol. 125, pp. 35-44.
M. Geiger, M. Kleiner, R. Eckstein, N. Tiesler, and U. Engel: CIRP Annals-Manufacturing Technology, 2001, vol. 50, pp. 445-462.
X. Lai, L. Peng, P. Hu, S. Lan, and J. Ni: Computational Materials Science, 2008, vol. 43, pp. 1003-1009.
R.J. Asaro, and S. Suresh: Acta Materialia, 2005, vol. 53, pp. 3369-3382.
A. S. Argon, and S. Yip: Philosophical Magazine Letters, 2006, vol. 86, pp. 713-720.
N.L. Okamoto, D. Kashioka, T. Hirato, and H. Inui: International Journal of Plasticity, 2014, vol. 56, pp. 173-183.
Acknowledgments
This work was supported by a grant from the National Natural Science Foundation of China (Grant No. 51675127). The access to software and hardware for atomistic simulations was provided by a computational resource grant #PAS0172 from the Ohio Super Computer Center, Columbus, Ohio, USA.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Manuscript submitted October 13, 2018.
Rights and permissions
About this article
Cite this article
Yuan, L., Xu, C., Shivpuri, R. et al. Size Effect in the Uniaxial Compression of Polycrystalline Ni Nanopillars with Small Number of Grains. Metall Mater Trans A 50, 4462–4479 (2019). https://doi.org/10.1007/s11661-019-05334-6
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11661-019-05334-6