A Micromechanical Model for Deformation Behavior of Nanocrystalline Copper

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Abstract:

Molecular dynamics simulations have show that nanocrystalline (NC) materials can be treated as composite materials consisting of two phases of grain and grain boundary. In this paper, the incremental stress-strain relation is derived based on deformation mechanism of NC materials and internal variable theory from micromechanics point of view. The developed model is exemplified by the pure copper subjected to uniaxial tension. Implicated iteration algorithm is then employed to obtain the stress-strain relation. Moreover, the effects of grain shape and statistical distribution of grain sizes are also discussed, and predicted results are compared with experimental values to verify the model.

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Advanced Materials Research (Volumes 152-153)

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772-777

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October 2010

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] H. Gleiter: Acta Mater. Vol. 48 (2000), p.1.

Google Scholar

[2] H.S. Kim, Y. Estrin, M.B. Bush: Acta Mater. Vol. 48 (2000), p.493.

Google Scholar

[3] R. A. Valiev: Mat. Sci. Eng. Vol. A234-236 (1997), p.59.

Google Scholar

[4] J. Schiotz, Di Tolla FD, KW Jacobsen: Nature Vol. 39 (1998), p.561.

Google Scholar

[5] J Schiotz, KW Jacobsen: Science Vol. 301 (2003), p.1357.

Google Scholar

[6] H Van Swygenhoven, M Spaczer, A Caro: Acta Mater. Vol. 47 (1999), p.3117.

Google Scholar

[7] V Yamakov, D Wolf, SR Phillpot, H Gleiter: Acta Mater. Vol. 50 (2002), p.61.

Google Scholar

[8] Yamakov V, Moldovan D, Rastogi K, Wolf D: Acta Mater. Vol. 54 (2006), p.4053.

Google Scholar

[9] M.A. Tschopp, D.L. McDowell: Scripta Mater. Vol. 58 (2008), p.299.

Google Scholar

[10] Z. Zirge: Introduction to thermomechanics. Amsterdam: North-Holland (1983).

Google Scholar

[11] J. R. Rice: J. Mech. Phys. Solids Vol. 19 (1971), p.433.

Google Scholar

[12] T. Mura: Micromechanics of defects in solids. Martinus Nijhoff publishers, The Hague (1987).

Google Scholar

[13] R Hill: The mathematical theory of plasticity, Oxford University Press, London (1950).

Google Scholar

[14] Khaled M. Youssef, Ronald O. Scattergood, K. Linga Murty: Appl. Phys. Lett. Vol. 87 (2005), p.091904.

Google Scholar

[15] P. G. Sanders, J. A. Eastman, J. R. Weertman: Acta Mater. Vol. 45 (1997), p.4019.

Google Scholar

[16] Guang-Ping Zheng: Acta Mater. Vol. 55 (2007), p.149.

Google Scholar

[17] Y.H. Zhao, X.Z. Liao, Y.T. Zhu, Z. Horita and T.G. Langdon: Mater. Sci. Eng. Vol. A410-411 (2005), p.188.

Google Scholar